用守恒型间断跟踪法数值模拟Richtmyer-Meshkov不稳定现象

M·A·乌拉; 高文斌; 茅德康

doi:10.3879/j.issn.1000-0887.2011.01.012

用守恒型间断跟踪法数值模拟Richtmyer-Meshkov不稳定现象

doi: 10.3879/j.issn.1000-0887.2011.01.012

1.
上海大学数学系,上海 200444;2.吉大港大学数学系,吉大港 4331,孟加拉共和国

基金项目: 国家自然科学基金资助项目(10971132);上海浦江计划基金资助项目([2006]118)

详细信息

作者简介:
M. A. Ullah(1975- ),男,讲师,博士(E-mail:amancubd@yahoo.com);高文斌(1984- ),男,硕士生(E-mail:gusker@hotmail.com);茅德康(1946- ),男,教授(联系人.Tel:+86-21-66134464;E-mail:dkmao@staff.shu.edu.cn).

中图分类号: O242.1;O35
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出版历程
- 收稿日期: 2010-08-17
- 修回日期: 2010-12-06
- 刊出日期: 2011-01-15

Numerical Simulations of Richtmyer-Meshkov Instability Using Conservative Front-Tracking Method

1.
Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;

摘要

摘要: 使用茅德康所建立的守恒型间断跟踪法,数值模拟了两个关于Richtmyer-Meshkov不稳定性现象的物理实验，并且将数值模拟结果与Holmes等人在文中所获得的结果进行了比较．该文的结果与Holmes等人所得到的结果在总体上有较好的一致性．该文的数值模拟也捕捉到了非线性的压缩现象，即穿越波和反射波相互作用所产生的现象，Holmes等人指出其是导致介质界面减速的原因．但是所得到的扰动振幅和扰动增长率比Holmes等人所得到的结果略大一些．
- Richtmyer-Meshkov不稳定性现象 /
- 守恒型跟踪法 /
- 扰动振幅 /
- 扰动增长率
Abstract: Numerical simulations of two Richtmyer-Meshkov(RM)instability experiments were presented using the conservative front tracking method developed in[Mao D.J Comput Phys,2007,226(2): 1550-1588],and compare them with that obtained in[Holmes R L,et al.J Fluid Mech,1995,301: 51-64].The simulations are generally in good agreement with that of Holmes et al.The simulations also captured the nonlinear and compressive phenomena,the self-interactions of the transmitted and reflected wave edges,which was pointed out in Holmes et al's work as the cause of the deceleration of the interfaces.However,the perturbation amplitudes and amplitude growth rates of the interfaces obtained with our conservative front-tracking method are a bit larger than that obtained by Holmes et al.
- Richtmyer-Meshkov instability /
- conservative front-tracking /
- perturbation amplitude /
- amplitude growth rate

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参考文献(20)

