diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt
index d839bb9070763a61d4c6ef60ba1f444230753da6..a18c2908e8c99485bbc83ac3e64d75d350c90408 100644
--- a/examples/CMakeLists.txt
+++ b/examples/CMakeLists.txt
@@ -4,3 +4,4 @@ add_subdirectory(biomineralization)
 add_subdirectory(shallowwaterfriction)
 add_subdirectory(freeflowchannel)
 add_subdirectory(1protationsymmetry)
+add_subdirectory(liddrivencavity)
diff --git a/examples/README.md b/examples/README.md
index 8f3fc62a4fea95e70068e964ea73a469b73475a6..4c5b8d7762e4fea7c0ebcfc3b66325d80e98f022 100644
--- a/examples/README.md
+++ b/examples/README.md
@@ -112,3 +112,20 @@ You learn how to
 <figure><img src="biomineralization/img/pore_scale_w_processes_named.png" alt="biomin result"/></figure></td>
 </a></td>
 </tr></table>
+
+### [:open_file_folder: Example 7: Lid-driven cavity](liddrivencavity/README.md)
+
+<table><tr><td>
+
+In this example, we simulate laminar incompressible flow in a cavity with the Navier-Stokes equations.
+You learn how to
+
+* solve a single-phase Navier-Stokes flow problem
+* compare the results of Stokes flow (Re = 1) and Navier-Stokes flow (Re = 1000)
+* compare the numerical results with the reference data using the plotting library `matplotlib`
+
+</td>
+<td width="20%"><a href="liddrivencavity/README.md">
+<figure><img src="liddrivencavity/img/setup.png" alt="liddriven result"/></figure></td>
+</a></td>
+</tr></table>
diff --git a/examples/liddrivencavity/.doc_config b/examples/liddrivencavity/.doc_config
new file mode 100644
index 0000000000000000000000000000000000000000..530d73c8ed3017f8164fb5880aa86ec3b075b29b
--- /dev/null
+++ b/examples/liddrivencavity/.doc_config
@@ -0,0 +1,28 @@
+{
+    "README.md" : [
+        "doc/_intro.md"
+    ],
+
+    "doc/problem.md" : [
+        "doc/problem_intro.md",
+        "properties.hh",
+        "problem.hh",
+        "main.cc"
+    ],
+
+    "doc/postprocessing.md" : [
+        "doc/postprocessing_text.md"
+    ],
+
+    "navigation" : {
+        "mainpage" : "README.md",
+        "subpages" : [
+            "doc/problem.md",
+            "doc/postprocessing.md"
+        ],
+        "subtitles" : [
+            "Implementation",
+            "Post-processing"
+        ]
+    }
+}
diff --git a/examples/liddrivencavity/CMakeLists.txt b/examples/liddrivencavity/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..2dbaaf9e00df1e7e7ba65dc992a71b8d03f21321
--- /dev/null
+++ b/examples/liddrivencavity/CMakeLists.txt
@@ -0,0 +1,34 @@
+add_subdirectory(reference_data)
+dune_symlink_to_source_files(FILES "params_re1.input" "params_re1000.input" "run_and_plot.py")
+
+dumux_add_test(NAME example_ff_liddrivencavity
+               SOURCES main.cc
+               LABELS freeflow navierstokes example
+               CMAKE_GUARD HAVE_UMFPACK
+               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+               CMD_ARGS      --script fuzzy
+                             --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_closedsystem_ldc_re1-reference.vtu
+                                     ${CMAKE_CURRENT_BINARY_DIR}/example_ff_liddrivencavity_re1-00002.vtu
+                             --command "${CMAKE_CURRENT_BINARY_DIR}/example_ff_liddrivencavity params_re1.input
+                             -Grid.Cells \"64 64\"")
+
+dumux_add_test(NAME example_ff_liddrivencavity_re1000
+               TARGET example_ff_liddrivencavity
+               LABELS freeflow navierstokes example
+               CMAKE_GUARD HAVE_UMFPACK
+               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+               CMD_ARGS      --script fuzzy
+                             --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_closedsystem_ldc_re1000-reference.vtu
+                                     ${CMAKE_CURRENT_BINARY_DIR}/example_ff_liddrivencavity_re1000-00009.vtu
+                             --command "${CMAKE_CURRENT_BINARY_DIR}/example_ff_liddrivencavity params_re1000.input
+                             -Grid.Cells \"64 64\" -TimeLoop.TEnd 50")
+
+# test plot script
+dumux_add_test(NAME example_ff_liddrivencavity_plot
+               TARGET example_ff_liddrivencavity
+               COMMAND ${CMAKE_CURRENT_BINARY_DIR}/run_and_plot.py
+               CMD_ARGS -s -n)
+
+set_tests_properties(example_ff_liddrivencavity_plot
+                     PROPERTIES LABELS example
+                     DEPENDS "example_ff_liddrivencavity;example_ff_liddrivencavity_re1000")
diff --git a/examples/liddrivencavity/README.md b/examples/liddrivencavity/README.md
new file mode 100644
index 0000000000000000000000000000000000000000..fc695a9400f8627cb25c4e02d8ba555741f4ca6f
--- /dev/null
+++ b/examples/liddrivencavity/README.md
@@ -0,0 +1,76 @@
+<!-- Important: This file has been automatically generated by generate_example_docs.py. Do not edit this file directly! -->
+
+# Shear-driven cavity flow
+
+We use the Navier-Stokes equations to simulate laminar incompressible flow in a
+cavity whose lid moves with a constant velocity u = 1 m/s.
+We will verify the numerical model by comparing the simulation results with reference data published in [Ghia et al. (1982)](https://doi.org/10.1016/0021-9991(82)90058-4) and [Jurjević (1999)](https://doi.org/10.1002/(SICI)1097-0363(19991015)31:3<601::AID-FLD892>3.0.CO;2-Z).
+
+__Results__. After simulating a few time steps, we will obtain the following velocity field for Reynolds number Re = 1 and Re = 1000:
+<figure>
+    <center>
+        <img src="img/result.svg" alt="Numerical results" width="50%"/>
+        <figcaption> <b> Fig.1 </b> - Steady velocity field for Stokes (left) and Navier-Stokes flow for the lid-driven cavity problem.</figcaption>
+    </center>
+</figure>
+Our numerical results agree well with the reference data:
+<figure>
+    <center>
+        <img src="img/lidverification.png" alt="Lid-driven cavity verification" width="90%"/>
+    </center>
+    <figcaption> <b> Fig.2 </b> - Horizontal and vertical velocity profiles at x = 0.5 m and y = 0.5 m for Re = 1 (left) and Re = 1000 (right). exp: experimental data; num: numerical data.</figcaption>
+</figure>
+
+__In this example, you will__
+
+* solve a single-phase Navier-Stokes flow problem
+* see the differences between Stokes flow (Re = 1) and Navier-Stokes flow (Re = 1000)
+* compare the numerical results with the reference data using the plotting library `matplotlib`
+
+__Table of contents__. This description is structured as follows:
+
+[[_TOC_]]
+
+## Problem setup
+
+Flow in a cavity with the dimensions 1 m × 1 m is considered, where the top lid is
+moving at a constant speed of 1 m/s to the right.
+
+The following figure illustrates the setup:
+
+<figure>
+    <center>
+        <img src="img/setup.png" alt="Lid-driven cavity setup" width="35%"/>
+        <figcaption> <b> Fig.3 </b> - Setup for the lid-driven cavity problem.</figcaption>
+    </center>
+</figure>
+
+Two different flow regimes at Re = 1 ($`\nu = 1`$ $`\text{m}^2/\text{s}`$) and Re = 1000 ($`\nu = 1000`$  $`\text{m}^2/\text{s}`$) are simulated, where the Reynolds number is defined with respect to the cavity’s side length.
+
+## Mathematical & numerical models
+
+Mass and momentum balance are given by
+
+```math
+\nabla \cdot \bold{v} =0,
+```
+```math
+ \frac{(\partial\rho\bold{v})}{\partial t} + \nabla \cdot (\rho\bold{v}\bold{v}^{\text{T}}) =\nabla\cdot\left[\mu\left(\nabla\bold{v}+\nabla\bold{v}^{\text{T}}\right)\right]- \nabla p,
+```
+
+where $`\bold{v}`$ and p are the velocity and pressure of the fluid (primary variables). $`\rho`$ and $`\mu=\rho\nu`$ are the mass density and dynamic viscosity (fluid properties).
+
+All equations are discretized with the staggered-grid finite-volume scheme as spatial discretization with pressures and velocity components as primary variables. For details on the discretization scheme, we refer to the DuMu<sup>x</sup> [handbook](https://dumux.org/docs/handbook/master/dumux-handbook.pdf).
+
+# Implementation & Postprocessing
+
+## Part 1: Implementation
+
+| [:arrow_right: Click to continue with part 1 of the documentation](doc/problem.md) |
+|---:|
+
+
+## Part 2: Post-processing
+
+| [:arrow_right: Click to continue with part 2 of the documentation](doc/postprocessing.md) |
+|---:|
diff --git a/examples/liddrivencavity/doc/_intro.md b/examples/liddrivencavity/doc/_intro.md
new file mode 100644
index 0000000000000000000000000000000000000000..c0de3615e964b6b90bd13adecc4d677e4c4bdcdc
--- /dev/null
+++ b/examples/liddrivencavity/doc/_intro.md
@@ -0,0 +1,63 @@
+# Shear-driven cavity flow
+
+We use the Navier-Stokes equations to simulate laminar incompressible flow in a
+cavity whose lid moves with a constant velocity u = 1 m/s.
+We will verify the numerical model by comparing the simulation results with reference data published in [Ghia et al. (1982)](https://doi.org/10.1016/0021-9991(82)90058-4) and [Jurjević (1999)](https://doi.org/10.1002/(SICI)1097-0363(19991015)31:3<601::AID-FLD892>3.0.CO;2-Z).
+
+__Results__. After simulating a few time steps, we will obtain the following velocity field for Reynolds number Re = 1 and Re = 1000:
+<figure>
+    <center>
+        <img src="img/result.svg" alt="Numerical results" width="50%"/>
+        <figcaption> <b> Fig.1 </b> - Steady velocity field for Stokes (left) and Navier-Stokes flow for the lid-driven cavity problem.</figcaption>
+    </center>
+</figure>
+Our numerical results agree well with the reference data:
+<figure>
+    <center>
+        <img src="img/lidverification.png" alt="Lid-driven cavity verification" width="90%"/>
+    </center>
+    <figcaption> <b> Fig.2 </b> - Horizontal and vertical velocity profiles at x = 0.5 m and y = 0.5 m for Re = 1 (left) and Re = 1000 (right). exp: experimental data; num: numerical data.</figcaption>
+</figure>
+
+__In this example, you will__
+
+* solve a single-phase Navier-Stokes flow problem
+* see the differences between Stokes flow (Re = 1) and Navier-Stokes flow (Re = 1000)
+* compare the numerical results with the reference data using the plotting library `matplotlib`
+
+__Table of contents__. This description is structured as follows:
+
+[[_TOC_]]
+
+## Problem setup
+
+Flow in a cavity with the dimensions 1 m × 1 m is considered, where the top lid is
+moving at a constant speed of 1 m/s to the right.
+
+The following figure illustrates the setup:
+
+<figure>
+    <center>
+        <img src="img/setup.png" alt="Lid-driven cavity setup" width="35%"/>
+        <figcaption> <b> Fig.3 </b> - Setup for the lid-driven cavity problem.</figcaption>
+    </center>
+</figure>
+
+Two different flow regimes at Re = 1 ($`\nu = 1`$ $`\text{m}^2/\text{s}`$) and Re = 1000 ($`\nu = 1000`$  $`\text{m}^2/\text{s}`$) are simulated, where the Reynolds number is defined with respect to the cavity’s side length.
+
+## Mathematical & numerical models
+
+Mass and momentum balance are given by
+
+```math
+\nabla \cdot \bold{v} =0,
+```
+```math
+ \frac{(\partial\rho\bold{v})}{\partial t} + \nabla \cdot (\rho\bold{v}\bold{v}^{\text{T}}) =\nabla\cdot\left[\mu\left(\nabla\bold{v}+\nabla\bold{v}^{\text{T}}\right)\right]- \nabla p,
+```
+
+where $`\bold{v}`$ and p are the velocity and pressure of the fluid (primary variables). $`\rho`$ and $`\mu=\rho\nu`$ are the mass density and dynamic viscosity (fluid properties).
+
+All equations are discretized with the staggered-grid finite-volume scheme as spatial discretization with pressures and velocity components as primary variables. For details on the discretization scheme, we refer to the DuMu<sup>x</sup> [handbook](https://dumux.org/docs/handbook/master/dumux-handbook.pdf).
+
+# Implementation & Postprocessing
diff --git a/examples/liddrivencavity/doc/postprocessing.md b/examples/liddrivencavity/doc/postprocessing.md
new file mode 100644
index 0000000000000000000000000000000000000000..600b0d57ec667c5085dac6e9ad9353c48cb88672
--- /dev/null
+++ b/examples/liddrivencavity/doc/postprocessing.md
@@ -0,0 +1,49 @@
+<!-- Important: This file has been automatically generated by generate_example_docs.py. Do not edit this file directly! -->
