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Title: Simulation of low-Reynolds-number flow via a time-independent lattice-Boltzmann method

Abstract

We present a numerical method to solve the equations for low-Reynolds-number (Stokes) flow in porous media. The method is based on the lattice-Boltzmann approach, but utilizes a direct solution of time-independent equations, rather than the usual temporal evolution to steady state. Its computational efficiency is 1[endash]2 orders of magnitude greater than the conventional lattice-Boltzmann method. The convergence of the permeability of random arrays of spheres has been analyzed as a function of mesh resolution at several different porosities. For sufficiently large spheres, we have found that the convergence is quadratic in the mesh resolution. [copyright] [ital 1999] [ital The American Physical Society]

Authors:
;  [1]
  1. (Chemical Engineering Department, University of Florida, Gainesville, Florida 32611-6005 (United States))
Publication Date:
OSTI Identifier:
6327169
Alternate Identifier(s):
OSTI ID: 6327169
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 60:3; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN EQUATION; CONVERGENCE; LATTICE PARAMETERS; NUMERICAL SOLUTION; PERMEABILITY; POROSITY; POROUS MATERIALS; VISCOUS FLOW; EQUATIONS; FLUID FLOW; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; MATERIALS 661300* -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Verberg, R., and Ladd, A.J. Simulation of low-Reynolds-number flow via a time-independent lattice-Boltzmann method. United States: N. p., 1999. Web. doi:10.1103/PhysRevE.60.3366.
Verberg, R., & Ladd, A.J. Simulation of low-Reynolds-number flow via a time-independent lattice-Boltzmann method. United States. doi:10.1103/PhysRevE.60.3366.
Verberg, R., and Ladd, A.J. Wed . "Simulation of low-Reynolds-number flow via a time-independent lattice-Boltzmann method". United States. doi:10.1103/PhysRevE.60.3366.
@article{osti_6327169,
title = {Simulation of low-Reynolds-number flow via a time-independent lattice-Boltzmann method},
author = {Verberg, R. and Ladd, A.J.},
abstractNote = {We present a numerical method to solve the equations for low-Reynolds-number (Stokes) flow in porous media. The method is based on the lattice-Boltzmann approach, but utilizes a direct solution of time-independent equations, rather than the usual temporal evolution to steady state. Its computational efficiency is 1[endash]2 orders of magnitude greater than the conventional lattice-Boltzmann method. The convergence of the permeability of random arrays of spheres has been analyzed as a function of mesh resolution at several different porosities. For sufficiently large spheres, we have found that the convergence is quadratic in the mesh resolution. [copyright] [ital 1999] [ital The American Physical Society]},
doi = {10.1103/PhysRevE.60.3366},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = ,
volume = 60:3,
place = {United States},
year = {1999},
month = {9}
}