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| Group velocity control scheme and two-dimensional riemann solver |
| Revised:March 13, 2003 |
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| DOI：10.7511/jslx20051022 |
| KeyWord:compact scheme,group velocity control,two-dimensional riemann problem |
| TIAN Bao-lin FU De-xun~* MA Yan-wen |
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| Abstract: |
| It is a challenging work to simulate flows with strong shock waves and contact discontinuities in the field of computational fluid dynamics, which are the basic elements of many practical flows. The 3~(rd) order upwind compact scheme is of the character of high precision and high resolution, but numerical oscillations occurs when it is used to simulate shock waves. In this paper, according to the characters of group velocity, one group velocity control (GVC) scheme was constructed based on the 3~(rd) order upwind compact scheme, which can simulate the complex flows with strong shock waves and contact discontinuities correctly. Based on the GVC scheme, a numerical solver was constructed to simulate two-dimensional interface problems of high pressure and density ratio. Numerical results show that it is an effective method to identify shock waves and contact discontinuities. |
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