An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application
文献类型：期刊论文
| 作者 | Zhu LD; He GW(何国威) ; Wang SZ(王士召); Miller L; Zhang X(张星); You Q; Fang SF
|
| 刊名 | Computers & Mathematics With Applications
 |
| 出版日期 | 2011 |
| 卷号 | 61期号:12页码:3506-3518 |
| 通讯作者邮箱 | lzhu@math.iupui.edu |
| 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 |
| ISSN号 | 0898-1221 |
| 产权排序 | [Zhu, Luoding] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA; [He, Guowei; Wang, Shizhao; Zhang, Xing] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 10088, Peoples R China; [Miller, Laura] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA; [You, Qian; Fang, Shiaofen] Indiana Univ Purdue Univ, Dept Comp Sci, Indianapolis, IN 46202 USA |
| 通讯作者 | Zhu, LD (reprint author), Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA |
| 合作状况 | 国际 |
| 中文摘要 | 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. |
| 学科主题 | Computer Science; Mathematics |
| 分类号 | 一类 |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 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 |
| 收录类别 | SCI ; EI |
| 原文出处 | http://dx.doi.org/10.1016/j.camwa.2010.03.022 |
| 语种 | 英语 |
| WOS记录号 | WOS:000292583300009 |
| 公开日期 | 2012-04-01 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/44924]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 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.,...&Fang SF.(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. |
入库方式： OAI收割
来源：力学研究所
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