Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics
Solar and Stellar Astrophysics
2010-12-28 v1 High Energy Physics - Phenomenology
Abstract
A detailed derivation of the Lattice Boltzmann (LB) scheme for relativistic fluids recently proposed in Ref. [1], is presented. The method is numerically validated and applied to the case of two quite different relativistic fluid dynamic problems, namely shock-wave propagation in quark-gluon plasmas and the impact of a supernova blast-wave on massive interstellar clouds. Close to second order convergence with the grid resolution, as well as linear dependence of computational time on the number of grid points and time-steps, are reported.
Keywords
Cite
@article{arxiv.1009.0129,
title = {Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics},
author = {M. Mendoza and B. M. Boghosian and H. J. Herrmann and S. Succi},
journal= {arXiv preprint arXiv:1009.0129},
year = {2010}
}