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Open AccessJournal ArticleDOI

Lattice Boltzmann model for simulating flows with multiple phases and components

Xiaowen Shan, +1 more
- 01 Mar 1993 - 
- Vol. 47, Iss: 3, pp 1815-1819
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TLDR
A lattice Boltzmann model is developed which has the ability to simulate flows containing multiple phases and components and is highly efficient to compute on massively parallel computers.
Abstract
A lattice Boltzmann model is developed which has the ability to simulate flows containing multiple phases and components. Each of the components can be immiscible with the others and can have different mass values. The equilibrium state of each component can have a nonideal gas equation of state at a prescribed temperature exhibiting thermodynamic phase transitions. The scheme incorporated in this model is the introduction of an interparticle potential. The dynamical rules in this model are local so it is highly efficient to compute on massively parallel computers. This model has many applications in large-scale numerical simulations of various types of fluid flows.

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Lattice boltzmann method for fluid flows

TL;DR: An overview of the lattice Boltzmann method, a parallel and efficient algorithm for simulating single-phase and multiphase fluid flows and for incorporating additional physical complexities, is presented.
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Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability

TL;DR: The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).
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Lattice-Boltzmann Method for Complex Flows

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A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit

TL;DR: A novel lattice Boltzmann thermal model is proposed for studying thermohydrodynamics in incompressible limit that can incorporate viscous heat dissipation and compression work done by the pressure, in contrast to the passive-scalar-based thermal latticeboltzmann models.
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X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems

TL;DR: X-ray microtomographic imaging is a non-destructive technique for quantifying these processes in three dimensions within individual pores, and as reported here, with rapidly increasing spatial and temporal resolution.
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