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Volume Exclusion For Reducing Compressibility Effects In Lattice Boltzmann Models

Author

Listed:
  • 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)

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.

Suggested Citation

  • Rodrigo Surmas & Carlos Enrique Pico & Luís Orlando Emerich Dos Santos & Paulo Cesar Philippi, 2007. "Volume Exclusion For Reducing Compressibility Effects In Lattice Boltzmann Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 576-584.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:04:n:s0129183107010814
    DOI: 10.1142/S0129183107010814
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