Relativistic lattice Boltzmann methods: Theory and applications

  title={Relativistic lattice Boltzmann methods: Theory and applications},
  author={Alessandro Gabbana and Daniele Simeoni and Sauro Succi and Raffaele Tripiccione},
  journal={Physics Reports},
Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics
We present a new method for the numerical solution of the radiative-transfer equation (RTE) in multidimensional scenarios commonly encountered in computational astrophysics. The method is based on
Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria
The proposed double-distribution-function based lattice Boltzmann method is shown to be substantially more efficient than the previous 5-moment D3Q343 DDF-LBM for both CPU and GPU architectures and opens up a whole new world of compressible flow applications that can be realistically tackled with a purely LB approach.
Probing bulk viscosity in relativistic flows
We derive an analytical connection between kinetic relaxation rate and bulk viscosity of a relativistic fluid in d spatial dimensions, all the way from the ultra-relativistic down to the near
Two-dimensional turbulence in a massless fluid with a relativistic lattice Boltzmann model
We investigate a relativistic adaptation of the lattice Boltzmann method that reproduces the equations of motion for a turbulent, two-dimensional, massless hydrodynamic system. The classical lattice
Morphological and non-equilibrium analysis of coupled Rayleigh–Taylor–Kelvin–Helmholtz instability
In this paper, the coupled Rayleigh-Taylor-Kelvin-Helmholtz instability(RTI, KHI and RTKHI, respectively) system is investigated using a multiple-relaxation-time discrete Boltzmann model. Both the
Bjorken flow attractors with transverse dynamics
Victor E. Ambrus, , 2, ∗ Sergiu Busuioc, † Jan A. Fotakis, ‡ Kai Gallmeister, § and Carsten Greiner ¶ Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität, Max-von-Laue-Strasse 1,
Spin chemistry of sp2 nanocarbons.
Suggested in the paper is the consideration of stable radicals of sp2 nanocarbons from the standpoint of spin-delocalized topochemistry. Characterized in terms of the total and atomically-partitioned
Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates
. In this work we provide analytic and numerical solutions for the Bjorken flow, a standard benchmark in relativistic hydrodynamics providing a simple model for the bulk evolution of matter created in


Relativistic Lattice Boltzmann Model with Improved Dissipation
We develop a relativistic lattice Boltzmann (LB) model, providing a more accurate description of dissipative phenomena in relativistic hydrodynamics than previously available with existing LB
Lattice Boltzmann model for ultrarelativistic flows
We develop a relativistic lattice Boltzmann model capable of describing relativistic fluid dynamics at ultra-high velocities, with Lorentz factors up to $\gamma \sim 10$. To this purpose, we first
Kinetic approach to relativistic dissipation.
Numerical results provide neat evidence in favor of the Chapman-Enskog expansion procedure as suggested by recent theoretical analyses along with qualitative hints at the basic reasons why it might be better suited than Grad's method to capture the emergence of dissipative effects in relativistic fluids.
Lattice Boltzmann method for relativistic hydrodynamics: Issues on conservation law of particle number and discontinuities
In this paper, we aim to address several important issues about the recently developed lattice Boltzmann (LB) model for relativistic hydrodynamics [M. Mendoza, B. Boghosian, H. Herrmann, and S.
Relativistic causal hydrodynamics derived from Boltzmann equation: A novel reduction theoretical approach
We derive the second-order hydrodynamic equation and the microscopic formulae of the relaxation times as well as the transport coefficients systematically from th e relativistic Boltzmann equation.
Fully dissipative relativistic lattice Boltzmann method in two dimensions
High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases
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 rules are used for
Relativistic lattice Boltzmann method for quark-gluon plasma simulations
(Dated: September 13, 2011)In this paper, we investigate the recently developed lattice Boltzmann model for relativistic hydro-dynamics. To this purpose, we perform simulations of shock waves in
Relativistic viscous hydrodynamics for heavy-ion collisions: A comparison between the Chapman-Enskog and Grad methods
Derivations of relativistic second-order dissipative hydrodynamic equations have relied almost exclusively on the use of Grad's 14-moment approximation to write $f(x,p)$, the nonequilibrium
Derivation of the Lattice Boltzmann Model for Relativistic Hydrodynamics
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