International audienceA complete mesh generation or mesh adaptation process usually requires a large number of operators : Delaunay insertion, edge-face-element point insertion, edge collapse, point smoothing, face/edge swaps, etc. Independently of the complexity of the geometry, the more operators are involved in a remeshing process, the less robust the process may become. In addition, deriving a parallel version of the process may involve a large number of modifications for each operator. Consequently, the multiplication of operators implies additional difficulties in maintaining, improving and parallelizing a code. The scope of this paper is to address these issues by introducing a unique cavity-based operator. As it embeds all aforementioned operators, it can be used as the unique operator at each step of the process from surface and volume remeshing to boundary layer extrusion. In addition, we show that a coarse grain parallelization is possible by using a surface-constrained version of the operator

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This paper is an attempt to combine a full multigrid (FMG) algorithm with the classical anisotropic mesh adaptation loop. The FMG algorithm aims at improving the convergence rate of the flow solver, while mesh adaptation tends to improve the tradeoff between CPU time and accuracy of the solution. Coupling these two methods consists, at each stage of the adaptation loop, in running a multigrid simulation using the previously adapted coarser meshes. The main benefits of this coupling are that (i) the convergence of mesh adaptation is improved thanks to the properties stated by the FMG theory, and (ii) anisotropic coarsening is automatically handled by mesh adaptation. First, the implementation and the validation of the multigrid procedures are described, and then the coupling is detailed. Results are presented in 2D and 3D for various flow prescriptions, including a real-life configuration.