+
+
+| [:arrow_left: Back to the main documentation](../README.md) | [:arrow_left: Go back to part 1](problem.md) |
+|---|---:|
+
+# Part 2: Post processing
+In this part we first visualize our simulation result and then a verification and validation of the Navier-Stokes model implemented in DuMu<sup>x</sup> is conducted.
+
+## Step 1. Visualize results with Paraview
+
+After building the executable, run it with `./example_ff_liddrivencavity params_re1.input` for the low Reynolds number case and
+`./example_ff_liddrivencavity params_re1000.input` for the high Reynolds number case, respectively.
+
+The result files (`.vtu` and `.pvd` files) can be opened with [ParaView](https://www.paraview.org/).
+To obtain a visualization as shown in the introduction of this documented example, after loading the result file(s), choose `Filters`>`Common`>`Stream Tracer`.
+For Re = 1 and Re = 1000, the result should look like this:
+
+<figure>
+    <center>
+        <img src="../img/result.svg" alt="Lid-driven cavity setup" width="50%"/>
+        <figcaption> <b> Fig.1 </b> - Steady velocity field for Stokes (left) and Navier-Stokes flow for the lid-driven cavity problem.</figcaption>
+    </center>
+</figure>
+
+
+## Step 2. Compare our data with reference
+
+The verification and validation are essential to guarantee the accuracy and credibility of the numerical models.
+The velocity components for the velocity components at x = 0.5m and y = 0.5m are obtained as we run the test cases. 
+
+We compare our results with the reference data reconstructed from [Ghia et al.](https://doi.org/10.1016/0021-9991(82)90058-4) and [Jurjević](https://doi.org/10.1002/(SICI)1097-0363(19991015)31:3<601::AID-FLD892>3.0.CO;2-Z).
+For convenience, we placed the reference data in the folder named `reference_data`. For instance, the files `ghia_x.csv` and `ghia_y.csv` represent the reference vertical velocity component $`v_x`$ at x = 0.5 m and $`v_y`$ at y = 0.5 m for the scenario Re = 1000, respectively.
+
+The other files in the folder `reference_data` represent the numerical and experimental data for the scenario Re = 1.
+Assuming that you have `python3` with `matplotlib` installed on your device, this comparison process can be done via the script `run_and_plot.py`. Type `python3 run_and_plot.py` in the command and you should see the following plot:
+
+<figure>
+    <center>
+        <img src="../img/lidverification.png" alt="Lid-driven cavity verification" width="90%"/>
+    </center>
+    <figcaption> <b> Fig.2 </b> - Horizontal and vertical velocity profiles at x = 0.5 m and y = 0.5 m for Re = 1 (left) and Re = 1000 (right).</figcaption>
+</figure>
+
+It can be seen that the numerical results calculated by DuMu<sup>x</sup> are in good agreement with the reference data.
+
+| [:arrow_left: Back to the main documentation](../README.md) | [:arrow_left: Go back to part 1](problem.md) |
+|---|---:|
+
diff --git a/examples/liddrivencavity/doc/postprocessing_text.md b/examples/liddrivencavity/doc/postprocessing_text.md
new file mode 100644
index 0000000000000000000000000000000000000000..02cc22c670fd90865dd64eeab15b85c743bd356c
--- /dev/null
+++ b/examples/liddrivencavity/doc/postprocessing_text.md
@@ -0,0 +1,39 @@
+# Part 2: Post processing
+In this part we first visualize our simulation result and then a verification and validation of the Navier-Stokes model implemented in DuMu<sup>x</sup> is conducted.
+
+## Step 1. Visualize results with Paraview
+
+After building the executable, run it with `./example_ff_liddrivencavity params_re1.input` for the low Reynolds number case and
+`./example_ff_liddrivencavity params_re1000.input` for the high Reynolds number case, respectively.
+
+The result files (`.vtu` and `.pvd` files) can be opened with [ParaView](https://www.paraview.org/).
+To obtain a visualization as shown in the introduction of this documented example, after loading the result file(s), choose `Filters`>`Common`>`Stream Tracer`.
+For Re = 1 and Re = 1000, the result should look like this:
+
+<figure>
+    <center>
+        <img src="../img/result.svg" alt="Lid-driven cavity setup" width="50%"/>
+        <figcaption> <b> Fig.1 </b> - Steady velocity field for Stokes (left) and Navier-Stokes flow for the lid-driven cavity problem.</figcaption>
+    </center>
+</figure>
+
+
+## Step 2. Compare our data with reference
+
+The verification and validation are essential to guarantee the accuracy and credibility of the numerical models.
+The velocity components for the velocity components at x = 0.5m and y = 0.5m are obtained as we run the test cases. 
+
+We compare our results with the reference data reconstructed from [Ghia et al.](https://doi.org/10.1016/0021-9991(82)90058-4) and [Jurjević](https://doi.org/10.1002/(SICI)1097-0363(19991015)31:3<601::AID-FLD892>3.0.CO;2-Z).
+For convenience, we placed the reference data in the folder named `reference_data`. For instance, the files `ghia_x.csv` and `ghia_y.csv` represent the reference vertical velocity component $`v_x`$ at x = 0.5 m and $`v_y`$ at y = 0.5 m for the scenario Re = 1000, respectively.
+
+The other files in the folder `reference_data` represent the numerical and experimental data for the scenario Re = 1.
+Assuming that you have `python3` with `matplotlib` installed on your device, this comparison process can be done via the script `run_and_plot.py`. Type `python3 run_and_plot.py` in the command and you should see the following plot:
+
+<figure>
+    <center>
+        <img src="../img/lidverification.png" alt="Lid-driven cavity verification" width="90%"/>
+    </center>
+    <figcaption> <b> Fig.2 </b> - Horizontal and vertical velocity profiles at x = 0.5 m and y = 0.5 m for Re = 1 (left) and Re = 1000 (right).</figcaption>
+</figure>
+
+It can be seen that the numerical results calculated by DuMu<sup>x</sup> are in good agreement with the reference data.
diff --git a/examples/liddrivencavity/doc/problem.md b/examples/liddrivencavity/doc/problem.md
new file mode 100644
index 0000000000000000000000000000000000000000..db1433f327cf4407d41ad2d7ccc85e93c815f370
--- /dev/null
+++ b/examples/liddrivencavity/doc/problem.md
@@ -0,0 +1,556 @@
+<!-- Important: This file has been automatically generated by generate_example_docs.py. Do not edit this file directly! -->
+
+
+| [:arrow_left: Back to the main documentation](../README.md) | [:arrow_right: Continue with part 2](postprocessing.md) |
+|---|---:|
+
+# Part 1: Implementation
+
+The implementation of simulation setup and main flow is structured as follows:
+
+[[_TOC_]]
+
+
+## Compile-time settings (`properties.hh`)
+
+In this file, the type tag used for this simulation is defined,
+for which we then specialize properties (compile time options) to the needs of the desired setup.
+
+
+<details open>
+<summary><b>Click to hide/show the file documentation</b> (or inspect the [source code](../properties.hh))</summary>
+
+
+### Includes
+<details><summary> Click to show includes</summary>
+
+The `NavierStokes` type tag specializes most of the properties required for Navier-
+Stokes single-phase flow simulations in DuMuX. We will use this in the following to inherit the
+respective properties and subsequently specialize those properties for our
+type tag, which we want to modify or for which no meaningful default can be set.
+
+```cpp
+#include <dumux/freeflow/navierstokes/model.hh>
+```
+
+We want to use `YaspGrid`, an implementation of the dune grid interface for structured grids:
+
+```cpp
+#include <dune/grid/yaspgrid.hh>
+```
+
+In this example, we want to discretize the equations with the staggered-grid
+scheme which is so far the only available option for free-flow models in DuMux:
+
+```cpp
+#include <dumux/discretization/staggered/freeflow/properties.hh>
+```
+
+The fluid properties are specified in the following headers (we use a liquid with constant properties as the fluid phase):
+
+```cpp
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/1pliquid.hh>
+```
+
+We include the problem header used for this simulation.
+
+```cpp
+#include "problem.hh"
+```
+
+</details>
+
+### Type tag definition
+
+We define a type tag for our simulation with the name `LidDrivenCavityExample`
+and inherit the properties specialized for the type tags `NavierStokes` and `StaggeredFreeFlowModel`.
+
+```cpp
+
+namespace Dumux::Properties {
+
+// We define the `LidDrivenCavityExample` type tag and let it inherit from the single-phase `NavierStokes`
+// tag (model) and the `StaggeredFreeFlowModel` (discretization scheme).
+namespace TTag {
+struct LidDrivenCavityExample { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
+} // end namespace TTag
+```
+
+### Property specializations
+
+In the following piece of code, mandatory properties for which no meaningful
+default exist are specialized for our type tag `LidDrivenCavityExample`.
+
+```cpp
+// This sets the fluid system to be used. Here, we use a liquid with constant properties as fluid phase.
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::LidDrivenCavityExample>
+{
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
+};
+
+// This sets the grid type used for the simulation. Here, we use a structured 2D grid.
+template<class TypeTag>
+struct Grid<TypeTag, TTag::LidDrivenCavityExample> { using type = Dune::YaspGrid<2>; };
+
+// This sets our problem class (see problem.hh) containing initial and boundary conditions.
+template<class TypeTag>
+struct Problem<TypeTag, TTag::LidDrivenCavityExample> { using type = Dumux::LidDrivenCavityExampleProblem<TypeTag> ; };
+```
+
+We also set some properties related to memory management
+throughout the simulation.
+<details><summary> Click to show caching properties</summary>
+
+In Dumux, one has the option to activate/deactivate the grid-wide caching of
+geometries and variables. If active, the CPU time can be significantly reduced
+as less dynamic memory allocation procedures are necessary. Per default, grid-wide
+caching is disabled to ensure minimal memory requirements, however, in this example we
+want to active all available caches, which significantly increases the memory
+demand but makes the simulation faster.
+
+
+```cpp
+// This enables grid-wide caching of the volume variables.
+template<class TypeTag>
+struct EnableGridGeometryCache<TypeTag, TTag::LidDrivenCavityExample> { static constexpr bool value = true; };
+//This enables grid wide caching for the flux variables.
+template<class TypeTag>
+struct EnableGridFluxVariablesCache<TypeTag, TTag::LidDrivenCavityExample> { static constexpr bool value = true; };
+// This enables grid-wide caching for the finite volume grid geometry
+template<class TypeTag>
+struct EnableGridVolumeVariablesCache<TypeTag, TTag::LidDrivenCavityExample> { static constexpr bool value = true; };
+} // end namespace Dumux::Properties
+```
+
+</details>
+
+</details>
+
+
+
+## Initial and boundary conditions (`problem.hh`)
+
+This file contains the __problem class__ which defines the initial and boundary
+conditions for the Navier-Stokes single-phase flow simulation.
+
+
+<details open>
+<summary><b>Click to hide/show the file documentation</b> (or inspect the [source code](../problem.hh))</summary>
+
+
+### Include files
+
+
+```cpp
+#include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
+```
+
+Include the `NavierStokesProblem` class, the base
+class from which we will derive.
+
+```cpp
+#include <dumux/freeflow/navierstokes/problem.hh>
+```
+
+Include the `NavierStokesBoundaryTypes` class which specifies the boundary types set in this problem.
+
+```cpp
+#include <dumux/freeflow/navierstokes/boundarytypes.hh>
+```
+
+### The problem class
+As we are solving a problem related to free flow, we create a new class called `LidDrivenCavityExampleProblem`
+and let it inherit from the class `NavierStokesProblem`.
+
+```cpp
+namespace Dumux {
+template <class TypeTag>
+class LidDrivenCavityExampleProblem : public NavierStokesProblem<TypeTag>
+{
+    using ParentType = NavierStokesProblem<TypeTag>;
+
