The numerical simulation of two-dimensional fluid flow with strong shocks. (English) Zbl 0573.76057

Woodward, Paul; Colella, Phillip

J. Comput. Phys. 54, 115-173 (1984).

The paper presents a comparison of numerical methods for simulating hydrodynamics - two-dimensional fluid flow with strong shocks. A substantial entropy production is defined as ”strong shocks”. In the case of shocks in air, Mach numbers of three and greater are used in the paper. The flow discontinuities that result due to strong shocks are treated using three approaches - artificial viscosity, blending of low- and high-order-accurate fluxes, and the use of nonlinear solutions to Riemann’s problem. Three test problems are used to illustrate the advantages and disadvantages of each approach. The paper restricts itself to the case of uniform, square computational zones in Cartesian coordinates.

Reviewer: S.Sankar

MSC:

76L05	Shock waves and blast waves in fluid mechanics
76M99	Basic methods in fluid mechanics

Keywords:

simulation; comparison of numerical methods; two-dimensional fluid flow with strong shocks; entropy production; discontinuities; artificial viscosity; blending of low- and high-order-accurate fluxes; nonlinear solutions to Riemann’s problem; uniform, square computational zones in Cartesian coordinates

Software:

KRAKEN

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