Simulation of Multicomponent Fluids in Complex Three-Dimensional Geometries by the Lattice Boltzmann Method.
Simulation of Multicomponent Fluids in Complex
Three-Dimensional Geometries by the Lattice Boltzmann
Method.
(654 K)
Martys, N. S.; Chen, H.
Physical Review E, Vol. 53, No. 1, 743-750, January
1996.
Keywords:
lattice Boltzmann; simulation; fluids; fluid flow;
porous media
Abstract:
We describe an implementation of the recently proposed
lattice Boltzmann based model of Shan and Chen to
simulate multicomponent flow in complex
three-dimensional geometries such as porous media. The
above method allows for the direct incorporation of
fluid-fluid and fluid-solid interactions as well as an
applied external force. As a test of this method, we
obtained Poiseuille flow for the case of a single fluid
driven by a constant body force and obtained results
consistent with Laplace's law for the case of two
immiscible fluids. The displacement of one fluid by
another in a porous media was then modeled. The
relative permeability for different wetting fluid
saturations of a microtomography-generated image of
sandstone was calculated and compared favorably with
experiment. In addition, we show that a first-order
phase transition, in three dimensions, may be obtained
by this lattice Boltzman method, demonstrating the
potential for modeling phase transitions and multiphase
flow in porous media.
Building and Fire Research Laboratory
National Institute of Standards and Technology
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