1.1 Context

Anisotropic mesh adaptation methods are revealed very efficient for CFD simulations (see for example [1,5,9,10]) : these methods allow to control the accuracy of numerical solution while simultaneously reducting the number of mesh vertices to a minimum. An interesting potentiality of local anisotropic mesh adaptation is also related to the accurate tracking and approximation of a dynamically evolving interface [4].

In those contexts, the creation of 3D anisotropic meshes is essential. In our approach, we rely on local mesh modifications. Vertex insertion is handled using the anisotropic extension of the Delaunay kernel [3]. The description of the other operators that are involved can be found in the book [6]. Their extension to the anisotropic case is straightforward. Let us simply mention here that we use a combination of edge flips, edge collapsing, node relocation and vertex insertion operations, all driven by the anisotropic metric specifications.

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