Entropy Balance and Dispersive Oscillations in Lattice Boltzmann Models

Details Entropy Balance and Dispersive Oscillations in Lattice Boltzmann Models Entropy Balance and Dispersive Oscillations in Lattice Boltzmann Models

2009-01-07

arxiv.org/abs/0901.0853v2

Physics

Condensed Matter

Statistical Mechanics

18 pages, 4 figures; 13/07/2009 Matlab code added to appendix

Scientific paper

We conduct an investigation into the dispersive post-shock oscillations in the entropic lattice-Boltzmann method (ELBM). To this end we use a root finding algorithm to implement the ELBM which displays fast cubic convergence and guaranties the proper sign of dissipation. The resulting simulation on the one-dimensional shock tube shows no benefit in terms of regularization from using the ELBM over the standard LBGK method. We also conduct an experiment investigating of the LBGK method using median filtering at a single point per time step. Here we observe that significant regularization can be achieved.

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