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Software for the parallel adaptive solution of conservation laws by discontinuous Galerkin methods. (English) Zbl 0946.65089
Cockburn, Bernardo (ed.) et al., Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24-26, 1999. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 11, 113-123 (2000).
Summary: We develop software tools for the solution of conservation laws using parallel adaptive discontinuous Galerkin methods. In particular, the Rensselaer partition model (RPM) provides parallel mesh structures within an adaptive framework to solve the Euler equations of compressible flow by a discontinuous Galerkin method (LOCO). Results are presented for a Rayleigh-Taylor flow instability for computations performed on 128 processors of an IBM SP computer. In addition to managing the distributed data and maintaining a load balance, RPM provides information about the parallel environment that can be used to tailor partitions to a specific computational environment.
For the entire collection see [Zbl 0935.00043].

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
76E09 Stability and instability of nonparallel flows in hydrodynamic stability
76M10 Finite element methods applied to problems in fluid mechanics
35L65 Hyperbolic conservation laws
65Y05 Parallel numerical computation
35-04 Software, source code, etc. for problems pertaining to partial differential equations
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