diff --git a/dumux/freeflow/rans/twoeq/kepsilon/problem.hh b/dumux/freeflow/rans/twoeq/kepsilon/problem.hh
index fe1f2d41523bf2e32d41e3cd4693c12552356d39..b6734716dc1d9eefd79b241c09ef1cf33f18a5b7 100644
--- a/dumux/freeflow/rans/twoeq/kepsilon/problem.hh
+++ b/dumux/freeflow/rans/twoeq/kepsilon/problem.hh
@@ -189,7 +189,12 @@ public:
      * \brief Returns if an element is located in the near-wall region
      */
     const bool inNearWallRegion(unsigned int elementID) const
-    { return yPlusNominal(elementID) < yPlusThreshold_; }
+    {
+        unsigned int wallElementID = asImp_().wallElementID_[elementID];
+        unsigned int matchingPointID = matchingPointID_[wallElementID];
+        return wallElementID == matchingPointID ? yPlusNominal(elementID) < yPlusThreshold_
+                                                : yPlus(elementID) < yPlusThreshold_;
+    }
 
     /*!
      * \brief Returns if an element is the matching point
diff --git a/test/freeflow/rans/CMakeLists.txt b/test/freeflow/rans/CMakeLists.txt
index 170ac48fcc5a8ebdb6164643a1882d99e78bd850..14f7a260fb9978c3a172180d36f6d65a6f5c0b7d 100644
--- a/test/freeflow/rans/CMakeLists.txt
+++ b/test/freeflow/rans/CMakeLists.txt
@@ -21,7 +21,7 @@ dune_add_test(NAME test_pipe_laufer_kepsilon_twolayers
               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
+                                ${CMAKE_CURRENT_BINARY_DIR}/pipe_laufer_reference-00051.vtu
                         --command "${CMAKE_CURRENT_BINARY_DIR}/test_pipe_laufer_kepsilon test_pipe_laufer_reference.input")
 
 dune_add_test(NAME test_pipe_laufer_kepsilon_wallfunction
diff --git a/test/freeflow/rans/test_pipe_laufer.input b/test/freeflow/rans/test_pipe_laufer.input
index f698d87214da52d50ea98e6cb92a5a0b2831bd1e..88e49ae0042f0511af1a325c7bec7163b3481d26 100644
--- a/test/freeflow/rans/test_pipe_laufer.input
+++ b/test/freeflow/rans/test_pipe_laufer.input
@@ -25,7 +25,7 @@ EddyViscosityModel = "baldwinLomax"
 UseStoredEddyViscosity = false
 
 [KEpsilon]
-YPlusThreshold = 30.
+YPlusThreshold = 50. # should be large (30-60) for fine grids
 
 [Assembly]
 NumericDifferenceMethod = 0
diff --git a/test/freeflow/rans/test_pipe_laufer_reference.input b/test/freeflow/rans/test_pipe_laufer_reference.input
index 8affc90287fd0efcd6b61cf99b56268fca7a23ca..ef597de3f08a2da497d017ae1a9029a9177a96b8 100644
--- a/test/freeflow/rans/test_pipe_laufer_reference.input
+++ b/test/freeflow/rans/test_pipe_laufer_reference.input
@@ -19,7 +19,7 @@ EnableGravity = false
 EddyViscosityModel = "baldwinLomax"
 
 [KEpsilon]
-YPlusThreshold = 50.
+YPlusThreshold = 10. # should be small (10-30) for coarse grids
 
 [Assembly]
 NumericDifferenceMethod = 0
diff --git a/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input b/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input
index 503ee32d15cf5a3996f48649e9f38b9c7b5fec03..b0e86caf4e7ee138374549c37ccd4037e7660041 100644
--- a/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input
+++ b/test/freeflow/rans/test_pipe_laufer_reference_wallfunction.input
@@ -19,7 +19,7 @@ InletVelocity = 2.5 # [m/s]
 EnableGravity = false
 
 [KEpsilon]
-YPlusThreshold = 25.
+YPlusThreshold = 10. # should be small (10-30) for coarse grids
 
 [Assembly]
 NumericDifferenceMethod = 0
diff --git a/test/freeflow/ransnc/CMakeLists.txt b/test/freeflow/ransnc/CMakeLists.txt
index 0c3933a66d09cb0f341f4f7421f085fa231112fd..c79e01ce09821b613f39207d485ccc2ea3aeffb1 100644
--- a/test/freeflow/ransnc/CMakeLists.txt
+++ b/test/freeflow/ransnc/CMakeLists.txt
@@ -11,7 +11,7 @@ dune_add_test(NAME test_flatplate_kepsilon2cni
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
               CMD_ARGS       --script fuzzy
                              --files ${CMAKE_SOURCE_DIR}/test/references/test_flatplate_kepsilon2cni.vtu
-                                     ${CMAKE_CURRENT_BINARY_DIR}/test_flatplate2cni-00038.vtu
+                                     ${CMAKE_CURRENT_BINARY_DIR}/test_flatplate2cni-00037.vtu
                              --command "${CMAKE_CURRENT_BINARY_DIR}/test_flatplate_kepsilon2cni
                                        test_flatplate2cni.input")
 target_compile_definitions(test_flatplate_kepsilon2cni PUBLIC "KEPSILON=1" "NONISOTHERMAL=1")
diff --git a/test/references/pipe_laufer_kepsilon.vtu b/test/references/pipe_laufer_kepsilon.vtu
index 67816e98fa21e5ef669520f143f369c675cec47c..ae4ead2bfd8d8b8039f75c89e62f7f0efe9f478a 100644
--- a/test/references/pipe_laufer_kepsilon.vtu
+++ b/test/references/pipe_laufer_kepsilon.vtu
@@ -4,172 +4,172 @@
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diff --git a/test/references/test_flatplate_kepsilon2cni.vtu b/test/references/test_flatplate_kepsilon2cni.vtu
index e55c59bc5acfd4ae1351a3dd9003b1080f453ed4..65040eb16e8c04ec88d7575d7f83ca30435d5947 100644
--- a/test/references/test_flatplate_kepsilon2cni.vtu
+++ b/test/references/test_flatplate_kepsilon2cni.vtu
@@ -23,118 +23,118 @@
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