README.md

Examples

To get started with DuMu^x, we recommend the following documented examples. Each example folder contains a ready-to-use DuMu^x simulation example. The description in each folder (best viewed online by following the link) explains each line of the code example.

📂 Example 1: One-phase flow and tracer transport

In this example, we simulate tracer transport through a confined aquifer with a randomly distributed permeability field. We first solve the pressure field, compute the steady state flow field, and then solve the tracer transport equation. You learn how to generate a randomly distributed permeability field sequentially solve two types of problems after each other: solve a one-phase flow in porous media problem compute the flow field from a pressure solution to pass to a tracer problem solve an instationary tracer transport problem with a given flow field

📂 Example 2: Two-phase flow with infiltration and adaptive grid

In this example we model a soil contamination problem where DNAPL infiltrates a water-saturated porous medium (two-phase flow). The initial distribution of DNAPL is read in from a txt-file. The grid is adapitvely refined where DNAPL enters the domain, around the plume, and around an injection well. You learn how to solve a two-phase flow in porous media problem with two immiscible phases set boundary conditions and a simple injection well implement a problem with heterogenous material parameters use adaptive grid refinement around the saturation front

📂 Example 3: Shallow water model

The shallow water flow model is applied to simulate steady subcritical flow in a channel including a bottom friction model. You learn how to solve a shallow water flow problem including bottom friction computate and output (VTK) an analytical reference solution

📂 Example 4: Freeflow channel

In this example, we simulate a free flow between two plates in two dimensions. You learn how to solve a free flow problem set outflow boundary conditions in the free-flow context

📂 Example 5: One-phase flow with rotation-symmetric solution

In this example, a rotation-symmetric solution for the single-phase flow equation is discussed. You learn how to solve a rotation-symmetric problem perform a convergence test against an analytical solution do post-processing in ParaView

📂 Example 6: Biomineralization

In this example, we simulate microbially-induced calcite precipitation You learn how to solve a reactive transport model including biofilm growth mineral precipitation and dissolution changing porosity and permeability use complex fluid and solid systems set a complex time loop with checkpoints, reading the check points from a file set complex injection boundary conditions, reading the injection types from a file

📂 Example 7: Lid-driven cavity

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