Dissipative Mechanism in Godunov Method
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This paper analyzes the dissipative mechanism in the Godunov method for the compressible Euler equations, from which a few pathological phenomena are explained, i.e., numerical shock instability and sonic point glitch.
KeywordsShock Front Rarefaction Wave Riemann Solver Numerical Dissipation Riemann Solution
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- J.D. Anderson, Modern Compressible Flowwith historical perspective, McGraw-Hill (1990).Google Scholar
- J. Gressier and J.M. Moschetta, On the Pathological Behavior of Upwind Schemes, AIAA 98–0110 (1998).Google Scholar
- C. Hirsch, Numerical Computation of Internal and External Flows, Vol. 1 and 2, Wiley (1990).Google Scholar
- M.S. Liou, Probing Numerical Fluxes, Positivity, and Entropy-satisfying Property, AIAA 97–2035 (1997).Google Scholar
- J.M. Moschetta and J. Gressier, The Sonic Point Glitch Problems: A Numerical Solution, 16th Int. Conference on Numer. Methods in Fluid Dynamics, Charles-Henri Bruneau (Ed.), pp. 403–408 (1998).Google Scholar
- M. Pandolfi and D. D’ambrosio, Upwind Methods and Carbuncle Phenomenon, Computational Fluid Dynamics 98, 1 (1998), pp. 126–131, 4th ECCOMAS, Athens.Google Scholar
- J. Quirk, A Contribution to the Great Riemann Solver Debate, Int. J. Num. Met. in Fluids, 18 (1994), no.6.Google Scholar
- E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics, 2nd Edition, Springer—Verlag (1999).Google Scholar
- K. Xu, Gas-kinetic Schemes for Unsteady Compressible Flow Simulations, VKI Fluid Dynamics Lecture Series, 1998–03 (1998).Google Scholar
- K. Xu, A Gas-kinetic BGK Scheme for the Navier-Stokes Equations and Its Connection with Artificial Dissipation and Godunov Method, submitted to J. Comput. Phys. (2000).Google Scholar