Volume 31 Issue 5
Nov 2017
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QIAO Wei, ZHAO Feng. Moving Meshes of One Dimensional Slab Symmetry Shock Waves[J]. Chinese Journal of High Pressure Physics, 2017, 31(5): 613-618. doi: 10.11858/gywlxb.2017.05.015
Citation: QIAO Wei, ZHAO Feng. Moving Meshes of One Dimensional Slab Symmetry Shock Waves[J]. Chinese Journal of High Pressure Physics, 2017, 31(5): 613-618. doi: 10.11858/gywlxb.2017.05.015

Moving Meshes of One Dimensional Slab Symmetry Shock Waves

doi: 10.11858/gywlxb.2017.05.015
  • Received Date: 28 Dec 2016
  • Rev Recd Date: 20 Jan 2017
  • Recently, the moving mesh method has received plenty of attention in the numerical computation areas owing to its capability to improve effectively the calculation precision on the shock waveplane.This paper describes a moving mesh method that simulates the shock wave's propagation in condensed matter based on the variation principle.The generation of the moving meshes consists of the iterative computation of the Euler-Lagrange equation and the governing equation's mapping from the physical plane to the computational plane.We have studied the effect of computational efficiency using different iterative methods.Finally, the numerical results show the validity of the arithmetic.

     

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  • [1]
    TANG H, TANG T.Adaptive mesh methods for one- and two-dimensional hyperbolic conservation laws [J].Siam J Numer Anal, 2003, 41(2):487-515. doi: 10.1137/S003614290138437X
    [2]
    安德森·J D.计算流体力学基础及其应用[M].吴颂平, 刘赵森, 译.北京: 机械工业出版社, 2007: 139-148.

    ANDERSON J D.Computational fluid mechanics [M].Translated by WU S P, LIU Z S.Beijing: China Machine PRESS, 2007: 139-148.
    [3]
    SEMPLICE M, COCO A, RUSSO G.Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction[J].J Sci Comput, 2016, 66(2):692-724. doi: 10.1007/s10915-015-0038-z
    [4]
    VALORANI M, GIACINTO M D.Performance assessment of an adaptive mesh refinement technique for detonation waves[C]//NAPOLITANO M, SABETTA F.Thirteenth International Conference on Numerical Methods in Fluid Dynamics.Berlin: Springer-Verlag Berlin Heidelberg, 1993: 300-304.
    [5]
    FRYXELL B, OLSON K, RICKER P, et al.FLASH:an adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes[J].Astrophys J Suppl, 2000, 131(1):273-334. doi: 10.1086/apjs.2000.131.issue-1
    [6]
    孙承纬.一维冲击波和爆轰波计算程序SSS[J].计算物理, 1986(2):18-30. http://www.cnki.com.cn/Article/CJFDTOTAL-JSWL198602001.htm

    SUN C W.Computational program SSS of one dimensional shock and detonation waves[J].Chinese Journal of Computational Physics, 1986(2):18-30. http://www.cnki.com.cn/Article/CJFDTOTAL-JSWL198602001.htm
    [7]
    忻孝康, 朱士灿, 张慧生.一维Burgers方程的各种差分格式研究[J].上海力学, 1980(1):65-84. http://cdmd.cnki.com.cn/Article/CDMD-10459-1017129064.htm

    XIN X K, ZHU S C, ZHANG H S.A study of various finite difference schemes for Burgers' equation [J].Shanghai Mechanics, 1980(1):65-84. http://cdmd.cnki.com.cn/Article/CDMD-10459-1017129064.htm
    [8]
    WINSLOW A M.Numerical solution of the quasilinear Poisson equation [J].J Comput Phys, 1966, 1(2):149-172. doi: 10.1016/0021-9991(66)90001-5
    [9]
    BRACKBILL J U, SALTZMAN J S.Adaptive zoning for singular problems in two dimensions[J].J Comput Phys, 1982, 46(3):342-368. doi: 10.1016/0021-9991(82)90020-1
    [10]
    陈国贤, 汤华中, 张平文.移动网格上的二阶Godunov型格式在一维爆轰波模拟中的应用[C]//刘凯欣.计算爆炸力学进展.2006: 73-79.

    CHEN G X, TANG H Z, ZHANG P W.The simulation of one dimensional detonation waves based on second-order Godunov-type scheme on moving meshes[C]//LIU K X.Advances in Computational Explosion Mechanics.2006: 73-79.
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