+    using BoundaryTypes = Dumux::NavierStokesBoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>;
+    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
+    using FVElementGeometry = typename GridGeometry::LocalView;
+    using SubControlVolume = typename GridGeometry::SubControlVolume;
+    using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+    using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>;
+    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+
+    using Element = typename GridGeometry::GridView::template Codim<0>::Entity;
+    using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
+
+public:
+    // Within the constructor, we set the lid velocity to a run-time specified value.
+    LidDrivenCavityExampleProblem(std::shared_ptr<const GridGeometry> gridGeometry)
+    : ParentType(gridGeometry)
+    {
+        lidVelocity_ = getParam<Scalar>("Problem.LidVelocity");
+    }
+```
+
+#### Temperature distribution
+We need to specify a constant temperature for our isothermal problem.
+Fluid properties that depend on temperature will be calculated with this value.
+This would be important if another fluidsystem was used.
+
+```cpp
+    Scalar temperature() const
+    { return 273.15 + 10; } // 10°C
+```
+
+#### Boundary conditions
+With the following function we define the __type of boundary conditions__ depending on the location.
+Three types of boundary conditions can be specified: Dirichlet, Neumann or outflow boundary conditions. On
+Dirichlet boundaries, the values of the primary variables need to be fixed. On a Neumann boundaries,
+values for derivatives need to be fixed. Outflow conditions set a gradient of zero in normal direction towards the boundary
+for the respective primary variables (excluding pressure).
+When Dirichlet conditions are set for the pressure, the velocity gradient
+with respect to the direction normal to the boundary is automatically set to zero.
+
+```cpp
+    BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+    {
+        BoundaryTypes values;
+
+        // We set Dirichlet values for the velocity at each boundary
+        values.setDirichlet(Indices::velocityXIdx);
+        values.setDirichlet(Indices::velocityYIdx);
+
+        return values;
+    }
+```
+
+We define a function for setting a fixed Dirichlet pressure value at a given internal cell.
+This is required for having a defined pressure level in our closed system domain.
+
+```cpp
+    bool isDirichletCell(const Element& element,
+                         const FVElementGeometry& fvGeometry,
+                         const SubControlVolume& scv,
+                         int pvIdx) const
+    {
+        auto isLowerLeftCell = [&](const SubControlVolume& scv)
+        { return scv.dofIndex() == 0; };
+```
+
+We set a fixed pressure in one cell
+
+```cpp
+        return (isLowerLeftCell(scv) && pvIdx == Indices::pressureIdx);
+    }
+```
+
+The following function specifies the __values on Dirichlet boundaries__.
+We need to define values for the primary variables (velocity and pressure).
+
+```cpp
+    PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+    {
+        PrimaryVariables values;
+        values[Indices::pressureIdx] = 1.1e+5;
+        values[Indices::velocityXIdx] = 0.0;
+        values[Indices::velocityYIdx] = 0.0;
+
+        // We set the no slip-condition at the top, that means the fluid has the same velocity as the lid
+        if (globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_)
+            values[Indices::velocityXIdx] = lidVelocity_;
+
+        return values;
+    }
+```
+
+The following function defines the initial conditions.
+
+```cpp
+    PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+    {
+        PrimaryVariables values;
+        values[Indices::pressureIdx] = 1.0e+5;
+        values[Indices::velocityXIdx] = 0.0;
+        values[Indices::velocityYIdx] = 0.0;
+
+        return values;
+    }
+```
+
+the data members of the problem class
+
+```cpp
+private:
+    static constexpr Scalar eps_ = 1e-6;
+    Scalar lidVelocity_;
+};
+
+} // end namespace Dumux
+```
+
+
+</details>
+
+
+
+## The main file (`main.cc`)
+
+<details open>
+<summary><b>Click to hide/show the file documentation</b> (or inspect the [source code](../main.cc))</summary>
+
+
+### Included header files
+<details><summary> Click to show includes</summary>
+These is DUNE helper class related to parallel computation
+
+```cpp
+#include <dune/common/parallel/mpihelper.hh>
+```
+
+The following headers include functionality related to property definition or retrieval, as well as
+the retrieval of input parameters specified in the input file or via the command line.
+
+```cpp
+#include <dumux/common/parameters.hh>
+#include <dumux/common/properties.hh>
+```
+
+The following files contain the non-linear Newton solver, the available linear solver backends and the assembler for the linear
+systems arising from the staggered-grid discretization.
+
+```cpp
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/nonlinear/newtonsolver.hh>
+#include <dumux/assembly/staggeredfvassembler.hh>
+```
+
+The gridmanager constructs a grid from the information in the input or grid file.
+Many different Dune grid implementations are supported, of which a list can be found
+in `gridmanager.hh`.
+
+```cpp
+#include <dumux/io/grid/gridmanager_yasp.hh>
+```
+
+This class contains functionality for VTK output for models using the staggered finite volume scheme.
+
+```cpp
+#include <dumux/io/staggeredvtkoutputmodule.hh>
+```
+
+We include the problem header used for this simulation.
+
+```cpp
+#include "properties.hh"
+```
+
+</details>
+
+The following function writes the velocities and coordinates at x = 0.5 and y = 0.5 into a log file.
+
+```cpp
+template<class Problem, class SolutionVector, class GridGeometry>
+void writeSteadyVelocityAndCoordinates(const Problem& problem, const SolutionVector &sol, const GridGeometry gridGeometry)
+{
+    std::ofstream logFilevx(problem->name() + "_vx.log"), logFilevy(problem->name() + "_vy.log");
+    logFilevx << "y vx\n";
+    logFilevy << "x vy\n";
+
+    static constexpr double eps_ = 1.0e-7;
+    for (const auto& element : elements(gridGeometry->gridView()))
+    {
+        auto fvGeometry = localView(*gridGeometry);
+        fvGeometry.bind(element);
+        for (const auto& scvf : scvfs(fvGeometry))
+        {
+            if (!scvf.boundary() && scvf.insideScvIdx() > scvf.outsideScvIdx())
+            {
+                const auto& globalPos = scvf.ipGlobal();
+                const auto velocity = sol[gridGeometry->faceIdx()][scvf.dofIndex()][0];
+
+                if (std::abs(globalPos[0]-0.5) < eps_)
+                    logFilevx << globalPos[1] << " " << velocity << "\n";
+                else if (std::abs(globalPos[1]-0.5) < eps_)
+                    logFilevy << globalPos[0] << " " << velocity << "\n";
+            }
+        }
+    }
+}
+```
+
+### The main function
+We will now discuss the main program flow implemented within the `main` function.
+At the beginning of each program using Dune, an instance of `Dune::MPIHelper` has to
+be created. Moreover, we parse the run-time arguments from the command line and the
+input file:
+
+```cpp
+int main(int argc, char** argv)
+{
+    using namespace Dumux;
+
+    // The Dune MPIHelper must be instantiated for each program using Dune, it is finalized automatically on exit
+    const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv);
+
+    // parse command line arguments and input file
+    Parameters::init(argc, argv);
+```
+
+We define a convenience alias for the type tag of the problem. The type
+tag contains all the properties that are needed to define the model and the problem
+setup. Throughout the main file, we will obtain types defined for this type tag
+using the property system, i.e. with `GetPropType`.
+
+```cpp
+    using TypeTag = Properties::TTag::LidDrivenCavityExample;
+```
+
+#### Step 1: Create the grid
+The `GridManager` class creates the grid from information given in the input file.
+This can either be a grid file, or in the case of structured grids, one can specify the coordinates
+of the corners of the grid and the number of cells to be used to discretize each spatial direction.
+
+```cpp
+    GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager;
+    gridManager.init();
+
+    // We compute on the leaf grid view.
+    const auto& leafGridView = gridManager.grid().leafGridView();
+```
+
+#### Step 2: Setting up and solving the problem
+First, a finite volume grid geometry is constructed from the grid that was created above.
+This builds the sub-control volumes (scv) and sub-control volume faces (scvf) for each element
+of the grid partition.
+
+```cpp
+    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
+    auto gridGeometry = std::make_shared<GridGeometry>(leafGridView);
+    gridGeometry->update();
+```
+
+We now instantiate the problem, in which we define the boundary and initial conditions.
+
+```cpp
+    using Problem = GetPropType<TypeTag, Properties::Problem>;
+    auto problem = std::make_shared<Problem>(gridGeometry);
+```
+
+We set a solution vector which consist of two parts: one part (indexed by `cellCenterIdx`)
+is for the pressure degrees of freedom (`dofs`) living in grid cell centers. Another part
+(indexed by `faceIdx`) is for degrees of freedom defining the normal velocities on grid cell faces.
+We initialize the solution vector by what was defined as the initial solution of the the problem.
+
+```cpp
+    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
+    SolutionVector x;
+    x[GridGeometry::cellCenterIdx()].resize(gridGeometry->numCellCenterDofs());
+    x[GridGeometry::faceIdx()].resize(gridGeometry->numFaceDofs());
+    problem->applyInitialSolution(x);
+    auto xOld = x;
+```
+
+We use the initial solution vector to intialize the `gridVariables`.
+The grid variables are used store variables (primary and secondary variables) on sub-control volumes and faces (volume and flux variables).
+
+```cpp
+    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
+    auto gridVariables = std::make_shared<GridVariables>(problem, gridGeometry);
+    gridVariables->init(x);
+```
+
+We get some time loop parameters from the input file
+and instantiate the time loop
+
+```cpp
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
+    const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
+    const auto dt = getParam<Scalar>("TimeLoop.DtInitial");
+
+    auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0, dt, tEnd);
+    timeLoop->setMaxTimeStepSize(maxDt);
+```
+
+We then initialize the predefined model-specific output vtk output.
+
+```cpp
+    using IOFields = GetPropType<TypeTag, Properties::IOFields>;
+    StaggeredVtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name());
+    IOFields::initOutputModule(vtkWriter); // Add model specific output fields
+    vtkWriter.write(0.0);
+```
+
+To solve the non-linear problem at hand, we use the `NewtonSolver`,
+which we have to tell how to assemble and solve the system in each
+iteration. Here, we use the direct linear solver UMFPack.
+
+```cpp
+    using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>;
+    auto assembler = std::make_shared<Assembler>(problem, gridGeometry, gridVariables, timeLoop, xOld);
+
+    using LinearSolver = Dumux::UMFPackBackend;
+    auto linearSolver = std::make_shared<LinearSolver>();
+
+    using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
+```
+
+##### The time loop
+In each time step, we solve the non-linear system of equations, write
+the current solution into .vtk files and prepare for the next time step.
+
+```cpp
+    timeLoop->start(); do
+    {
+        // We solve the non-linear system with time step control.
+        nonLinearSolver.solve(x, *timeLoop);
+
+        // We make the new solution the old solution.
+        xOld = x;
+        gridVariables->advanceTimeStep();
+
+        // We advance to the time loop to the next step.
