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arXiv · 1009.0129

Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics

M. Mendoza·B. M. Boghosian·H. J. Herrmann·S. Succi
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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.

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M. Mendoza, B. M. Boghosian, H. J. Herrmann, S. Succi. 2010-09-01. Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics. https://doi.org/10.1103/physrevd.82.105008

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