|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
|Conference Name||6th International Conference for Mesoscopic Methods in Engineering Science (ICMMES-09)
|Conference Date||JUL 13-17, 2009
|Conference Place||Guangzhou, 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.|
|Keyword||Immersed Boundary Method
Lattice Boltzmann Method
Computational Fluid Dynamics
Incompressible Viscous Flow
|Funding Organization||S China Univ Technol (SCUT)
|Corresponding Author||Zhu, LD (reprint author), Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA|
Zhu LD,He GW,Wang SZ,et al. An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application[C]. THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND:PERGAMON-ELSEVIER SCIENCE LTD,2011:3506-3518.
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