大密度比和大压力比可压缩流的数值计算

陈荣三

大密度比和大压力比可压缩流的数值计算

陈荣三

上海大学数学系,上海 200444

基金项目: 国家自然科学基金资助项目(10671120)

详细信息

作者简介:
陈荣三(1979- ),男,湖北人,博士生(Tel:+86-21-66743259;E-mail:rschen@yahoo.cn).

中图分类号: O35；O175.27
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- 被引次数: 0
出版历程
- 收稿日期: 2007-10-31
- 修回日期: 2008-04-14
- 刊出日期: 2008-05-15

Computation of Compressible Flows With High Density Ratio and Pressure Ratio

CHEN Rong-san

Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China

摘要

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．
- 改进的Ghost Fluid方法 /
- 大密度比 /
- 大压力比 /
- RKDG有限元方法
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.
- modified Ghost Fluid method /
- high density ratio /
- high pressure ratio /
- RKDG finite element method

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参考文献(16)

[1]	Reed W H,Hill T R.Triangular mesh methods for the neutron transport equation[R]. Los Alamos Scienfic Laboratory Report LA-UR,1973，73-479.
[2]	LeSaint P,Raviart P A.On a finite element methods for solving the neutron transport equation[A].de Boor C,Ed.Mathematical Aspects of Finite Elements in Partial Differential Equations[C].New York:Academic Press,1974,89-145.
[3]	Cockburn B,Gremaud P-A.A prior error estimates for numerical methods for scalar conservation laws—Part Ⅰ:The general approach[J].Math Comp,1996,65(214): 533-573. doi: 10.1090/S0025-5718-96-00701-6
[4]	Cockburn B,Shu C-W.TVB Runge-Kutta local projecting discontinuous Galerkin finite element methods for conservation laws—Ⅱ:General framework[J].Math Comp,1989,52(186):411-435.
[5]	Cockburn B,Lin S-Y,Shu C-W.TVB Runge-Kutta local projecting discontinuous Galerkin finite element methods for conservation laws—Ⅲ:One dimensional systems[J].J Comput Phys,1989,84(1):90-113. doi: 10.1016/0021-9991(89)90183-6
[6]	Cockburn B,Hou S,Shu C-W.TVB Runge-Kutta local projecting discontinuous Galerkin finite element methods for conservation laws Ⅳ:The multidimensional case[J].Math Comp,1990,54(190):541-581.
[7]	Cockburn B,Shu C-W.TVB Runge-Kutta local projecting discontinuous Galerkin finite element methods for conservation laws—Ⅴ:Multidimensional systems[J].J Comput Phys,1998,141(2):199-224. doi: 10.1006/jcph.1998.5892
[8]	Hirt C W,Nichols B D.Volume of fluid(VOF) method for the dynamics of free boundary[J].J Comput Phys,1981,39(1):201-225. doi: 10.1016/0021-9991(81)90145-5
[9]	Mulder W,Osher S,Sethian J A.Computing interface motion in compressible gas dynamics[J]. J Comput Phys,1992,100(2):209-228. doi: 10.1016/0021-9991(92)90229-R
[10]	Marshall G.A front tracking method for one-dimensional moving boundary problems[J].SIAM J Sci Compt,1986,7(1): 252-263. doi: 10.1137/0907017
[11]	Fedkiw R P,Aslam T,Merriman B,et al.A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the Ghost Fluid Method)[J].J Comput Phys,1999,152(2):457-492. doi: 10.1006/jcph.1999.6236
[12]	Liu T G,Khoo B C,Yeo K S.Ghost fluid method for strong shock-impacting on material interface[J].J Comput Phys,2003,190(2):651-681. doi: 10.1016/S0021-9991(03)00301-2
[13]	陈荣三，蔚喜军.一维多介质可压缩流的高精度RKDG有限元方法[J].计算物理,2006,23(1):43-49.
[14]	Tang H Z,Liu T G.A note on the conservative schemes for the Euler equations[J].J Comput Phys,2006,218(2):451-459. doi: 10.1016/j.jcp.2006.03.035
[15]	Osher S,Fedkiw R.Level Set Methods and Dynamic Implicit Surfaces[M].New York:Springer, 2003.
[16]	刘儒勋，刘晓平,张磊，等.运动界面的追踪和重构方法[J].应用数学和力学, 2004,25(3): 279-290.