Geodesic
Tutorials on Adaptive multiresolution for mesh refinement applied to fluid dynamics and reactive media problems
Christian Tenaud1 ; Max Duarte2
1 LIMSI - CNRS UPR 3251, Campus Universitaire, Bât. 508, rue John Von Neumann, 91403 Orsay Cedex, France
2 Laboratoire EM2C - CNRS UPR 288, École Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry Cedex, France
ESAIM. Proceedings, Tome 34 (2011), pp. 184-239 Cet article a éte moissonné depuis la source EDP Sciences

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This work aims at evaluating in practical situations the capability of the mesh refinement technique based on the multiresolution adaptive method coupled with high resolution spatial and temporal approximations, to recover elementary physical mechanisms by achieving gains in both CPU time and memory use compared to single grid computations. We first present a summary of the multiresolution procedure. We then describe MR algorithms. Finally, the evaluation of the method is presented on several well known numerical test cases in 1D and multi-D configurations.
DOI : 10.1051/proc/201134004

Christian Tenaud 1 ; Max Duarte 2

1 LIMSI - CNRS UPR 3251, Campus Universitaire, Bât. 508, rue John Von Neumann, 91403 Orsay Cedex, France
2 Laboratoire EM2C - CNRS UPR 288, École Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry Cedex, France 
@article{EP_2011_34_a4,
     author = {Christian Tenaud and Max Duarte},
     title = {Tutorials on {Adaptive} multiresolution for mesh refinement applied to fluid dynamics and reactive media problems},
     journal = {ESAIM. Proceedings},
     pages = {184--239},
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     volume = {34},
     doi = {10.1051/proc/201134004},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201134004/}
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Christian Tenaud; Max Duarte. Tutorials on Adaptive multiresolution for mesh refinement applied to fluid dynamics and reactive media problems. ESAIM. Proceedings, Tome 34 (2011), pp. 184-239. doi: 10.1051/proc/201134004

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