Lattice Boltzmann method for warm fluid simulations of plasma wakefield acceleration

Author:

Simeoni Daniele1ORCID,Parise Gianmarco23ORCID,Guglietta Fabio1ORCID,Rossi Andrea Renato4ORCID,Rosenzweig James5ORCID,Cianchi Alessandro1ORCID,Sbragaglia Mauro1ORCID

Affiliation:

1. Department of Physics and INFN, Tor Vergata University of Rome 1 , Via della Ricerca Scientifica 1, Rome 00133, Italy

2. Department of Physics, Tor Vergata University of Rome 2 , Via della Ricerca Scientifica 1, Rome 00133, Italy

3. INFN, Laboratori Nazionali di Frascati 3 , Via Enrico Fermi 54, Frascati 00044, Italy

4. INFN, Section of Milan 4 , via Celoria 16, Milan 20133, Italy

5. Department of Physics and Astronomy, University of California-Los Angeles 5 , Portola Plaza 475, Los Angeles, California 90095, USA

Abstract

A comprehensive characterization of lattice Boltzmann (LB) schemes to perform warm fluid numerical simulations of particle wakefield acceleration (PWFA) processes is discussed in this paper. The LB schemes we develop hinge on the moment matching procedure, allowing the fluid description of a warm relativistic plasma wake generated by a driver pulse propagating in a neutral plasma. We focus on fluid models equations resulting from two popular closure assumptions of the relativistic kinetic equations, i.e., the local equilibrium and the warm plasma closure assumptions. The developed LB schemes can, thus, be used to disclose insights on the quantitative differences between the two closure approaches in the dynamics of PWFA processes. Comparisons between the proposed schemes and available analytical results are extensively addressed.

Funder

European Union - NextGeneration UE

FARE program

Publisher

AIP Publishing

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