Stabilization of the lattice Boltzmann method by theHtheorem: Anumerical test
- 1 December 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 62 (6) , 7999-8003
- https://doi.org/10.1103/physreve.62.7999
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.Keywords
This publication has 15 references indexed in Scilit:
- The lattice Boltzmann equation: theory and applicationsPublished by Elsevier ,2002
- Perfect entropy functions of the Lattice Boltzmann methodEurophysics Letters, 1999
- An H -theorem for the lattice Boltzmann approach to hydrodynamicsEurophysics Letters, 1998
- Equilibria for discrete kinetic equationsPhysical Review E, 1998
- Maximum Entropy Principle for Lattice Kinetic EquationsPhysical Review Letters, 1998
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWSAnnual Review of Fluid Mechanics, 1998
- RECENT ADVANCES IN LATTICE BOLTZMANN COMPUTINGPublished by World Scientific Pub Co Pte Ltd ,1995
- ForewordJournal of Statistical Physics, 1995
- Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundationJournal of Fluid Mechanics, 1994
- Lattice-Gas Automata for the Navier-Stokes EquationPhysical Review Letters, 1986