Stabilization of the lattice Boltzmann method by the H theorem: A numerical test

Santosh Ansumali and Iliya V. Karlin
Phys. Rev. E 62, 7999 – Published 1 December 2000
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Abstract

For a one-dimensional benchmark shock tube problem, we implement the lattice Boltzmann method based on the H theorem [I. Karlin, A. Ferrante, and H. C. Öttinger, Europhys. Lett. 47, 182 (1999)]. Results of simulation demonstrate significant improvement of stability, as compared to realizations without explicit entropic estimations.

  • Received 7 June 2000

DOI:https://doi.org/10.1103/PhysRevE.62.7999

©2000 American Physical Society

Authors & Affiliations

Santosh Ansumali and Iliya V. Karlin*

  • ETH-Zürich, Department of Materials, Institute of Polymers, ETH-Zentrum, Sonneggstrasse 3, ML J 27, CH-8092 Zürich, Switzerland

  • *Corresponding author. FAX: +41 01 632 10 76. Email address: ikarlin@ifp.mat.ethz.ch

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Vol. 62, Iss. 6 — December 2000

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