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Parallel discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimensional wave propagation problems

Marc Bernacki 1 Loula Fezoui 1 Stéphane Lanteri 1 Serge Piperno 2
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
Abstract : We discuss the parallel performances of discontinuous Galerkin solvers designed on unstructured tetrahedral meshes for the calculation of three-dimensional heterogeneous electromagnetic and aeroacoustic wave propagation problems. An explicit leap-frog time-scheme along with centered numerical fluxes are used in the proposed discontinuous Galerkin time-domain (DGTD) methods. The schemes introduced are genuinely non-dissipative, in order to achieve a discrete equivalent of the energy conservation. Parallelization of these schemes is based on a standard strategy that combines mesh partitioning and a message passing programming model. The resulting parallel solvers are applied and evaluated on several large-scale, homogeneous and heterogeneous, wave propagation problems.
Keywords : SPMD parallel computing discontinuous Galerkin tetrahedral mesh electromagnetics aeroacoustics finite element
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Submitted on : Monday, July 11, 2011 - 10:00:09 AM
Last modification on : Friday, February 4, 2022 - 3:07:58 AM

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ENPC | PARISTECH | CNRS | INRIA | CERMICS | DIEUDONNE | INRIA2

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Marc Bernacki, Loula Fezoui, Stéphane Lanteri, Serge Piperno. Parallel discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimensional wave propagation problems. Applied Mathematical Modelling, Elsevier, 2006, 30 (8), pp.744-763. ⟨10.1016/j.apm.2005.06.015⟩. ⟨hal-00607722⟩

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