International audienceThe anisotropic mesh adaption techniques in the last decade have dramatically improved the numerical simulations accuracy of complex problems. An optimal anisotropic mesh adaption consists in refining and coarsening the mesh, by using a metric to specify stretching directions, in order to accurately capture physical anisotropy such as shock waves, contact discontinuities, vortexes, boundary layers and free surfaces. Thus, we propose in this paper, an anisotropic a posteriori error estimator that controls the error due to mesh discretization in all space directions. From the a posteriori error analysis, we obtain an optimal metric (optimal mesh) as a minimum of an error indicator function and for a given number of elements. The optimal metric obtained is used to build an optimal mesh for the given number of elements. Furthermore, solutions for the physical problems illustrated here are often more accurate on adapted meshes than those obtained on globally-refined meshes and at a much lower cost
International audienceThis paper presents a fully parallel multi-component Library called CIMLib. CIMLib contains a set of components that allow to build efficiently numerical simulation of a various processes mainly in material forming. We describe in this paper the main components of the library: parallel mesh partitioning, parallel remeshing, the Finite Element modelling and the parallel storage and visualization. Two large numerical simulations are presented: the first one focuses on a multi-bodies contact problem, including friction, for complex 3D forming processes. The mesh is evolving during the simulation from 52K nodes to 7M nodes and 64 cores are used to handle this application. The second simulation concerns the multiphase problems involved in the manufacturing processes of full parts. The simulation is done using 88 processors and the mesh is refined during the simulation the final mesh has over 25M nodes
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