# Relativistic lattice Boltzmann methods: Theory and applications

@article{Gabbana2020RelativisticLB, title={Relativistic lattice Boltzmann methods: Theory and applications}, author={Alessandro Gabbana and Daniele Simeoni and Sauro Succi and Raffaele Tripiccione}, journal={Physics Reports}, year={2020} }

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## 16 Citations

Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics

- Physics
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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…

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Efficient supersonic flow simulations using lattice Boltzmann methods based on numerical equilibria

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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.

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Dissipation in 2D degenerate gases with non-vanishing rest mass

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Two-dimensional turbulence in a massless fluid with a relativistic lattice Boltzmann model

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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

- PhysicsPhysics of Fluids
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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…

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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…

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## References

SHOWING 1-10 OF 121 REFERENCES

Relativistic Lattice Boltzmann Model with Improved Dissipation

- Physics
- 2013

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

- Physics
- 2013

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.

- PhysicsPhysical review. E
- 2017

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

- Physics
- 2012

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

- Physics
- 2015

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

- PhysicsComputers & Fluids
- 2018

High-order quadrature-based lattice Boltzmann models for the flow of ultrarelativistic rarefied gases

- PhysicsPhysical Review C
- 2018

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

- Physics
- 2011

(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

- Physics
- 2014

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

- Physics
- 2010

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…