[1]	Richtmyer R D.Taylor instability in shock acceleration of compressible fluids[J].Comm Pure Appl Math, 1960, 13(2): 297-319. doi: 10.1002/cpa.3160130207
[2]	Meshkov E E.Instability of a shock wave accelerated interface between two gases[J].NASA Tech Trans, 1970, F-13: 074.
[3]	Benjamin R, Besnard D, Haas J. Shock and reshock of an unstable interface[R]. LANL Rep Los Alamos National Laboratory, 1993, LA-UR 92-1185.
[4]	Cloutman L D, Wehner M F. Numerical simulation of Richtmyer-Meshkov instabilities[J]. Phys Fluids A, 1992, 4(8): 1821-1830.
[5]	Meyer K A, Blewett P J.Numerical investigation of the stability of a shock-accelerated interface between two fluids[J].Phys Fluids, 1972, 15(5): 753-759. doi: 10.1063/1.1693980
[6]	Holmes R L.A numerical investigation of the Richtmyer-Meshkov instability using front-tracking[D].Ph D Thesis. Stony Broke, USA: State University of New York, 1994.
[7]	Holmes R L, Grove J W, Sharp D H.Numerical investigation of Richtmyer-Meshkov instability using front-tracking[J].J Fluid Mech, 1995, 301: 51-64. doi: 10.1017/S002211209500379X
[8]	Chern I-L, Glimm J, McBryan O, Plohr B, Yaniv S.Front tracking for gas dynamics[J]. J Comput Phys, 1998, 62(1): 83-110.
[9]	Glimm J, Li X L, Liu Y J, Xu Z L, Zhao N. Conservative front-tracking with improved accuracy[J]. SIAM J Numer Anal, 2003, 41(5): 1926-1947. doi: 10.1137/S0036142901388627
[10]	Glimm J, Graham M J, Grove J, Li X L, Smith T M, Tan D, Tangerman F, Zhang Q. Front tracking in two and three dimensions[J]. Comput Math Appl, 1998, 35(7): 1-11.
[11]	Holmes R L, Dimonte G, Fryxell B, Gittings M L, Grove J W, Schneider M, Sharp D H, Velikovich A L,Weaver R P, Zhang Q.Richtmyer-Meshkov instability growth: experiment, simulation and theory[J].J Fluid Mech, 1999, 389: 55-79. doi: 10.1017/S0022112099004838
[12]	Howell B P, Ball G J.Damping of mesh-induced errors in free-Lagrange simulations of Richtmyer-Meshkov instability[J].Shock Waves, 2000, 10(4): 253-264. doi: 10.1007/s001930000055
[13]	Li X L, Zhang Q.A comparative numerical study of the Richtmyer-Meshkov instability with nonlinear anaylsis in two and three dimensions[J].Phys Fluids, 1997, 9(10): 3069-3077. doi: 10.1063/1.869415
[14]	MAO De-kang. Towards front-tracking based on conservation in two space dimensions Ⅱ, tracking discontinuities in capturing fashion[J].J Comput Phys, 2007, 226(2): 1550-1588. doi: 10.1016/j.jcp.2007.06.004
[15]	MAO De-kang. Towards front tracking based on conservation in two space dimensions[J].SIAM J Sci Comput, 2000, 22(1): 113-151. doi: 10.1137/S1064827597310609
[16]	JIANG Guang-shan, SHU Chi-wang. Efficient implementation of weighted ENO schemes[J].J Comput Phys, 1996, 126(1): 202-228. doi: 10.1006/jcph.1996.0130
[17]	LeVeque R J.Finite Volume Methods for Hyperbolic Problems[M].Britain: Press Syndicate of the University of Cambridge, 2002.
[18]	LeVeque R J. Numerical Methods for Conservation Laws[M].Basel, Boston, Berlin: Birkhauser-Verlag, 1990.
[19]	Lax P D, Wendroff B. Systems of conservation laws[J].Comm Pure Appl Math, 1960, 13: 217-237. doi: 10.1002/cpa.3160130205
[20]	Hecht J, Alon U, Shvarts D.Potential flow model of Rayleigh-Taylor and Richtmyer-Meshkov bubble fronts[J].Phys Fluids, 1994, 6(12): 4019-4030. doi: 10.1063/1.868391

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用守恒型间断跟踪法数值模拟Richtmyer-Meshkov不稳定现象

doi: 10.3879/j.issn.1000-0887.2011.01.012

作者简介:
M. A. Ullah(1975- ),男,讲师,博士(E-mail:amancubd@yahoo.com);高文斌(1984- ),男,硕士生(E-mail:gusker@hotmail.com);茅德康(1946- ),男,教授(联系人.Tel:+86-21-66134464;E-mail:dkmao@staff.shu.edu.cn).

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Numerical Simulations of Richtmyer-Meshkov Instability Using Conservative Front-Tracking Method

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留言板

用守恒型间断跟踪法数值模拟Richtmyer-Meshkov不稳定现象

doi: 10.3879/j.issn.1000-0887.2011.01.012

作者简介: M. A. Ullah(1975- ),男,讲师,博士(E-mail:amancubd@yahoo.com);高文斌(1984- ),男,硕士生(E-mail:gusker@hotmail.com);茅德康(1946- ),男,教授(联系人.Tel:+86-21-66134464;E-mail:dkmao@staff.shu.edu.cn).

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出版历程

Numerical Simulations of Richtmyer-Meshkov Instability Using Conservative Front-Tracking Method

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出版历程

目录

作者简介:
M. A. Ullah(1975- ),男,讲师,博士(E-mail:amancubd@yahoo.com);高文斌(1984- ),男,硕士生(E-mail:gusker@hotmail.com);茅德康(1946- ),男,教授(联系人.Tel:+86-21-66134464;E-mail:dkmao@staff.shu.edu.cn).