# Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics

@article{Mendoza2010DerivationOT,
title={Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics},
author={Miller Mendoza and Bruce M. Boghosian and Hans J. Herrmann and Sauro Succi},
journal={Physical Review D},
year={2010},
volume={82},
pages={105008}
}
A detailed derivation of the lattice Boltzmann scheme for relativistic fluids recently proposed in M. Mendoza, B. Boghosian, H. Herrmann, and S. Succi, Phys. Rev. Lett. 105, 014502 (2010) 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… Expand
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