| Issue |
ESAIM: ProcS
Volume 67, 2020
CEMRACS 2018 - Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions
|
|
|---|---|---|
| Page(s) | 178 - 190 | |
| DOI | https://doi.org/10.1051/proc/202067011 | |
| Published online | 09 June 2020 | |
Curved interface reconstruction for 2D compressible multi-material flows
1 Sorbonne Université, institut des sciences du calcul et des données, ISCD, F-75005 Paris, France
2 Université Côte d’Azur, Inria, CNRS, LJAD, Parc Valrose, 06108 Nice, France
3 CEA DAM DIF, BP 12, 91297 Arpajon Cedex, France
4 Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, 78035 Versailles, France
In this paper, we describe an interface reconstruction method in two dimension. This method is an extension of DPIR [1], which reconstructs continuous interfaces and preserves partial volumes using dynamic programming. First we extend the method to curved interfaces. Then, we present tools to improve its robustness in order to apply it to unstructured grid. Finally, we describe an extension to three materials.
Résumé
Dans cette article nous décrivons une technique de reconstruction d’interfaces en dimension deux. Cette méthode est une extension de DPIR [1]. Elle permet de reconstruire des interfaces continues préservant les volumes de chaque fluide en utilisant un algorithme de programmation dynamique. Dans un premier temps, nous étendons l’algorithme à des interfaces courbes. Puis nous proposons des solutions pour améliorer la robustesse de la méthode dans le but de l’appliquer à des maillages non structurés. Finalement, la méthode est étendue au cas trois matériaux.
© EDP Sciences, SMAI 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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