diff --git a/src/equations/compressible_euler_2d.jl b/src/equations/compressible_euler_2d.jl
index 6c8f2e1e848..a992f99eaf4 100644
--- a/src/equations/compressible_euler_2d.jl
+++ b/src/equations/compressible_euler_2d.jl
@@ -1351,7 +1351,7 @@ of the numerical flux.
     v1_roe = (sqrt_rho_ll * v1_ll + sqrt_rho_rr * v1_rr) * inv_sum_sqrt_rho
     v2_roe = (sqrt_rho_ll * v2_ll + sqrt_rho_rr * v2_rr) * inv_sum_sqrt_rho
     v_roe = v1_roe * normal_direction[1] + v2_roe * normal_direction[2]
-    v_roe_mag = (v1_roe * normal_direction[1])^2 + (v2_roe * normal_direction[2])^2
+    v_roe_mag = v1_roe^2 + v2_roe^2
 
     H_roe = (sqrt_rho_ll * H_ll + sqrt_rho_rr * H_rr) * inv_sum_sqrt_rho
     c_roe = sqrt((equations.gamma - 1) * (H_roe - 0.5 * v_roe_mag)) * norm_
diff --git a/test/test_p4est_2d.jl b/test/test_p4est_2d.jl
index 546e5bff8a6..07c6d02bbcd 100644
--- a/test/test_p4est_2d.jl
+++ b/test/test_p4est_2d.jl
@@ -203,16 +203,16 @@ end
 @trixi_testset "elixir_euler_sedov.jl (HLLE)" begin
     @test_trixi_include(joinpath(EXAMPLES_DIR, "elixir_euler_sedov.jl"),
                         l2=[
-                            0.411541263324004,
-                            0.2558929632770186,
-                            0.2558929632770193,
-                            1.298715766843915,
+                            0.40853279043747015,
+                            0.25356771650524296,
+                            0.2535677165052422,
+                            1.2984601729572691,
                         ],
                         linf=[
-                            1.3457201726152221,
-                            1.3138961427140758,
-                            1.313896142714079,
-                            6.293305112638921,
+                            1.3840909333784284,
+                            1.3077772519086124,
+                            1.3077772519086157,
+                            6.298798630968632,
                         ],
                         surface_flux=flux_hlle,
                         tspan=(0.0, 0.3))
diff --git a/test/test_unit.jl b/test/test_unit.jl
index a73dfab5504..29390161ebe 100644
--- a/test/test_unit.jl
+++ b/test/test_unit.jl
@@ -1191,7 +1191,7 @@ end
         u_values = [SVector(1.0, 0.5, -0.7, 1.0),
             SVector(1.5, -0.2, 0.1, 5.0)]
         fluxes = [flux_central, flux_ranocha, flux_shima_etal, flux_kennedy_gruber,
-            flux_hll, FluxHLL(min_max_speed_davis)]
+            flux_hll, FluxHLL(min_max_speed_davis), flux_hlle]
 
         for f_std in fluxes
             f_rot = FluxRotated(f_std)
@@ -1215,7 +1215,7 @@ end
             SVector(1.5, -0.2, 0.1, 0.2, 5.0)]
         fluxes = [flux_central, flux_ranocha, flux_shima_etal, flux_kennedy_gruber,
             FluxLMARS(340),
-            flux_hll, FluxHLL(min_max_speed_davis)]
+            flux_hll, FluxHLL(min_max_speed_davis), flux_hlle]
 
         for f_std in fluxes
             f_rot = FluxRotated(f_std)