Adaptive Multiresolution or Adaptive Mesh Refinement? A Case Study for 2D Euler Equations

Conference · Thu Jan 01 00:00:00 EST 2009

OSTI ID:969012

Deiterding, Ralf ^[1]; Domingues, Margarete O. ^[2]; Gomes, Sonia M. ^[3]; Roussel, Olivier ^[4]; Schneider, Kai ^[4]

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1. ORNL
2. Laboratorio Associado de Computacao e Matematica Aplicada (LAC), Sao Paulo
3. Universidade Estadual de Campinas, Sao Paulo
4. Universite d'Aix-Marseille

We present adaptive multiresolution (MR) computations of the two-dimensional compressible Euler equations for a classical Riemann problem. The results are then compared with respect to accuracy and computational efficiency, in terms of CPU time and memory requirements, with the corresponding finite volume scheme on a regular grid. For the same test-case, we also perform computations using adaptive mesh refinement (AMR) imposing similar accuracy requirements. The results thus obtained are compared in terms of computational overhead and compression of the computational grid, using in addition either local or global time stepping strategies. We preliminarily conclude that the multiresolution techniques yield improved memory compression and gain in CPU time with respect to the adaptive mesh refinement method.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 969012
• Resource Relation: Conference: Multiresolution and Adaptive Methods for Convection-Dominated Problems, Paris, France, 20090122, 20090123
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ADAPTIVE SYSTEMS
MESH GENERATION
RESOLUTION
TWO-DIMENSIONAL CALCULATIONS
ACCURACY
EFFICIENCY
COMPUTER CALCULATIONS
MEMORY MANAGEMENT