A TWO-FLUID BGK LATTICE BOLTZMANN MODEL FOR IDEAL MIXTURES

Carlos Enrique Pico (), Luís Orlando Emerich Dos Santos () and Paulo Cesar Philippi ()
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Carlos Enrique Pico: Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil
Luís Orlando Emerich Dos Santos: Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil
Paulo Cesar Philippi: Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 04, 566-575

Abstract: In the present work, a lattice Boltzmann model for binary mixtures is formally derived from a two-fluid kinetic model of Maxwell molecules by discretizing the Boltzmann equation. In this model, collisions among the same and different species are treated separately, as non-linear BGK terms, enabling the independent management of the fluid viscosities and the binary diffusion coefficient. The velocity space is discretized, in accordance with a quadrature method based on prescribed abscissas. A Chapman-Enskog analysis is performed for deriving the macroscopic mass and momentum transport equations. The model is verified against theoretical solutions for the concentration and velocity step problems.

Keywords: Lattice Boltzmann method; binary mixtures; mass diffusion; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010802

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