Lattice Boltzmann scheme for relativistic fluids
M. Mendoza, B. Boghosian, H. J. Herrmann, S. Succi
TL;DR
This paper introduces a Lattice Boltzmann method tailored for relativistic fluids, validated against shock-wave simulations in viscous quark-gluon plasmas, enabling advanced simulations in complex geometries.
Contribution
It presents a novel Lattice Boltzmann formulation specifically designed for relativistic fluids, expanding the method's applicability to high-energy physics scenarios.
Findings
Accurately simulates relativistic shock-wave propagation.
Shows good agreement with existing hydrodynamic simulations.
Enables complex geometry simulations for relativistic fluids.
Abstract
A Lattice Boltzmann formulation for relativistic fluids is presented and numerically verified through quantitative comparison with recent hydrodynamic simulations of relativistic shock-wave propagation in viscous quark-gluon plasmas. This formulation opens up the possibility of exporting the main advantages of Lattice Boltzmann methods to the relativistic context, which seems particularly useful for the simulation of relativistic fluids in complicated geometries.
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