Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics

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.

References in corpus (4)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• The QCD Equation of State with almost Physical Quark Masses
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Extraction of jet topology using three particle correlations

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