+        timeLoop->advanceTimeStep();
+
+        // We write vtk output for each time step.
+        vtkWriter.write(timeLoop->time());
+
+        // We report statistics of this time step.
+        timeLoop->reportTimeStep();
+
+        // We set a new dt as suggested by the newton solver for the next time step.
+        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
+
+    } while (!timeLoop->finished());
+```
+
+We write the velocities and coordinates at x = 0.5 and y = 0.5 into a file
+
+```cpp
+    writeSteadyVelocityAndCoordinates(problem, x, gridGeometry);
+```
+
+The following piece of code prints a final status report of the time loop
+before the program is terminated.
+
+```cpp
+    timeLoop->finalize(leafGridView.comm());
+
+    // print used and unused parameters
+    if (mpiHelper.rank() == 0)
+        Parameters::print();
+
+    return 0;
+} // end main
+```
+
+
+</details>
+
+
+| [:arrow_left: Back to the main documentation](../README.md) | [:arrow_right: Continue with part 2](postprocessing.md) |
+|---|---:|
+
diff --git a/examples/liddrivencavity/doc/problem_intro.md b/examples/liddrivencavity/doc/problem_intro.md
new file mode 100644
index 0000000000000000000000000000000000000000..6ff6d9b269baf68ba6cd3aa4f6e5909f5d5d2ae4
--- /dev/null
+++ b/examples/liddrivencavity/doc/problem_intro.md
@@ -0,0 +1,5 @@
+# Part 1: Implementation
+
+The implementation of simulation setup and main flow is structured as follows:
+
+[[_TOC_]]
diff --git a/examples/liddrivencavity/img/lidverification.png b/examples/liddrivencavity/img/lidverification.png
new file mode 100644
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index 0000000000000000000000000000000000000000..3640f745a4e57539a42c93343506f282e615851b
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diff --git a/examples/liddrivencavity/img/setup.png b/examples/liddrivencavity/img/setup.png
new file mode 100644
index 0000000000000000000000000000000000000000..220b9ee0877bea3ca48f0f4c77e93c36fb0feddb
Binary files /dev/null and b/examples/liddrivencavity/img/setup.png differ
diff --git a/examples/liddrivencavity/main.cc b/examples/liddrivencavity/main.cc
new file mode 100644
index 0000000000000000000000000000000000000000..d8c88134d8293980af9fce9ff33c91e1a519e09b
--- /dev/null
+++ b/examples/liddrivencavity/main.cc
@@ -0,0 +1,223 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   See the file COPYING for full copying permissions.                      *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 3 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+
+ // ## The main file (`main.cc`)
+ // [[content]]
+ //
+ // ### Included header files
+ // [[details]] includes
+ // [[exclude]]
+ // Some generic includes.
+#include <config.h>
+#include <iostream>
+// [[/exclude]]
+
+// These is DUNE helper class related to parallel computation
+#include <dune/common/parallel/mpihelper.hh>
+
+// The following headers include functionality related to property definition or retrieval, as well as
+// the retrieval of input parameters specified in the input file or via the command line.
+#include <dumux/common/parameters.hh>
+#include <dumux/common/properties.hh>
+
+// The following files contain the non-linear Newton solver, the available linear solver backends and the assembler for the linear
+// systems arising from the staggered-grid discretization.
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/nonlinear/newtonsolver.hh>
+#include <dumux/assembly/staggeredfvassembler.hh>
+
+// The gridmanager constructs a grid from the information in the input or grid file.
+// Many different Dune grid implementations are supported, of which a list can be found
+// in `gridmanager.hh`.
+#include <dumux/io/grid/gridmanager_yasp.hh>
+
+// This class contains functionality for VTK output for models using the staggered finite volume scheme.
+#include <dumux/io/staggeredvtkoutputmodule.hh>
+
+// We include the problem header used for this simulation.
+#include "properties.hh"
+// [[/details]]
+//
+// The following function writes the velocities and coordinates at x = 0.5 and y = 0.5 into a log file.
+// [[codeblock]]
+template<class Problem, class SolutionVector, class GridGeometry>
+void writeSteadyVelocityAndCoordinates(const Problem& problem, const SolutionVector &sol, const GridGeometry gridGeometry)
+{
+    std::ofstream logFilevx(problem->name() + "_vx.log"), logFilevy(problem->name() + "_vy.log");
+    logFilevx << "y vx\n";
+    logFilevy << "x vy\n";
+
+    static constexpr double eps_ = 1.0e-7;
+    for (const auto& element : elements(gridGeometry->gridView()))
+    {
+        auto fvGeometry = localView(*gridGeometry);
+        fvGeometry.bind(element);
+        for (const auto& scvf : scvfs(fvGeometry))
+        {
+            if (!scvf.boundary() && scvf.insideScvIdx() > scvf.outsideScvIdx())
+            {
+                const auto& globalPos = scvf.ipGlobal();
+                const auto velocity = sol[gridGeometry->faceIdx()][scvf.dofIndex()][0];
+
+                if (std::abs(globalPos[0]-0.5) < eps_)
+                    logFilevx << globalPos[1] << " " << velocity << "\n";
+                else if (std::abs(globalPos[1]-0.5) < eps_)
+                    logFilevy << globalPos[0] << " " << velocity << "\n";
+            }
+        }
+    }
+}
+// [[/codeblock]]
+
+// ### The main function
+// We will now discuss the main program flow implemented within the `main` function.
+// At the beginning of each program using Dune, an instance of `Dune::MPIHelper` has to
+// be created. Moreover, we parse the run-time arguments from the command line and the
+// input file:
+// [[codeblock]]
+int main(int argc, char** argv)
+{
+    using namespace Dumux;
+
+    // The Dune MPIHelper must be instantiated for each program using Dune, it is finalized automatically on exit
+    const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv);
+
+    // parse command line arguments and input file
+    Parameters::init(argc, argv);
+    // [[/codeblock]]
+
+    // We define a convenience alias for the type tag of the problem. The type
+    // tag contains all the properties that are needed to define the model and the problem
+    // setup. Throughout the main file, we will obtain types defined for this type tag
+    // using the property system, i.e. with `GetPropType`.
+    using TypeTag = Properties::TTag::LidDrivenCavityExample;
+
+    // #### Step 1: Create the grid
+    // The `GridManager` class creates the grid from information given in the input file.
+    // This can either be a grid file, or in the case of structured grids, one can specify the coordinates
+    // of the corners of the grid and the number of cells to be used to discretize each spatial direction.
+    // [[codeblock]]
+    GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager;
+    gridManager.init();
+
+    // We compute on the leaf grid view.
+    const auto& leafGridView = gridManager.grid().leafGridView();
+    // [[/codeblock]]
+
+    // #### Step 2: Setting up and solving the problem
+    // First, a finite volume grid geometry is constructed from the grid that was created above.
+    // This builds the sub-control volumes (scv) and sub-control volume faces (scvf) for each element
+    // of the grid partition.
+    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
+    auto gridGeometry = std::make_shared<GridGeometry>(leafGridView);
+    gridGeometry->update();
+
+    // We now instantiate the problem, in which we define the boundary and initial conditions.
+    using Problem = GetPropType<TypeTag, Properties::Problem>;
+    auto problem = std::make_shared<Problem>(gridGeometry);
+
+    // We set a solution vector which consist of two parts: one part (indexed by `cellCenterIdx`)
+    // is for the pressure degrees of freedom (`dofs`) living in grid cell centers. Another part
+    // (indexed by `faceIdx`) is for degrees of freedom defining the normal velocities on grid cell faces.
+    // We initialize the solution vector by what was defined as the initial solution of the the problem.
+    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
+    SolutionVector x;
+    x[GridGeometry::cellCenterIdx()].resize(gridGeometry->numCellCenterDofs());
+    x[GridGeometry::faceIdx()].resize(gridGeometry->numFaceDofs());
+    problem->applyInitialSolution(x);
+    auto xOld = x;
+
+    // We use the initial solution vector to intialize the `gridVariables`.
+    // The grid variables are used store variables (primary and secondary variables) on sub-control volumes and faces (volume and flux variables).
+    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
+    auto gridVariables = std::make_shared<GridVariables>(problem, gridGeometry);
+    gridVariables->init(x);
+
+    // We get some time loop parameters from the input file
+    // and instantiate the time loop
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
+    const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
+    const auto dt = getParam<Scalar>("TimeLoop.DtInitial");
+
+    auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0, dt, tEnd);
+    timeLoop->setMaxTimeStepSize(maxDt);
+
+    // We then initialize the predefined model-specific output vtk output.
+    using IOFields = GetPropType<TypeTag, Properties::IOFields>;
+    StaggeredVtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name());
+    IOFields::initOutputModule(vtkWriter); // Add model specific output fields
+    vtkWriter.write(0.0);
+
+    // To solve the non-linear problem at hand, we use the `NewtonSolver`,
+    // which we have to tell how to assemble and solve the system in each
+    // iteration. Here, we use the direct linear solver UMFPack.
+    using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>;
+    auto assembler = std::make_shared<Assembler>(problem, gridGeometry, gridVariables, timeLoop, xOld);
+
+    using LinearSolver = Dumux::UMFPackBackend;
+    auto linearSolver = std::make_shared<LinearSolver>();
+
+    using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
+
+    // ##### The time loop
+    // In each time step, we solve the non-linear system of equations, write
+    // the current solution into .vtk files and prepare for the next time step.
+    // [[codeblock]]
+    timeLoop->start(); do
+    {
+        // We solve the non-linear system with time step control.
+        nonLinearSolver.solve(x, *timeLoop);
+
+        // We make the new solution the old solution.
+        xOld = x;
+        gridVariables->advanceTimeStep();
+
+        // We advance to the time loop to the next step.
+        timeLoop->advanceTimeStep();
+
+        // We write vtk output for each time step.
+        vtkWriter.write(timeLoop->time());
+
+        // We report statistics of this time step.
+        timeLoop->reportTimeStep();
+
+        // We set a new dt as suggested by the newton solver for the next time step.
+        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
+
+    } while (!timeLoop->finished());
+    // [[/codeblock]]
+
+    // We write the velocities and coordinates at x = 0.5 and y = 0.5 into a file
+    writeSteadyVelocityAndCoordinates(problem, x, gridGeometry);
+
+    // The following piece of code prints a final status report of the time loop
+    // before the program is terminated.
+     // [[codeblock]]
+    timeLoop->finalize(leafGridView.comm());
+
+    // print used and unused parameters
+    if (mpiHelper.rank() == 0)
+        Parameters::print();
+
+    return 0;
+} // end main
+// [[/codeblock]]
+// [[/content]]
diff --git a/test/freeflow/navierstokes/closedsystem/params_re1.input b/examples/liddrivencavity/params_re1.input
similarity index 68%
rename from test/freeflow/navierstokes/closedsystem/params_re1.input
rename to examples/liddrivencavity/params_re1.input
index 286d9c374e40237b2e67f79d3cde4ad00d40d5e8..3dc7e70ec11dfa4de89dc4cfebf077afd3ad940e 100644
--- a/test/freeflow/navierstokes/closedsystem/params_re1.input
+++ b/examples/liddrivencavity/params_re1.input
@@ -4,10 +4,10 @@ TEnd = 2 # [s]
 
