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Dynamic Parallel Adaption for Three Dimensional Unstructured Meshes: Application to Interface Tracking

Abstract : The 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.
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Submitted on : Tuesday, November 26, 2013 - 3:36:08 PM
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Youssef Mesri, Walid Zerguine, Hugues Digonnet, Luisa Silva, Thierry Coupez. Dynamic Parallel Adaption for Three Dimensional Unstructured Meshes: Application to Interface Tracking. 17th International Meshing Roundtable, Oct 2008, Pittsburgh, PA, United States. pp.Pages 195-212, ⟨10.1007/978-3-540-87921-3_12⟩. ⟨hal-00909625⟩

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