Towards a unified lattice kinetic scheme for relativistic hydrodynamics

A. Gabbana, M. Mendoza, S. Succi, and R. Tripiccione
Phys. Rev. E 95, 053304 – Published 11 May 2017
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Abstract

We present a systematic derivation of relativistic lattice kinetic equations for finite-mass particles, reaching close to the zero-mass ultrarelativistic regime treated in the previous literature. Starting from an expansion of the Maxwell-Jüttner distribution on orthogonal polynomials, we perform a Gauss-type quadrature procedure and discretize the relativistic Boltzmann equation on space-filling Cartesian lattices. The model is validated through numerical comparison with standard tests and solvers in relativistic fluid dynamics such as Boltzmann approach multiparton scattering and previous relativistic lattice Boltzmann models. This work provides a significant step towards the formulation of a unified relativistic lattice kinetic scheme, covering both massive and near-massless particles regimes.

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  • Received 7 December 2016

DOI:https://doi.org/10.1103/PhysRevE.95.053304

©2017 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsStatistical Physics & ThermodynamicsGravitation, Cosmology & AstrophysicsInterdisciplinary Physics

Authors & Affiliations

A. Gabbana

  • Università di Ferrara and INFN-Ferrara, Via Saragat 1, I-44122 Ferrara, Italy

M. Mendoza

  • ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstraße 6, HIF, CH-8093 Zürich, Switzerland

S. Succi

  • Istituto per le Applicazioni del Calcolo C.N.R., Via dei Taurini, 19 00185 Rome, Italy

R. Tripiccione

  • Università di Ferrara and INFN-Ferrara, Via Saragat 1, I-44122 Ferrara, Italy

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Issue

Vol. 95, Iss. 5 — May 2017

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