VOLUME EXCLUSION FOR REDUCING COMPRESSIBILITY EFFECTS IN LATTICE BOLTZMANN MODELS

Rodrigo Surmas (), Carlos Enrique Pico (), Luís Orlando Emerich Dos Santos () and Paulo Cesar Philippi ()
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Rodrigo Surmas: Mechanical Engineering Department, Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil
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, 576-584

Abstract: Lattice Boltzmann (LB) models for ideal gases retrieve the Navier-Stokes equation in the incompressible limit. Nevertheless, the high values of the isothermal compressibility introduce serious drawbacks. In the simulation of liquid flows through porous media, the high pressure gradients through throats and tortuous paths produce significant errors when conventional LB models are used, especially when the interest is the transient flow. In this work a significant reduction of the isothermal compressibility is reached by adjusting the equilibrium distribution moments to those obtained imposing a van der Waals pressure-density dependence and adopting a lattice with a high number of speeds. Simulation results for the shock tube problem, the velocity step problem and the transient pressure response in a tortuous channel are presented and compared with available analytical results.

Keywords: Lattice Boltzmann; incompressible flow; volume exclusion; sound speed; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010814

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