Experimenting with the p4est library for AMR simulations of two-phase flows
ESAIM. Proceedings, Tome 53 (2016), pp. 232-247.

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Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high level of resolution is used in the appropriate areas while keeping a coarse mesh elsewhere. This idea allows to save time and computations, but represents a challenge for distributed-memory environments. The MARS project (for Multiphase Adaptative Refinement Solver) intends to assess the parallel library p4est for adaptive mesh, in a case of a finite volume scheme applied to two-phase flows. Besides testing the library’s performances, particularly for load balancing, its user-friendliness in use and implementation are also exhibited here. First promising 3D simulations are even presented.
DOI : 10.1051/proc/201653014

Florence Drui 1, 2 ; Alexandru Fikl 2 ; Pierre Kestener 2 ; Samuel Kokh 2, 3 ; Adam Larat 1, 4 ; Vincent Le Chenadec 1 ; Marc Massot 1, 4

1 Laboratoire EM2C, CNRS UPR 288 et cole Centrale Paris, Grande Voie des Vignes, 92295 Chtenay-Malabry Cdex
2 Maison de la Simulation, CNRS USR 1441, Bat. 565 - Digito, CEA Saclay, 91191 Gif-sur-Yvette
3 CEA/DEN/DANS/DM2S/STMF, CEA Saclay, 91191 Gif-sur-Yvette
4 Fdration de Mathmatiques de l’cole Centrale Paris, CNRS FR 3487, Grande Voie des Vignes, 92295 Chtenay-Malabry Cdex
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     author = {Florence Drui and Alexandru Fikl and Pierre Kestener and Samuel Kokh and Adam Larat and Vincent Le Chenadec and Marc Massot},
     title = {Experimenting with the p4est library for {AMR} simulations of two-phase flows},
     journal = {ESAIM. Proceedings},
     pages = {232--247},
     publisher = {mathdoc},
     volume = {53},
     year = {2016},
     doi = {10.1051/proc/201653014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201653014/}
}
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Florence Drui; Alexandru Fikl; Pierre Kestener; Samuel Kokh; Adam Larat; Vincent Le Chenadec; Marc Massot. Experimenting with the p4est library for AMR simulations of two-phase flows. ESAIM. Proceedings, Tome 53 (2016), pp. 232-247. doi : 10.1051/proc/201653014. http://geodesic.mathdoc.fr/articles/10.1051/proc/201653014/

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