Geodesic
Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application
Ralf Deiterding1
1 Oak Ridge National Laboratory, P.O. Box 2008 MS-6367, Oak Ridge, TN 37831, USA
ESAIM. Proceedings, Tome 34 (2011), pp. 97-150.

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Structured adaptive mesh refinement (SAMR) techniques can enable cutting-edge simulations of problems governed by conservation laws. Focusing on the strictly hyperbolic case, these notes explain all algorithmic and mathematical details of a technically relevant implementation tailored for distributed memory computers. An overview of the background of commonly used finite volume discretizations for gas dynamics is included and typical benchmarks to quantify accuracy and performance of the dynamically adaptive code are discussed. Large-scale simulations of shock-induced realistic combustion in non-Cartesian geometry and shock-driven fluid-structure interaction with fully coupled dynamic boundary motion demonstrate the applicability of the discussed techniques for complex scenarios.
DOI : 10.1051/proc/201134002

Ralf Deiterding 1

1 Oak Ridge National Laboratory, P.O. Box 2008 MS-6367, Oak Ridge, TN 37831, USA 
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Ralf Deiterding. Block-structured Adaptive Mesh Refinement - Theory, Implementation and Application. ESAIM. Proceedings, Tome 34 (2011), pp. 97-150. doi : 10.1051/proc/201134002. http://geodesic.mathdoc.fr/articles/10.1051/proc/201134002/

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