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A Comparison Of Single-Time Relaxation Lattice Boltzmann Schemes With Enhanced Stability

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  • FRANCESCA TOSI

    (Università degli studi di Firenze, Dip. di Matematica U. Dini, Viale Morgagni, 67a, 50134 Firenze, Italia)

  • STEFANO UBERTINI

    (Università degli studi di Roma, Tor Vergata Dip. di Ing. Meccanica, Via del Politecnico, 1 0133 Roma, Italia)

  • SAURO SUCCI

    (Istituto Applicazioni del Calcolo CNR, Via del Policlinico, 137 0161 Roma, Italia)

  • HUDONG CHEN

    (Exa Corporation, 3 Burlington Woods Drive, Burlington, MA 01802, USA)

  • ILYA V. KARLIN

    (Aerothermochemistry and Combustion System Laboratory, Swiss Federal Institute of Technology, ETH-Zentrum, CH-8092, Zurich, Switzerland)

Abstract

In the recent years the entropic version of the lattice Boltzmann method (ELB) has made proof of significantly enhanced numerical stability as compared to the standard single-time relaxation form of the lattice Boltzmann equation. In this paper, we compare ELB with a more empirical procedure, based on the idea of modifying the value of the relaxation time in such a way as to enforce the positivity of the kinetic distribution function (fix-up method). The stability enhancement due to ELB and fix-up are compared for the case a two-dimensional lid-driven cavity flow. It is shown that ELBM offers higher stability at a moderate price in terms of computational overhead. On the other hand, even the simple fix-up procedure can provide significant savings over the standard single-time relaxation method, virtually cost-free in terms of computational requirements.

Suggested Citation

  • Francesca Tosi & Stefano Ubertini & Sauro Succi & Hudong Chen & Ilya V. Karlin, 2006. "A Comparison Of Single-Time Relaxation Lattice Boltzmann Schemes With Enhanced Stability," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(10), pages 1375-1390.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:10:n:s0129183106009163
    DOI: 10.1142/S0129183106009163
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