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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5):056312. doi: 10.1103/PhysRevE.65.056312. Epub 2002 May 20.

Single relaxation time model for entropic lattice Boltzmann methods.

Physical review. E, Statistical, nonlinear, and soft matter physics

Santosh Ansumali, Iliya V Karlin

Affiliations

  1. Department of Materials, Institute of Polymers, ETH-Zürich, ETH-Zentrum, Sonneggstrasse 3, ML J 19, CH-8092 Zürich, Switzerland.

PMID: 12059708 DOI: 10.1103/PhysRevE.65.056312

Abstract

For lattice Boltzmann methods based on entropy functions, we derive a collision integral which enables simple identification of transport coefficients, and which circumvents construction of the equilibrium. Implementation of the two-dimensional hydrodynamics demonstrates considerable increase of stability with respect to conventional lattice Boltzmann schemes.

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