We present a systematic account of recent developments of the relativistic Lattice Boltzmann
method (RLBM) for dissipative hydrodynamics. We describe in full detail a unified, compact …

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the
collision model relies on the BGK approximation, especially in the zero viscosity limit and for …

Based on extensive numerical simulations, accounting for electrostatic interactions and
dissipative electron-phonon scattering, we propose experimentally realizable geometries …

We present a systematic procedure for the construction of relativistic lattice Boltzmann
models (R-SLB) appropriate for the simulation of flows of massless particles. Quadrature …

Despite a long record of intense effort, the basic mechanisms by which dissipation emerges
from the microscopic dynamics of a relativistic fluid still elude complete understanding. In …

We propose an extension to recently developed Relativistic Lattice Boltzmann solvers
(RLBM), which allows the simulation of flows close to the free streaming limit. Following …

We provide numerical evidence that a Kelvin-Helmholtz instability occurs in the Dirac fluid of
electrons in graphene and can be detected in current experiments. This instability appears …

In this paper, we develop and characterize the fully dissipative Lattice Boltzmann method for
ultra-relativistic fluids in two dimensions using three equilibrium distribution functions …

This paper presents numerical cross comparisons and benchmark results for two different
kinetic numerical methods, capable of describing relativistic dissipative fluid dynamics in a …

A spatially periodic longitudinal wave is considered in relativistic dissipative hydrodynamics.
At sufficiently small wave amplitudes, an analytic solution is obtained in the linearized limit of …