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A three dimensional implicit immersed boundary method with application

A three dimensional implicit immersed boundary method with application
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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. 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.
出处 《Theoretical & Applied Mechanics Letters》 CAS 2011年第6期22-25,共4页 力学快报(英文版)
基金 supported by the US National Science Foundation (DMS-0713718)
关键词 immersed boundary method lattice-Boltzmann method implicit schemes fluid-structure-interaction bi-stability flag-in-wind immersed boundary method, lattice-Boltzmann method, implicit schemes, fluid-structure-interaction, bi-stability, flag-in-wind
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