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Adaptive multiresolution for finite volume solutions of gas dynamics. (English) Zbl 1009.76520
Summary: Multiresolution analysis is used to improve the CPU and memory performance of a finite volume scheme. Departing from Harten’s original scheme we present a fully adaptive scheme in the sense that at a given time, the solution is represented in a compressed form by a set of significant wavelet coefficients. Numerical benchmarks for Euler’s system of compressible gas dynamics are performed on triangular meshes.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics, general
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