Second-order unsplit Godunov scheme for two- and three-dimensional Euler equations
- Univ. of Minnesota, Minneapolis, MN (United States)
A second-order finite difference scheme is presented in this paper for two- and three-dimensional Euler equations. The scheme is based on nondirectionally split and single-step Eulerian formulations of Godunov approach. A new approach is proposed for constructing effective left and right states of Riemann problems arising from interfaces of one-, two-, and three-dimensional numerical grids. The Riemann problems are solved through an approximate solver in order to calculate a set of time-averaged fluxes needed in the scheme. The scheme is tested through numerical examples involving strong shocks. It is shown that the scheme offers the principle advantages of a second order Godunov scheme: robust operation in the presence of strong waves and thin shock fronts. 27 refs., 21 figs.
- DOE Contract Number:
- FG02-87ER25035
- OSTI ID:
- 569738
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 134; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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