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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 673-682 .doi: https://doi.org/10.1007/s10483-008-0511-y

• Articles • 上一篇    下一篇

大密度比和大压力比可压缩流的数值计算

陈荣三   

  1. 上海大学数学系， 上海 200444
  • 收稿日期:2007-08-31 修回日期:2008-04-14 出版日期:2008-05-18 发布日期:2008-05-18
  • 通讯作者: 陈荣三

Computation of compressible flows with high density ratio and pressure ratio

CHEN Rong-san   

  1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China
  • Received:2007-08-31 Revised:2008-04-14 Online:2008-05-18 Published:2008-05-18
  • Contact: CHEN Rong-san

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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，而已捕捉到正确的激波位置，随着网络的加密，计算解收敛到物理解。

Abstract: The WENO method, RKDG method, RKDG method with original ghost fluid method, and RKDG method with modified ghost fluid method are applied to single-medium and two-medium air-air, air-liquid compressible flows with high density and pressure ratios. We also provide a numerical comparison and analysis for the above methods. Numerical results show that, compared with the other methods, the RKDG method with modified ghost fluid method can obtain high resolution results and the correct position of the shock, and the computed solutions are converged to the physical solutions as the mesh is refined.

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