Variants of relaxed schemes and two-dimensional gas dynamics

Authors:
Mapundi K. Banda
Affiliations:
Fachbereich Mathematik, Schlossgartenstr. 7, 64289 Darmstadt, Germany
Venue:
ICCMSE '03 Proceedings of the international conference on Computational methods in sciences and engineering
Year:
2003

Citing 4
Cited 0

Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws

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Two-dimensional Riemann solver for Euler equations of gas dynamics

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Strong Stability-Preserving High-Order Time Discretization Methods

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High Resolution Relaxed Upwind Schemes in Gas Dynamics

Journal of Scientific Computing

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Abstract

We present a relaxed scheme with more precise information about local speeds of propagation and a multidimensional construction of the cell averages. Hence the physical domain of dependence is simulated correctly and high resolution is maintained by a genuinely multidimensional piecewise nonoscillatory reconstruction. Relaxation schemes have advantages that include high resolution, simplicity and explicitly no (approximate) Riemann solvers and characteristic decomposition is necessary. Performance of the scheme is illustrated by tests on two-dimensional Euler equations of gas dynamics.