 [Grid]
 UpperRight = 1 1
-Cells = 64 64
+Cells = 128 128
 
 [Problem]
-Name = test_liddrivencavity_re1 # name passed to the output routines
+Name = example_ff_liddrivencavity_re1
 LidVelocity = 1
 EnableGravity = false
 
@@ -15,7 +15,10 @@ EnableGravity = false
 LiquidDensity = 1
 LiquidKinematicViscosity = 1
 
-[ Newton ]
+[Assembly]
+NumericDifference.BaseEpsilon = 1e-8
+
+[Newton]
 MaxSteps = 10
 MaxRelativeShift = 1e-5
 
diff --git a/test/freeflow/navierstokes/closedsystem/params_re1000.input b/examples/liddrivencavity/params_re1000.input
similarity index 53%
rename from test/freeflow/navierstokes/closedsystem/params_re1000.input
rename to examples/liddrivencavity/params_re1000.input
index e7f2090e6735df3f6c811ad383c8e455e16a13be..db3ae0533e7add8d4d6635098bedbedeb6a0f27e 100644
--- a/test/freeflow/navierstokes/closedsystem/params_re1000.input
+++ b/examples/liddrivencavity/params_re1000.input
@@ -1,15 +1,13 @@
-# Increase the number of cells and the time to reach equilibrium
-# to match the results of Ghia et al. (1982) for Re = 1000
 [TimeLoop]
 DtInitial = 2 # [s]
-TEnd = 50 # [s] set to 200 for reproducing Ghia et al. (1982)
+TEnd = 200 # [s]
 
 [Grid]
 UpperRight = 1 1
-Cells = 64 64 # set to 128 128 for reproducing Ghia et al. (1982)
+Cells = 128 128
 
 [Problem]
-Name = test_liddrivencavity_re1000 # name passed to the output routines
+Name = example_ff_liddrivencavity_re1000
 LidVelocity = 1
 EnableGravity = false
 
diff --git a/test/freeflow/navierstokes/closedsystem/problem.hh b/examples/liddrivencavity/problem.hh
similarity index 51%
rename from test/freeflow/navierstokes/closedsystem/problem.hh
rename to examples/liddrivencavity/problem.hh
index c470cfa91ece200a819477fc2797eb98ed97e654..8967dfc47ac0285c8a7cda8bde3594c086a6312e 100644
--- a/test/freeflow/navierstokes/closedsystem/problem.hh
+++ b/examples/liddrivencavity/problem.hh
@@ -16,74 +16,36 @@
  *   You should have received a copy of the GNU General Public License       *
  *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
  *****************************************************************************/
-/*!
- * \file
- * \ingroup NavierStokesTests
- * \brief A test problem for the staggered (Navier-) Stokes model.
- */
 
-#ifndef DUMUX_CLOSEDSYSTEM_TEST_PROBLEM_HH
-#define DUMUX_CLOSEDSYSTEM_TEST_PROBLEM_HH
-
-#include <dune/grid/yaspgrid.hh>
-
-#include <dumux/discretization/staggered/freeflow/properties.hh>
-
-#include <dumux/freeflow/navierstokes/boundarytypes.hh>
-#include <dumux/freeflow/navierstokes/model.hh>
+#ifndef DUMUX_LIDDRIVENCAVITY_EXAMPLE_PROBLEM_HH
+#define DUMUX_LIDDRIVENCAVITY_EXAMPLE_PROBLEM_HH
+
+// ## Initial and boundary conditions (`problem.hh`)
+//
+// This file contains the __problem class__ which defines the initial and boundary
+// conditions for the Navier-Stokes single-phase flow simulation.
+//
+// [[content]]
+//
+// ### Include files
+//
+#include <dumux/common/properties.hh>
+#include <dumux/common/parameters.hh>
+
+// Include the `NavierStokesProblem` class, the base
+// class from which we will derive.
 #include <dumux/freeflow/navierstokes/problem.hh>
 
-#include <dumux/material/components/constant.hh>
-#include <dumux/material/fluidsystems/1pliquid.hh>
-
-#include "../l2error.hh"
+// Include the `NavierStokesBoundaryTypes` class which specifies the boundary types set in this problem.
+#include <dumux/freeflow/navierstokes/boundarytypes.hh>
 
