diff --git a/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl b/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl
index b7568296602..24404904ddd 100644
--- a/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl
+++ b/examples/p4est_2d_dgsem/elixir_euler_NACA0012airfoil_mach085.jl
@@ -123,7 +123,8 @@ amr_callback = AMRCallback(semi, amr_controller,
                            adapt_initial_condition_only_refine = true)
 
 callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback, save_solution,
-                        stepsize_callback, amr_callback)
+                        stepsize_callback, amr_callback
+			           )
 
 ###############################################################################
 # run the simulation
diff --git a/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl b/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl
index c15133de4e0..56d8ed703cf 100644
--- a/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl
+++ b/examples/p4est_2d_dgsem/elixir_navierstokes_NACA0012airfoil_mach08.jl
@@ -1,3 +1,13 @@
+# Transonic flow around an airfoil
+
+# This test is taken from the paper below. The values from Case 5 in Table 3 are used to validate
+# the scheme and computation of surface forces.
+
+# - Roy Charles Swanson, Stefan Langer (2016)
+#   Structured and Unstructured Grid Methods (2016)
+#   [https://ntrs.nasa.gov/citations/20160003623] (https://ntrs.nasa.gov/citations/20160003623)
+
+
 using Downloads: download
 using OrdinaryDiffEq
 using Trixi
@@ -133,7 +143,7 @@ callbacks = CallbackSet(summary_callback, analysis_callback, alive_callback, sav
 ###############################################################################
 # run the simulation
 
-time_int_tol = 1e-11
+time_int_tol = 1e-8
 sol = solve(ode, RDPK3SpFSAL49(); abstol = time_int_tol, reltol = time_int_tol,
             ode_default_options()..., callback = callbacks)
 summary_callback() # print the timer summary
diff --git a/test/test_parabolic_2d.jl b/test/test_parabolic_2d.jl
index af89becce59..d41b46aaef2 100644
--- a/test/test_parabolic_2d.jl
+++ b/test/test_parabolic_2d.jl
@@ -635,16 +635,16 @@ end
 end
 
 @trixi_testset "elixir_navierstokes_NACA0012airfoil_mach08.jl" begin
-    @test_trixi_include(joinpath(EXAMPLES_DIR,
+    @test_trixi_include(joinpath(examples_dir(), "p4est_2d_dgsem",
                                  "elixir_navierstokes_NACA0012airfoil_mach08.jl"),
-                        l2=[0.00018648657393597384,
-                            0.0005076712152849281,
-                            0.00038074587715240566,
-                            0.0021281773710793315],
-                        linf=[0.5153387749819276,
-                              1.1993620992082363,
-                              0.9077214408394708,
-                              5.666071686983816], tspan=(0.0, 0.001),
+                        l2=[0.000186486564226516,
+                            0.0005076712323400374,
+                            0.00038074588984354107,
+                            0.002128177239782089],
+                        linf=[0.5153387072802718,
+                              1.199362305026636,
+                              0.9077214424040279,
+                              5.666071182328691], tspan=(0.0, 0.001),
                         initial_refinement_level=0)
 end
 end