A three dimensional implicit immersed boundary method with application

被引：0
作者：
Jian Hao1
机构：
来源：
Theoretical & Applied Mechanics Letters | 2011年 / 1卷 / 06期
基金：
美国国家科学基金会;
关键词：
immersed boundary method; lattice-Boltzmann method; implicit schemes; fluid-structure-interaction; bi-stability; flag-in-wind;
D O I：
暂无
中图分类号：
O357.1 [不可压缩粘性流体力学];
学科分类号：
080103 ; 080704 ;
摘要：
Most algorithms of the immersed boundary method originated by Peskin are explicit when it comes to the computation of the elastic forces exerted by the immersed boundary to the fluid. A drawback of such an explicit approach is a severe restriction on the time step size for maintaining numerical stability. An implicit immersed boundary method in two dimensions using the lattice Boltzmann approach has been proposed. This paper reports an extension of the method to three dimensions and its application to simulation of a massive flexible sheet interacting with an incompressible viscous flow.
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收藏
页码：22 / 25
页数：4
相关论文
共 27 条
  • [1] K. Taira,T. Colonius. Journal of Computational Physics . 2007
  • [2] AC Hindmarsh,PN Brown,KE Grant,SL Lee,R Serban,DE Shumaker,CS Woodward.SUNDIALS: suite of nonlinear and differential/algebraic equation solvers. ACM Transactions on Mathematical Software . 2005
  • [3] Z. G. Feng,E. E. Michaelides. Journal of Computational Physics . 2005
  • [4] Tu C,Peskin C S.Stability and instability in the computation of flows with moving immersed boundaries:a comparison of three methods. SIAM Journal on Scientific and Statistical Computing . 1992
  • [5] Stockie J M,Wetton B R.Analysis of stiffness in the immersed boundary method and implica-tions for time-stepping schemes. Journal of Computational Physics . 1999
  • [6] L. Zhu,C. S. Peskin. Journal of Computational Physics . 2002
  • [7] T. Y. Hou,Z. Shi. Journal of Computational Physics . 2008
  • [8] L. J. Fauci,A. L. Fogelson. Communications in Pure Applied Mathematics . 1993
  • [9] L. Zhu. Journal of Fluid Mechanics . 2009
  • [10] Zhu,L.,Peskin,C.S.Interactions of two filaments in a flowing soap film. The Physics of Fluids . 2003
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