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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 Source Publication Computers & Mathematics With Applications 2011 Volume 61Issue:12Pages:3506-3518 ISSN 0898-1221 Abstract 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. Keyword 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 Subject Area Computer Science ; Mathematics DOI 10.1016/j.camwa.2010.03.022 URL 查看原文 Indexed By SCI ; EI Language 英语 WOS ID WOS:000292583300009 WOS Keyword 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 Research Area Mathematics WOS Subject Mathematics, Applied Department LNM湍流 Classification 一类 Citation statistics Cited Times:68[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://dspace.imech.ac.cn/handle/311007/44924 Collection 非线性力学国家重点实验室 Corresponding Author Zhu, LD (reprint author), Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA Recommended CitationGB/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.