Stabilization of the lattice boltzmann method by the H theorem: A numerical test
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. Ottinger, Europhys. Lett. 47, 182 (1999)]. Results of simulation demonstrate significant improvement of stability, as compared to realizations without explicit entropic estimations.
Ansumali
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ETH-Zurich, Department of Materials, Institute of Polymers, ETH-Zentrum, Sonneggstrasse 3, ML J 27, CH-8092 Zurich, Switzerland.
Karlin
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