IMECH-IR  > 非线性力学国家重点实验室
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 PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
2011
Pages3506-3518
Conference Name6th International Conference for Mesoscopic Methods in Engineering Science (ICMMES-09)
Conference DateJUL 13-17, 2009
Conference PlaceGuangzhou, PEOPLES R CHINA
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.

KeywordImmersed 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
Funding OrganizationS China Univ Technol (SCUT)
URL查看原文
Indexed ByCPCI-S
Language英语
Document Type会议论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/45238
Collection非线性力学国家重点实验室
Corresponding AuthorZhu, LD (reprint author), Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA
Recommended Citation
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[C]COMPUTERS & MATHEMATICS WITH APPLICATIONS,2011:3506-3518.
Files in This Item: Download All
File Name/Size DocType Version Access License
Conf2011-006.pdf(975KB)会议论文 开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Lanfanshu
Similar articles in Lanfanshu
[Zhu LD]'s Articles
[He GW(何国威)]'s Articles
[Wang SZ(王士召)]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhu LD]'s Articles
[He GW(何国威)]'s Articles
[Wang SZ(王士召)]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhu LD]'s Articles
[He GW(何国威)]'s Articles
[Wang SZ(王士召)]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: Conf2011-006.pdf
Format: Adobe PDF
This file does not support browsing at this time
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.