An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application

doi:10.1016/j.camwa.2010.03.022

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	An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application
	Zhu LD; He GW(何国威); Wang SZ(王士召); Miller L; Zhang X(张星); You Q; Fang SF; Zhu, LD (reprint author), Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
发表期刊	Computers & Mathematics With Applications
	2011
卷号	61 期号:12 页码:3506-3518
ISSN	0898-1221
摘要	The immersed boundary (IB) method originated by Peskin has been popular in modeling and simulating problems involving the interaction of a flexible structure and a viscous incompressible fluid. The Navier-Stokes (N-S) equations in the IB method are usually solved using numerical methods such as FFT and projection methods. Here in our work, the N-S equations are solved by an alternative approach, the lattice Boltzmann method (LBM). Compared to many conventional N-S solvers, the LBM can be easier to implement and more convenient for modeling additional physics in a problem. This alternative approach adds extra versatility to the immersed boundary method. In this paper we discuss the use of a 3D lattice Boltzmann model (D3Q19) within the IB method. We use this hybrid approach to simulate a viscous flow past a flexible sheet tethered at its middle line in a 3D channel and determine a drag scaling law for the sheet. Our main conclusions are: (1) the hybrid method is convergent with first-order accuracy which is consistent with the immersed boundary method in general; (2) the drag of the flexible sheet appears to scale with the inflow speed which is in sharp contrast with the square law for a rigid body in a viscous flow. (C) 2010 Elsevier Ltd. All rights reserved.
关键词	Immersed Boundary Method Lattice Boltzmann Method Fluid-structure Interaction Deformable Body Drag Scaling Computational Fluid Dynamics Incompressible Viscous Flow Fluid-structure Interactions Incompressible Viscous-flow Finite-element-method Level-set Method Elastic Boundaries Moving-boundaries Simulating Fluid Interface Method Nonideal Gases Flexible Fiber
学科领域	Computer Science ; Mathematics
DOI	10.1016/j.camwa.2010.03.022
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000292583300009
关键词[WOS]	FLUID-STRUCTURE INTERACTIONS ; INCOMPRESSIBLE VISCOUS-FLOW ; FINITE-ELEMENT-METHOD ; LEVEL-SET METHOD ; ELASTIC BOUNDARIES ; MOVING-BOUNDARIES ; SIMULATING FLUID ; INTERFACE METHOD ; NONIDEAL GASES ; FLEXIBLE FIBER
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
课题组名称	LNM湍流
论文分区	一类
引用统计	被引频次：108[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/44924
专题	非线性力学国家重点实验室
通讯作者	Zhu, LD (reprint author), Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
推荐引用方式 GB/T 7714	Zhu LD,He GW,Wang SZ,et al. An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application[J]. Computers & Mathematics With Applications,2011,61,12,:3506-3518.
APA	Zhu LD.,何国威.,王士召.,Miller L.,张星.,...&Zhu, LD .(2011).An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application.Computers & Mathematics With Applications,61(12),3506-3518.
MLA	Zhu LD,et al."An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application".Computers & Mathematics With Applications 61.12(2011):3506-3518.

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