+// ### The problem class
+// As we are solving a problem related to free flow, we create a new class called `LidDrivenCavityExampleProblem`
+// and let it inherit from the class `NavierStokesProblem`.
+// [[codeblock]]
 namespace Dumux {
 template <class TypeTag>
-class ClosedSystemTestProblem;
-
-namespace Properties {
-// Create new type tags
-namespace TTag {
-struct ClosedSystemTest { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
-} // end namespace TTag
-
-// the fluid system
-template<class TypeTag>
-struct FluidSystem<TypeTag, TTag::ClosedSystemTest>
-{
-    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
-    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
-};
-
-// Set the grid type
-template<class TypeTag>
-struct Grid<TypeTag, TTag::ClosedSystemTest> { using type = Dune::YaspGrid<2>; };
-
-// Set the problem property
-template<class TypeTag>
-struct Problem<TypeTag, TTag::ClosedSystemTest> { using type = Dumux::ClosedSystemTestProblem<TypeTag> ; };
-
-template<class TypeTag>
-struct EnableGridGeometryCache<TypeTag, TTag::ClosedSystemTest> { static constexpr bool value = true; };
-
-template<class TypeTag>
-struct EnableGridFluxVariablesCache<TypeTag, TTag::ClosedSystemTest> { static constexpr bool value = true; };
-template<class TypeTag>
-struct EnableGridVolumeVariablesCache<TypeTag, TTag::ClosedSystemTest> { static constexpr bool value = true; };
-} // end namespace Properties
-
-/*!
- * \ingroup NavierStokesTests
- * \brief Test problem for the one-phase (Navier-) Stokes model.
- *
- * Here, a quadratic two-dimensional domain with closed walls at all sides is considered.
- * If all walls are immobile and gravity is switched on, a hydrostatic pressure
- * gradient will develop. When assigning a fixed velocity to the top wall (without gravity),
- * this test corresponds to a lid-driven cavity problem.
- */
-template <class TypeTag>
-class ClosedSystemTestProblem : public NavierStokesProblem<TypeTag>
+class LidDrivenCavityExampleProblem : public NavierStokesProblem<TypeTag>
 {
     using ParentType = NavierStokesProblem<TypeTag>;
 
@@ -96,61 +58,48 @@ class ClosedSystemTestProblem : public NavierStokesProblem<TypeTag>
     using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
     using Scalar = GetPropType<TypeTag, Properties::Scalar>;
 
-    static constexpr auto dimWorld = GridGeometry::GridView::dimensionworld;
     using Element = typename GridGeometry::GridView::template Codim<0>::Entity;
     using GlobalPosition = typename Element::Geometry::GlobalCoordinate;
 
 public:
-    ClosedSystemTestProblem(std::shared_ptr<const GridGeometry> gridGeometry)
+    // Within the constructor, we set the lid velocity to a run-time specified value.
+    LidDrivenCavityExampleProblem(std::shared_ptr<const GridGeometry> gridGeometry)
     : ParentType(gridGeometry)
     {
         lidVelocity_ = getParam<Scalar>("Problem.LidVelocity");
     }
+    // [[/codeblock]]
 
-   /*!
-     * \name Problem parameters
-     */
-    // \{
-
-   /*!
-     * \brief Returns the temperature within the domain in [K].
-     *
-     * This problem assumes a temperature of 10 degrees Celsius.
-     */
+    // #### Temperature distribution
+    // We need to specify a constant temperature for our isothermal problem.
+    // Fluid properties that depend on temperature will be calculated with this value.
+    // This would be important if another fluidsystem was used.
     Scalar temperature() const
-    { return 273.15 + 10; } // 10C
-
-    // \}
-   /*!
-     * \name Boundary conditions
-     */
-    // \{
-
-   /*!
-     * \brief Specifies which kind of boundary condition should be
-     *        used for which equation on a given boundary control volume.
-     *
-     * \param globalPos The position of the center of the finite volume
-     */
+    { return 273.15 + 10; } // 10°C
+
+    // #### Boundary conditions
+    // With the following function we define the __type of boundary conditions__ depending on the location.
+    // Three types of boundary conditions can be specified: Dirichlet, Neumann or outflow boundary conditions. On
+    // Dirichlet boundaries, the values of the primary variables need to be fixed. On a Neumann boundaries,
+    // values for derivatives need to be fixed. Outflow conditions set a gradient of zero in normal direction towards the boundary
+    // for the respective primary variables (excluding pressure).
+    // When Dirichlet conditions are set for the pressure, the velocity gradient
+    // with respect to the direction normal to the boundary is automatically set to zero.
+    // [[codeblock]]
     BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
     {
         BoundaryTypes values;
 
-        // set Dirichlet values for the velocity everywhere
+        // We set Dirichlet values for the velocity at each boundary
         values.setDirichlet(Indices::velocityXIdx);
         values.setDirichlet(Indices::velocityYIdx);
 
         return values;
     }
+    // [[/codeblock]]
 
-    /*!
-     * \brief Returns whether a fixed Dirichlet value shall be used at a given cell.
-     *
-     * \param element The finite element
-     * \param fvGeometry The finite-volume geometry
-     * \param scv The sub control volume
-     * \param pvIdx The primary variable index in the solution vector
-     */
+    // We define a function for setting a fixed Dirichlet pressure value at a given internal cell.
+    // This is required for having a defined pressure level in our closed system domain.
     bool isDirichletCell(const Element& element,
                          const FVElementGeometry& fvGeometry,
                          const SubControlVolume& scv,
@@ -159,15 +108,13 @@ public:
         auto isLowerLeftCell = [&](const SubControlVolume& scv)
         { return scv.dofIndex() == 0; };
 
-        // set a fixed pressure in one cell
+        // We set a fixed pressure in one cell
         return (isLowerLeftCell(scv) && pvIdx == Indices::pressureIdx);
     }
 
-   /*!
-     * \brief Returns Dirichlet boundary values at a given position.
-     *
-     * \param globalPos The global position
-     */
+    // The following function specifies the __values on Dirichlet boundaries__.
+    // We need to define values for the primary variables (velocity and pressure).
+    // [[codeblock]]
     PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
     {
         PrimaryVariables values;
@@ -175,17 +122,16 @@ public:
         values[Indices::velocityXIdx] = 0.0;
         values[Indices::velocityYIdx] = 0.0;
 
-        if(globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_)
+        // We set the no slip-condition at the top, that means the fluid has the same velocity as the lid
+        if (globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_)
             values[Indices::velocityXIdx] = lidVelocity_;
 
         return values;
     }
+    // [[/codeblock]]
 
-   /*!
-     * \brief Evaluates the initial value for a control volume.
-     *
-     * \param globalPos The global position
-     */
+    // The following function defines the initial conditions.
+    // [[codeblock]]
     PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
     {
         PrimaryVariables values;
@@ -195,14 +141,15 @@ public:
 
         return values;
     }
-
-    // \}
-
+    // [[/codeblock]]
+    // the data members of the problem class
+    // [[codeblock]]
 private:
-
-    static constexpr Scalar eps_=1e-6;
+    static constexpr Scalar eps_ = 1e-6;
     Scalar lidVelocity_;
 };
-} // end namespace Dumux
 
