| 大密度比和大压力比可压缩流的数值计算 |
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| 引用本文： | 陈荣三. 大密度比和大压力比可压缩流的数值计算[J]. 应用数学和力学, 2008, 29(5): 609-617. DOI: 10.3879/j.issn.1000-0887.2008.05.011 |
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| 作者姓名： | 陈荣三 |
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| 作者单位： | 上海大学 数学系,上海 200444 |
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| 摘 要： | 将WENO方法、RKDG方法、RKDG方法结合原来的Ghost Fluid方法以及RKDG方法结合改进的Ghost Fluid方法，应用到大密度比和大压力比的单相流以及气-气、气-液两相流的数值计算，并对计算结果进行了比较分析．结果表明,与其它的方法相比,RKDG方法结合改进的Ghost Fluid方法得到了高分辨率的计算结果,可以捕捉到正确的激波位置,随着网格的加密,计算解收敛到物理解．
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| 关 键 词： | 改进的Ghost Fluid方法 大密度比 大压力比 RKDG有限元方法 |
| 文章编号： | 1000-0887(2008)05-0609-09 |
| 收稿时间： | 2007-10-31 |
| 修稿时间： | 2007-10-31 |
Computation of Compressible Flows With High Density Ratio and Pressure Ratio |
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| CHEN Rong-san. Computation of Compressible Flows With High Density Ratio and Pressure Ratio[J]. Applied Mathematics and Mechanics, 2008, 29(5): 609-617. DOI: 10.3879/j.issn.1000-0887.2008.05.011 |
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| Authors: | CHEN Rong-san |
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| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | WENO method,RKDG method,RKDG method with original Ghost Fluid method and RKDG method with modified Ghost Fluid method were applied to single-medium and two-medium air-air,air-liquild compressible flow with high density and pressure ratios.Numerical comparison and analysis for the methods above were given.Numerical results show that,compared with the other methods,RKDG method with modified Ghost Fluid method can obtain high resolution and the correct position of the shock,the computed solutions are converge to physical solutions as the mesh refined. |
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