Geodesic
Curved interface reconstruction for 2D compressible multi-material flows
Igor Chollet1 ; Giulia Lissoni2 ; Théo Corot3 ; Philippe Hoch3 ; Thomas Leroy3 ; Laurent Dumas4
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
ESAIM. Proceedings, Tome 67 (2020), pp. 178-190.

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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.
DOI : 10.1051/proc/202067011

Igor Chollet 1 ; Giulia Lissoni 2 ; Théo Corot 3 ; Philippe Hoch 3 ; Thomas Leroy 3 ; Laurent Dumas 4

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 
@article{EP_2020_67_a11,
     author = {Igor Chollet and Giulia Lissoni and Th\'eo Corot and Philippe Hoch and Thomas Leroy and Laurent Dumas},
     title = {Curved interface reconstruction for {2D} compressible multi-material flows},
     journal = {ESAIM. Proceedings},
     pages = {178--190},
     publisher = {mathdoc},
     volume = {67},
     year = {2020},
     doi = {10.1051/proc/202067011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202067011/}
}
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Igor Chollet; Giulia Lissoni; Théo Corot; Philippe Hoch; Thomas Leroy; Laurent Dumas. Curved interface reconstruction for 2D compressible multi-material flows. ESAIM. Proceedings, Tome 67 (2020), pp. 178-190. doi : 10.1051/proc/202067011. http://geodesic.mathdoc.fr/articles/10.1051/proc/202067011/

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