Journal Article10.1209/0295-5075/17/6/001
Lattice BGK Models for Navier-Stokes Equation
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Citations
Multiphase lattice Boltzmann simulations for porous media applications : a review
Haihu Liu,Qinjun Kang,Christopher R. Leonardi,Christopher R. Leonardi,Sebastian Schmieschek,Sebastian Schmieschek,Ariel Narváez,Bruce D. Jones,John R. Williams,Albert J. Valocchi,Albert J. Valocchi,Jens Harting +11 more
TL;DR: An extensive overview on a number of extensions to the lattice Boltzmann method which allow to study multiphase and multicomponent flows on a pore scale level are given.
Lattice BGK model for incompressible Navier-Stokes equation
TL;DR: In this paper, a Boltzmann BGK model without compressible effect is designed for simulating incompressible flows, and the Navier-Stokes equations are exactly recovered from this model.
426
Lattice Boltzmann method for microfluidics: models and applications
TL;DR: The lattice Boltzmann method (LBM) has experienced tremendous advances and has been well accepted as a useful method to simulate various fluid behaviors for computational microfluidics as mentioned in this paper.
420
A lattice Boltzmann model for multiphase fluid flows
TL;DR: In this paper, a lattice Boltzmann equation method for simulating multiphase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen et al., is developed.
412
Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method
J. Boyd,James Buick,Simon Green +2 more
TL;DR: It is found that compared to analogous Newtonian flows, both the Casson and Carreau-Yasuda flows exhibit significant differences in the steady flow situation, which may be important for the study of atherosclerotic progression.
References
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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Lattice-Gas Automata for the Navier-Stokes Equation
TL;DR: It is shown that a class of deterministic lattice gases with discrete Boolean elements simulates the Navier-Stokes equation, anc, and can be used to design simple, massively parallel computing machines.
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Use of the Boltzmann Equation to Simulate Lattice-Gas Automata
TL;DR: On discute d'une technique alternative aux automates des gaz sur reseau pour etudier des proprietes hydrodynamiques, a savoir la modelisation d'un gaz reticulaire a l'aide d’une equation de Boltzman.
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Boltzmann Approach to Lattice Gas Simulations
F. J. Higuera,Javier Jiménez +1 more
TL;DR: In this article, an alternative simulation procedure for lattice hydrodynamics based on the lattice Boltzmann equation instead of on the microdynamical evolution is proposed, where the averaging step, used by the latter method to derive macroscopic quantities, is suppressed, as well as the associated fluctuations.
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