diff --git a/test/freeflow/rans/CMakeLists.txt b/test/freeflow/rans/CMakeLists.txt
index 9a5e28e3b7ec177f11519d4700ac3948172dfae8..170ac48fcc5a8ebdb6164643a1882d99e78bd850 100644
--- a/test/freeflow/rans/CMakeLists.txt
+++ b/test/freeflow/rans/CMakeLists.txt
@@ -12,15 +12,26 @@ dune_add_test(NAME test_pipe_laufer_zeroeq
${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_reference-00044.vtu
--command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer_zeroeq test_pipe_laufer_reference.input")
-dune_add_test(NAME test_pipe_laufer_kepsilon
- SOURCES test_pipe_laufer.cc
+add_executable(test_pipe_laufer_kepsilon EXCLUDE_FROM_ALL test_pipe_laufer.cc)
+target_compile_definitions(test_pipe_laufer_kepsilon PUBLIC "KEPSILON=1")
+
+dune_add_test(NAME test_pipe_laufer_kepsilon_twolayers
+ TARGET test_pipe_laufer_kepsilon
CMAKE_GUARD HAVE_UMFPACK
COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
CMD_ARGS --script fuzzy
--files ${CMAKE_SOURCE_DIR}/test/references/pipe_laufer_kepsilon.vtu
${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_reference-00056.vtu
--command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer_kepsilon test_pipe_laufer_reference.input")
-target_compile_definitions(test_pipe_laufer_kepsilon PUBLIC "KEPSILON=1")
+
+dune_add_test(NAME test_pipe_laufer_kepsilon_wallfunction
+ TARGET test_pipe_laufer_kepsilon
+ CMAKE_GUARD HAVE_UMFPACK
+ COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+ CMD_ARGS --script fuzzy
+ --files ${CMAKE_SOURCE_DIR}/test/references/pipe_laufer_kepsilon_wallfunction.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_reference-00029.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer_kepsilon test_pipe_laufer_reference_wallfunction.input")
dune_add_test(NAME test_pipe_laufer_lowrekepsilon
SOURCES test_pipe_laufer.cc
diff --git a/test/freeflow/rans/test_pipe_laufer.cc b/test/freeflow/rans/test_pipe_laufer.cc
index 9634b9265508ee126b26c7e60c8b70a3f3681c1a..e2e40d0e91f58c522d6fd52e3e6bbfc42adeaa78 100644
--- a/test/freeflow/rans/test_pipe_laufer.cc
+++ b/test/freeflow/rans/test_pipe_laufer.cc
@@ -236,6 +236,7 @@ int main(int argc, char** argv) try
gnuplot_lawOfTheWall.resetPlot();
gnuplot_lawOfTheWall.setXlabel("y^+ [-]");
gnuplot_lawOfTheWall.setYlabel("u_+ [-]");
+ gnuplot_lawOfTheWall.setYRange(0.0, 30.0);
gnuplot_lawOfTheWall.setOption("set log x");
gnuplot_lawOfTheWall.setOption("set xrange [1:3000]");
gnuplot_lawOfTheWall.addFileToPlot("laufer_re50000_u+y+.csv", "u 1:2 w p t 'Laufer 1954, Re=50000'");
diff --git a/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input b/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input
new file mode 100644
index 0000000000000000000000000000000000000000..503ee32d15cf5a3996f48649e9f38b9c7b5fec03
--- /dev/null
+++ b/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input
@@ -0,0 +1,34 @@
+[TimeLoop]
+DtInitial = 1e-1 # [s]
+TEnd = 100 # [s]
+
+[Grid]
+Verbosity = true
+Positions0 = 0.0 10.0
+Positions1 = 0.0 0.12345 0.2469
+Cells0 = 25
+Cells1 = 10 10
+
+[Output]
+PlotLawOfTheWall = false
+PlotVelocityProfile = false
+
+[Problem]
+Name = pipe_laufer_reference
+InletVelocity = 2.5 # [m/s]
+EnableGravity = false
+
+[KEpsilon]
+YPlusThreshold = 25.
+
+[Assembly]
+NumericDifferenceMethod = 0
+NumericDifference.BaseEpsilon = 1e-8
+
+[Newton]
+TargetSteps = 5
+MaxRelativeShift = 1e-5
+
+[Vtk]
+AddVelocity = true
+WriteFaceData = true
diff --git a/test/references/pipe_laufer_kepsilon_wallfunction.vtu b/test/references/pipe_laufer_kepsilon_wallfunction.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..944d369012fbb0062dbefcc9235e2e4d0bb9ac0d
--- /dev/null
+++ b/test/references/pipe_laufer_kepsilon_wallfunction.vtu
@@ -0,0 +1,1538 @@
+<?xml version="1.0"?>
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