diff --git a/test/freeflow/staggerednc/CMakeLists.txt b/test/freeflow/staggerednc/CMakeLists.txt
index 4e6577cea9579fed185a4bfbfb94bf2e575f8041..4c9e540c1ccc78c45f84f2a364d1fa36fbfc4d2a 100644
--- a/test/freeflow/staggerednc/CMakeLists.txt
+++ b/test/freeflow/staggerednc/CMakeLists.txt
@@ -22,14 +22,21 @@ add_dumux_test(test_advection test_channel test_channel.cc
${CMAKE_CURRENT_BINARY_DIR}/test_advection-00009.vtu
--command "${CMAKE_CURRENT_BINARY_DIR}/test_channel test_advection.input")
-add_dumux_test(test_stokes2cni test_stokes2cni test_channel.cc
+add_dumux_test(test_stokes2cni_advection test_stokes2cni test_channel.cc
python ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
--script fuzzy
- --files ${CMAKE_SOURCE_DIR}/test/references/stokes2c-advection.vtu
- ${CMAKE_CURRENT_BINARY_DIR}/test_advection-00002.vtu
- --command "${CMAKE_CURRENT_BINARY_DIR}/test_channel test_advection.input")
+ --files ${CMAKE_SOURCE_DIR}/test/references/stokes2cni-advection.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_stokes2cni_advection-00009.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_stokes2cni test_stokes2cni_advection.input")
target_compile_definitions(test_stokes2cni PUBLIC "NONISOTHERMAL=1")
+add_dumux_test(test_stokes2cni_diffusion test_stokes2cni test_channel.cc
+ python ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/stokes2cni-diffusion.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_stokes2cni_diffusion-00014.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_stokes2cni test_stokes2cni_diffusion.input")
+
#install sources
install(FILES
diff --git a/test/freeflow/staggerednc/test_stokes2cni_advection.input b/test/freeflow/staggerednc/test_stokes2cni_advection.input
new file mode 100644
index 0000000000000000000000000000000000000000..2d84bb39d80a0ebf8f4113387979e9ecbfabe0e7
--- /dev/null
+++ b/test/freeflow/staggerednc/test_stokes2cni_advection.input
@@ -0,0 +1,19 @@
+[TimeManager]
+DtInitial = 5 # [s]
+TEnd = 400 # [s]
+
+[Grid]
+UpperRight = 5 1
+Cells = 50 25
+
+[Problem]
+Name = test_stokes2cni_advection # name passed to the output routines
+InletVelocity = 1e-2
+EnableGravity = false
+
+[ Newton ]
+MaxSteps = 10
+MaxRelativeShift = 1e-8
+
+[Vtk]
+WriteFaceData = false
diff --git a/test/freeflow/staggerednc/test_stokes2cni_diffusion.input b/test/freeflow/staggerednc/test_stokes2cni_diffusion.input
new file mode 100644
index 0000000000000000000000000000000000000000..086b1be76d0bfbe0f335673d6c194d8269a1cba7
--- /dev/null
+++ b/test/freeflow/staggerednc/test_stokes2cni_diffusion.input
@@ -0,0 +1,19 @@
+[TimeManager]
+DtInitial = 1e6 # [s]
+TEnd = 1e9 # [s]
+
+[Grid]
+UpperRight = 5 1
+Cells = 50 10
+
+[Problem]
+Name = test_stokes2cni_diffusion # name passed to the output routines
+InletVelocity = 0
+EnableGravity = false
+
+[ Newton ]
+MaxSteps = 10
+MaxRelativeShift = 1e-8
+
+[Vtk]
+WriteFaceData = false
diff --git a/test/references/stokes2cni-advection.vtu b/test/references/stokes2cni-advection.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..20e12d0ad5c665584fc6166a98f5af268224cf5d
--- /dev/null
+++ b/test/references/stokes2cni-advection.vtu
@@ -0,0 +1,2365 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+ <UnstructuredGrid>
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diff --git a/test/references/stokes2cni-diffusion.vtu b/test/references/stokes2cni-diffusion.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..2361cbaf48103517b5996d7519e1026fcaeebcab
--- /dev/null
+++ b/test/references/stokes2cni-diffusion.vtu
@@ -0,0 +1,980 @@
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