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A three dimensional implicit immersed boundary method with application

被引：4
|
作者：
Hao, Jian [1 ,2 ,3 ,4 ]
Zhu, Luoding [1 ,2 ]
机构：
[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
[2] Indiana Univ Purdue Univ, Ctr Math Biosci, Indianapolis, IN 46202 USA
[3] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[4] North Carolina State Univ, Ctr Res Sci Computat, Raleigh, NC 27695 USA
来源：
THEORETICAL AND 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：
10.1063/2.1106202
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
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. (C) 2011 The Chinese Society of Theoretical and Applied Mechanics.
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页数：4
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