Gas Evolution Dynamics and Numerical Dissipation in Shock Capturing
Kun Xu and Zuowu Li
This paper concerns the gas evolution dynamics in exact and approximate
Riemann solvers, e.g. the Flux Vector Splitting (FVS) and the Godunov method.
The dissipative mechanism in different gas evolution models will be analyzed.
Many test cases are used to support the physical argument. The numerical
examples include shock structure, laminar boundary layer, and 2D shock tube
calculations. From the boundary layer case, the first order dissipative
mechanism in the so-called second-order MUSCL-type FVS scheme is
quantitatively evaluated. Also, the physical reason for
shock instability in the Godunov method, i.e. carbuncle phenomena and odd-even
decoupling, is presented.
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- Kun Xu,
- Zuowu Li
- Publishing information:
- submitted to Journal of Computational Physics, May 1999.
- This manuscript is a revised version of the paper 1998-025, submitted
- Submitted by:
October 5 1999.
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