+} // end namespace Dumux
+// [[/codeblock]]
+// [[/content]]
 #endif
diff --git a/examples/liddrivencavity/properties.hh b/examples/liddrivencavity/properties.hh
new file mode 100644
index 0000000000000000000000000000000000000000..49956773decf8b725615519a94a4af7e80e59170
--- /dev/null
+++ b/examples/liddrivencavity/properties.hh
@@ -0,0 +1,116 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ *   See the file COPYING for full copying permissions.                      *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 3 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+
+#ifndef DUMUX_LIDDRIVENCAVITY_EXAMPLE_PROPERTIES_HH
+#define DUMUX_LIDDRIVENCAVITY_EXAMPLE_PROPERTIES_HH
+
+// ## Compile-time settings (`properties.hh`)
+//
+// In this file, the type tag used for this simulation is defined,
+// for which we then specialize properties (compile time options) to the needs of the desired setup.
+//
+// [[content]]
+//
+// ### Includes
+// [[details]] includes
+//
+// The `NavierStokes` type tag specializes most of the properties required for Navier-
+// Stokes single-phase flow simulations in DuMuX. We will use this in the following to inherit the
+// respective properties and subsequently specialize those properties for our
+// type tag, which we want to modify or for which no meaningful default can be set.
+#include <dumux/freeflow/navierstokes/model.hh>
+
+// We want to use `YaspGrid`, an implementation of the dune grid interface for structured grids:
+#include <dune/grid/yaspgrid.hh>
+
+// In this example, we want to discretize the equations with the staggered-grid
+// scheme which is so far the only available option for free-flow models in DuMux:
+#include <dumux/discretization/staggered/freeflow/properties.hh>
+
+// The fluid properties are specified in the following headers (we use a liquid with constant properties as the fluid phase):
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/1pliquid.hh>
+
+// We include the problem header used for this simulation.
+#include "problem.hh"
+// [[/details]]
+//
+// ### Type tag definition
+//
+// We define a type tag for our simulation with the name `LidDrivenCavityExample`
+// and inherit the properties specialized for the type tags `NavierStokes` and `StaggeredFreeFlowModel`.
+// [[codeblock]]
+
+namespace Dumux::Properties {
+
+// We define the `LidDrivenCavityExample` type tag and let it inherit from the single-phase `NavierStokes`
+// tag (model) and the `StaggeredFreeFlowModel` (discretization scheme).
+namespace TTag {
+struct LidDrivenCavityExample { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
+} // end namespace TTag
+// [[/codeblock]]
+
+// ### Property specializations
+//
+// In the following piece of code, mandatory properties for which no meaningful
+// default exist are specialized for our type tag `LidDrivenCavityExample`.
+// [[codeblock]]
+// This sets the fluid system to be used. Here, we use a liquid with constant properties as fluid phase.
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::LidDrivenCavityExample>
+{
+    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+    using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >;
+};
+
+// This sets the grid type used for the simulation. Here, we use a structured 2D grid.
+template<class TypeTag>
+struct Grid<TypeTag, TTag::LidDrivenCavityExample> { using type = Dune::YaspGrid<2>; };
+
+// This sets our problem class (see problem.hh) containing initial and boundary conditions.
+template<class TypeTag>
+struct Problem<TypeTag, TTag::LidDrivenCavityExample> { using type = Dumux::LidDrivenCavityExampleProblem<TypeTag> ; };
+// [[/codeblock]]
+
+// We also set some properties related to memory management
+// throughout the simulation.
+// [[details]] caching properties
+//
+// In Dumux, one has the option to activate/deactivate the grid-wide caching of
+// geometries and variables. If active, the CPU time can be significantly reduced
+// as less dynamic memory allocation procedures are necessary. Per default, grid-wide
+// caching is disabled to ensure minimal memory requirements, however, in this example we
+// want to active all available caches, which significantly increases the memory
+// demand but makes the simulation faster.
+//
+// [[codeblock]]
+// This enables grid-wide caching of the volume variables.
+template<class TypeTag>
+struct EnableGridGeometryCache<TypeTag, TTag::LidDrivenCavityExample> { static constexpr bool value = true; };
+//This enables grid wide caching for the flux variables.
+template<class TypeTag>
+struct EnableGridFluxVariablesCache<TypeTag, TTag::LidDrivenCavityExample> { static constexpr bool value = true; };
+// This enables grid-wide caching for the finite volume grid geometry
+template<class TypeTag>
+struct EnableGridVolumeVariablesCache<TypeTag, TTag::LidDrivenCavityExample> { static constexpr bool value = true; };
+} // end namespace Dumux::Properties
+// [[/codeblock]]
+// [[/details]]
+// [[/content]]
+#endif
diff --git a/examples/liddrivencavity/reference_data/CMakeLists.txt b/examples/liddrivencavity/reference_data/CMakeLists.txt
new file mode 100644
index 0000000000000000000000000000000000000000..17622e6865167abb74c2933b5f9686fc0109f812
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/CMakeLists.txt
@@ -0,0 +1 @@
+dune_symlink_to_source_files(FILES "ghia_x.csv" "ghia_y.csv" "v_x_exp.csv" "v_y_exp.csv" "v_x_num.csv" "v_y_num.csv")
diff --git a/examples/liddrivencavity/reference_data/ghia_x.csv b/examples/liddrivencavity/reference_data/ghia_x.csv
new file mode 100644
index 0000000000000000000000000000000000000000..3a3c3e65bb8e04bbde4425f1bb1cf4b21b126db1
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/ghia_x.csv
@@ -0,0 +1,17 @@
+-0.00010938446379027411; 0
+-0.1820862600457428; 0.054771784232365395
+-0.20279065983239786; 0.061410788381742965
+-0.2224084470118155; 0.0705394190871369
+-0.29760438984261306; 0.10041493775933619
+-0.38373787504859047; 0.1709543568464733
+-0.278192715537114; 0.28049792531120354
+-0.10626655457019163; 0.4522821576763487
+-0.06165486941664644; 0.4987551867219918
+0.0547744962438641; 0.6165975103734441
+0.18645440656668377; 0.7344398340248964
+0.33120802032200647; 0.8506224066390042
+0.4650837559551253; 0.9526970954356848
+0.50973792928882; 0.9601659751037346
+0.5729106211410337; 0.9676348547717843
+0.6567795767454052; 0.9759336099585064
+0.9998906155362097; 1.0000000000000002
diff --git a/examples/liddrivencavity/reference_data/ghia_y.csv b/examples/liddrivencavity/reference_data/ghia_y.csv
new file mode 100644
index 0000000000000000000000000000000000000000..a49bab824920c55ad8a5c33ccc719a1aec3319fe
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/ghia_y.csv
@@ -0,0 +1,17 @@
+-0.0007610350076103778; 0.00008363723657478506
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+0.9687975646879756; -0.21302914917307625
+1; 0.0009232018632591155
diff --git a/examples/liddrivencavity/reference_data/v_x_exp.csv b/examples/liddrivencavity/reference_data/v_x_exp.csv
new file mode 100644
index 0000000000000000000000000000000000000000..eda24b0ef1349d6e0d116c1624c71cc6afb8acb6
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/v_x_exp.csv
@@ -0,0 +1,9 @@
+-0.05433195591586759; -0.7961987748537152
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diff --git a/examples/liddrivencavity/reference_data/v_x_num.csv b/examples/liddrivencavity/reference_data/v_x_num.csv
new file mode 100644
index 0000000000000000000000000000000000000000..6472932dfe9edc7be74f99abdd314eada190b614
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/v_x_num.csv
@@ -0,0 +1,150 @@
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diff --git a/examples/liddrivencavity/reference_data/v_y_exp.csv b/examples/liddrivencavity/reference_data/v_y_exp.csv
new file mode 100644
index 0000000000000000000000000000000000000000..c9176d098314708af09fb886b3fba8530fa95e4e
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/v_y_exp.csv
@@ -0,0 +1,9 @@
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diff --git a/examples/liddrivencavity/reference_data/v_y_num.csv b/examples/liddrivencavity/reference_data/v_y_num.csv
new file mode 100644
index 0000000000000000000000000000000000000000..2c080030ab4bef26dbc70926195e3335a9c84fa6
--- /dev/null
+++ b/examples/liddrivencavity/reference_data/v_y_num.csv
@@ -0,0 +1,78 @@
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+0.463252901771879;-0.165323168554647
+0.486983394787082;-0.170171538768697
+0.508315197280252;-0.172925453841613
+0.545582281812094;-0.176578511271488
+0.612254263648705;-0.17680284457584
+0.652886734423278;-0.174284120547567
+0.695616652850882;-0.166693658417209
+0.714201467371259;-0.161055141743268
+0.744511196300785;-0.153991891966036
+0.769900498776174;-0.144162469556771
+0.822911468452884;-0.121631151698286
+0.843143656017629;-0.111323401653695
+0.860905216824327;-0.101020923216697
+0.87977096734535;-0.089938469031137
+0.895150428045632;-0.080418693036281
+0.910356168068146;-0.070121667986447
+0.926030475234426;-0.059823643148965
+0.938382215381267;-0.049532707714797
+0.952821209168525;-0.039237318681112
+0.966660512147318;-0.028165589490308
+0.979882451303688;-0.018820079511937
+0.996274493790708;-0.005551429738106
diff --git a/examples/liddrivencavity/run_and_plot.py b/examples/liddrivencavity/run_and_plot.py
new file mode 100755
index 0000000000000000000000000000000000000000..e7b43699f5518386c439993b887cf82322e93108
--- /dev/null
+++ b/examples/liddrivencavity/run_and_plot.py
@@ -0,0 +1,85 @@
+#!/usr/bin/env python3
+import sys
+if sys.version_info[0] < 3:
+    sys.exit("Python 3 required to run this script. Exit.")
+
+#####################################################
+##### simulation ####################################
+#####################################################
+import subprocess
+import numpy as np
+import argparse
+
+parser = argparse.ArgumentParser(description='plot script for the lid-driven cavity example')
+parser.add_argument('-s', '--skipsim', required=False, action='store_true',
+                    help='use this flag to skip the simulation run and directly plot already existing data')
+parser.add_argument('-n', '--noplotwindow', required=False, action='store_true',
+                    help='use this flag to suppress the plot window popping up')
+args = vars(parser.parse_args())
+
+reynolds = [1, 1000]
+x = {}
+y = {}
+vx = {}
+vy = {}
+for re in reynolds:
+    if not args['skipsim']:
+        subprocess.run(['make', 'example_ff_liddrivencavity'], check=True)
+        subprocess.run(['./example_ff_liddrivencavity', 'params_re' + str(re) + '.input'], check=True)
+    y[str(re)], vx[str(re)] = np.genfromtxt('example_ff_liddrivencavity_re' + str(re) + '_vx' + '.log', skip_header= True).T
+    x[str(re)], vy[str(re)] = np.genfromtxt('example_ff_liddrivencavity_re' + str(re) + '_vy' + '.log', skip_header= True).T
+
+####################################################
+#### reference #####################################
+####################################################
+ghiavx, ghiay = np.genfromtxt("./reference_data/ghia_x.csv", delimiter=';').T
+ghiax, ghiavy = np.genfromtxt("./reference_data/ghia_y.csv", delimiter=';').T
+
+jurjevicnumvx, jurjevicnumy = np.genfromtxt("./reference_data/v_x_num.csv", delimiter=';').T
+jurjevicnumy = jurjevicnumy/2.0 + 0.5
+jurjevicnumx, jurjevicnumvy = np.genfromtxt("./reference_data/v_y_num.csv", delimiter=';').T
+jurjevicnumx = jurjevicnumx/2.0 + 0.5
+jurjevicexpvx, jurjevicexpy = np.genfromtxt("./reference_data/v_x_exp.csv", delimiter=';').T
+jurjevicexpy = jurjevicexpy/2.0 + 0.5
+jurjevicexpx, jurjevicexpvy = np.genfromtxt("./reference_data/v_y_exp.csv", delimiter=';').T
+jurjevicexpx = jurjevicexpx/2.0 + 0.5
+
+####################################################
+#### plotting ######################################
+####################################################
+import matplotlib.pyplot as plt
+
+fig, (ax1, ax2, ax3, ax4) = plt.subplots(1, 4, figsize = (9,4))
+ax1.plot(vx['1'], y['1'] , color='black', label=u"DuMu$^\mathrm{x}$",linewidth=2)
+ax1.plot(jurjevicnumvx, jurjevicnumy, '--', markerfacecolor='white', color='black', label=u"R.Jurjevic et al., num")
+ax1.plot(jurjevicexpvx, jurjevicexpy, 'o', markerfacecolor='white', color='black', label=u"R.Jurjevic et al., exp")
+ax1.set_xlabel(r"$v_x$[m/s]")
+ax1.set_ylabel(u"y [m]")
+
+ax2.plot(x['1'], vy['1'],  color='black', label=u"DuMu$^\mathrm{x}$",linewidth=2)
+ax2.plot(jurjevicnumx, jurjevicnumvy, '--', markerfacecolor='white', color='black', label=u"R.Jurjevic, num")
+ax2.plot(jurjevicexpx, jurjevicexpvy, 'o', markerfacecolor='white', color='black', label=u"R.Jurjevic, exp")
+ax2.set_xlabel(u"x [m]")
+ax2.set_ylabel(r"$v_y$[m/s]",labelpad=1)
+ax2.set_xlabel(u"x [m]")
+ax2.set_ylabel(r"$v_y$[m/s]",labelpad=1)
+
+handles, labels = ax2.get_legend_handles_labels()
+fig.legend(handles, labels, bbox_to_anchor=(0.51, 1.0), ncol=3, labelspacing=0.)
+
+ax3.plot(vx['1000'], y['1000'], color='black', label=u"DuMu$^\mathrm{x}$",linewidth=2)
+ax3.plot(ghiavx, ghiay, 'o',  markerfacecolor='white', color='black', label=u"Ghia et al.")
+ax3.set_xlabel(r"$v_x$[m/s]")
+ax3.set_ylabel(u"y [m]")
+
+ax4.plot(x['1000'], vy['1000'], color='black', label=u"DuMu$^\mathrm{x}$",linewidth=2)
+ax4.plot(ghiax, ghiavy, 'o',  markerfacecolor='white', color='black', label=u"Ghia et al.")
+ax4.set_xlabel(u"x [m]")
+ax4.set_ylabel(r"$v_y$[m/s]",labelpad=1)
+
+handles, labels = ax4.get_legend_handles_labels()
+fig.legend(handles, labels, bbox_to_anchor=(0.92, 1.0), ncol =2, labelspacing=0.)
+fig.tight_layout(rect=[0.03, 0.07, 1, 0.9], pad=0.4, w_pad=2.0, h_pad=1.0)
+
+plt.savefig("lidverification.png", dpi= 300)
+if not args['noplotwindow']: plt.show()
diff --git a/test/freeflow/navierstokes/CMakeLists.txt b/test/freeflow/navierstokes/CMakeLists.txt
index 70806b5004121dcbfa60ec263f6f4d3cc65ef422..ad8cb9cb700d8441d28a8658c532c590ad893440 100644
--- a/test/freeflow/navierstokes/CMakeLists.txt
+++ b/test/freeflow/navierstokes/CMakeLists.txt
@@ -1,7 +1,6 @@
 add_subdirectory(donea)
 add_subdirectory(angeli)
 add_subdirectory(kovasznay)
-add_subdirectory(closedsystem)
 add_subdirectory(channel)
 add_subdirectory(sincos)
 
