diff --git a/docs/src/meshes/structured_mesh.md b/docs/src/meshes/structured_mesh.md
index 7c25c96be63..98f7beb3db9 100644
--- a/docs/src/meshes/structured_mesh.md
+++ b/docs/src/meshes/structured_mesh.md
@@ -2,6 +2,8 @@
 
 The [`StructuredMesh`](@ref) is a structured, curvilinear, conforming
 mesh type available for one-, two-, and three-dimensional simulations.
+An application of the [`StructuredMesh`](@ref) using a user-defined mapping 
+is provided by [one of the tutorials](https://trixi-framework.github.io/Trixi.jl/stable/tutorials/structured_mesh_mapping/).
 
 Due to its curvilinear nature, (numerical) fluxes need to implement methods
 dispatching on the `normal::AbstractVector`. Rotationally invariant equations
diff --git a/docs/src/meshes/tree_mesh.md b/docs/src/meshes/tree_mesh.md
index a172a9b9a5b..9a88919a40c 100644
--- a/docs/src/meshes/tree_mesh.md
+++ b/docs/src/meshes/tree_mesh.md
@@ -5,7 +5,7 @@ used in many parts of Trixi.jl. Often, the support for this mesh type is
 developed best since it was the first mesh type in Trixi.jl,
 and it is available in one, two, and three space dimensions.
 
-It is limited to hypercube domains but supports AMR via the [`AMRCallback`](@ref).
+It is limited to hypercube domains (that is, lines in 1D, squares in 2D and cubes in 3D) but supports AMR via the [`AMRCallback`](@ref).
 Due to its Cartesian nature, (numerical) fluxes need to implement methods
 dispatching on the `orientation::Integer` as described in the
 [conventions](@ref conventions).
diff --git a/docs/src/overview.md b/docs/src/overview.md
index 9bc523ca297..72a341de7eb 100644
--- a/docs/src/overview.md
+++ b/docs/src/overview.md
@@ -64,6 +64,14 @@ different features on different mesh types.
 
 ᵃ: quad = quadrilateral, hex = hexahedron
 
+Note that except for [`TreeMesh`](@ref) all meshes are of *curvilinear* type, 
+which means that a (unit) vector normal to the interface (`normal_direction`) needs to be supplied to the 
+numerical flux function.
+You can check the [reference](https://trixi-framework.github.io/Trixi.jl/stable/reference-trixi/) if a certain 
+numerical flux is implemented with a `normal_direction` 
+or if currently only the *Cartesian* version (for [`TreeMesh`](@ref)) exists.
+In this case, you can still use this flux on curvilinear meshes by rotating it, see [`FluxRotated`](@ref).
+
 ## Time integration methods
 
 Trixi.jl is compatible with the [SciML ecosystem for ordinary differential equations](https://diffeq.sciml.ai/latest/).