diff --git a/test/freeflow/navierstokes/closedsystem/CMakeLists.txt b/test/freeflow/navierstokes/closedsystem/CMakeLists.txt
deleted file mode 100644
index 9365dec7d0edfaf2dd7528a5bc90cb544efef735..0000000000000000000000000000000000000000
--- a/test/freeflow/navierstokes/closedsystem/CMakeLists.txt
+++ /dev/null
@@ -1,37 +0,0 @@
-add_executable(test_ff_navierstokes_closedsystem EXCLUDE_FROM_ALL main.cc)
-
-dumux_add_test(NAME test_ff_navierstokes_closedsystem_ldc_re1
-              TARGET test_ff_navierstokes_closedsystem
-              LABELS freeflow navierstokes
-              CMAKE_GUARD HAVE_UMFPACK
-              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS       --script fuzzy
-                             --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_closedsystem_ldc_re1-reference.vtu
-                                     ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_closedsystem_ldc_re1-00002.vtu
-                             --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_closedsystem params_re1.input
-                             -Problem.Name test_ff_navierstokes_closedsystem_ldc_re1")
-
-dumux_add_test(NAME test_ff_navierstokes_closedsystem_ldc_re1000
-              TARGET test_ff_navierstokes_closedsystem
-              LABELS freeflow navierstokes
-              CMAKE_GUARD HAVE_UMFPACK
-              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS       --script fuzzy
-                             --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_closedsystem_ldc_re1000-reference.vtu
-                                     ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_closedsystem_ldc_re1000-00009.vtu
-                             --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_closedsystem params_re1000.input
-                             -Problem.Name test_ff_navierstokes_closedsystem_ldc_re1000")
-
-dumux_add_test(NAME test_ff_navierstokes_closedsystem_hydrostaticpressure
-              TARGET test_ff_navierstokes_closedsystem
-              LABELS freeflow navierstokes
-              CMAKE_GUARD HAVE_UMFPACK
-              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS       --script fuzzy
-                             --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_closedsystem_hydrostaticpressure-reference.vtu
-                                     ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_closedsystem_hydrostaticpressure-00002.vtu
-                             --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_closedsystem params_hydrostaticpressure.input
-                             -Problem.Name test_ff_navierstokes_closedsystem_hydrostaticpressure"
-                             --zeroThreshold {"velocity_liq \(m/s\)":1e-16})
-
-dune_symlink_to_source_files(FILES "params_re1.input" "params_re1000.input" "params_hydrostaticpressure.input")
diff --git a/test/freeflow/navierstokes/closedsystem/main.cc b/test/freeflow/navierstokes/closedsystem/main.cc
deleted file mode 100644
index f55d39fab726a6d867cbbfd72807d65bc87e0929..0000000000000000000000000000000000000000
--- a/test/freeflow/navierstokes/closedsystem/main.cc
+++ /dev/null
@@ -1,163 +0,0 @@
-// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
-// vi: set et ts=4 sw=4 sts=4:
-/*****************************************************************************
- *   See the file COPYING for full copying permissions.                      *
- *                                                                           *
- *   This program is free software: you can redistribute it and/or modify    *
- *   it under the terms of the GNU General Public License as published by    *
- *   the Free Software Foundation, either version 3 of the License, or       *
- *   (at your option) any later version.                                     *
- *                                                                           *
- *   This program is distributed in the hope that it will be useful,         *
- *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
- *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
- *   GNU General Public License for more details.                            *
- *                                                                           *
- *   You should have received a copy of the GNU General Public License       *
- *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
- *****************************************************************************/
-/*!
- * \file
- * \ingroup NavierStokesTests
- * \brief Test for the staggered grid Stokes model in a closed domain.
- */
-
-#include <config.h>
-
-#include <ctime>
-#include <iostream>
-
-#include <dune/common/parallel/mpihelper.hh>
-#include <dune/common/timer.hh>
-#include <dune/grid/io/file/vtk.hh>
-#include <dune/istl/io.hh>
-
-#include <dumux/assembly/staggeredfvassembler.hh>
-#include <dumux/assembly/diffmethod.hh>
-#include <dumux/common/dumuxmessage.hh>
-#include <dumux/common/parameters.hh>
-#include <dumux/common/properties.hh>
-#include <dumux/io/grid/gridmanager.hh>
-#include <dumux/io/staggeredvtkoutputmodule.hh>
-#include <dumux/linear/seqsolverbackend.hh>
-#include <dumux/nonlinear/newtonsolver.hh>
-
-#include "problem.hh"
-
-int main(int argc, char** argv)
-{
-    using namespace Dumux;
-
-    // define the type tag for this problem
-    using TypeTag = Properties::TTag::ClosedSystemTest;
-
-    // initialize MPI, finalize is done automatically on exit
-    const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv);
-
-    // print dumux start message
-    if (mpiHelper.rank() == 0)
-        DumuxMessage::print(/*firstCall=*/true);
-
-    // parse command line arguments and input file
-    Parameters::init(argc, argv);
-
-    // try to create a grid (from the given grid file or the input file)
-    GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager;
-    gridManager.init();
-
-    ////////////////////////////////////////////////////////////
-    // run instationary non-linear problem on this grid
-    ////////////////////////////////////////////////////////////
-
-    // we compute on the leaf grid view
-    const auto& leafGridView = gridManager.grid().leafGridView();
-
-    // create the finite volume grid geometry
-    using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>;
-    auto gridGeometry = std::make_shared<GridGeometry>(leafGridView);
-    gridGeometry->update();
-
-    // the problem (initial and boundary conditions)
-    using Problem = GetPropType<TypeTag, Properties::Problem>;
-    auto problem = std::make_shared<Problem>(gridGeometry);
-
-    // the solution vector
-    using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
-    SolutionVector x;
-    x[GridGeometry::cellCenterIdx()].resize(gridGeometry->numCellCenterDofs());
-    x[GridGeometry::faceIdx()].resize(gridGeometry->numFaceDofs());
-    problem->applyInitialSolution(x);
-    auto xOld = x;
-
-    // the grid variables
-    using GridVariables = GetPropType<TypeTag, Properties::GridVariables>;
-    auto gridVariables = std::make_shared<GridVariables>(problem, gridGeometry);
-    gridVariables->init(x);
-
-    // get some time loop parameters
-    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
-    const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
-    const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
-    auto dt = getParam<Scalar>("TimeLoop.DtInitial");
-
-    // intialize the vtk output module
-    using IOFields = GetPropType<TypeTag, Properties::IOFields>;
-    StaggeredVtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name());
-    IOFields::initOutputModule(vtkWriter); // Add model specific output fields
-    vtkWriter.write(0.0);
-
-    // instantiate time loop
-    auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0, dt, tEnd);
-    timeLoop->setMaxTimeStepSize(maxDt);
-
-    // the assembler with time loop for instationary problem
-    using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>;
-    auto assembler = std::make_shared<Assembler>(problem, gridGeometry, gridVariables, timeLoop, xOld);
-
-    // the linear solver
-    using LinearSolver = Dumux::UMFPackBackend;
-    auto linearSolver = std::make_shared<LinearSolver>();
-
-    // the non-linear solver
-    using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>;
-    NewtonSolver nonLinearSolver(assembler, linearSolver);
-
-    // time loop
-    timeLoop->start(); do
-    {
-        // solve the non-linear system with time step control
-        nonLinearSolver.solve(x, *timeLoop);
-
-        // make the new solution the old solution
-        xOld = x;
-        gridVariables->advanceTimeStep();
-
-        // advance to the time loop to the next step
-        timeLoop->advanceTimeStep();
-
-        // write vtk output
-        vtkWriter.write(timeLoop->time());
-
-        // report statistics of this time step
-        timeLoop->reportTimeStep();
-
-        // set new dt as suggested by newton solver
-        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
-
-    } while (!timeLoop->finished());
-
-    timeLoop->finalize(leafGridView.comm());
-
-    ////////////////////////////////////////////////////////////
-    // finalize, print dumux message to say goodbye
-    ////////////////////////////////////////////////////////////
-
-    // print dumux end message
-    if (mpiHelper.rank() == 0)
-    {
-        Parameters::print();
-        DumuxMessage::print(/*firstCall=*/false);
-    }
-
-    return 0;
-} // end main
diff --git a/test/freeflow/navierstokes/closedsystem/params_hydrostaticpressure.input b/test/freeflow/navierstokes/closedsystem/params_hydrostaticpressure.input
deleted file mode 100644
index d7a46b45297e753c477793588c1b10d4f2a6894c..0000000000000000000000000000000000000000
--- a/test/freeflow/navierstokes/closedsystem/params_hydrostaticpressure.input
+++ /dev/null
@@ -1,23 +0,0 @@
-[TimeLoop]
-DtInitial = 1 # [s]
-TEnd = 2 # [s]
-
-[Grid]
-UpperRight = 1 1
-Cells = 64 64
-
-[Problem]
-Name = test_hydrostaticpressure # name passed to the output routines
-LidVelocity = 0
-EnableGravity = true
-
-[Component]
-LiquidDensity = 1000
-LiquidKinematicViscosity = 1.0
-
-[ Newton ]
-MaxSteps = 10
-MaxRelativeShift = 1e-5
-
-[Vtk]
-WriteFaceData = false