TY - JOUR
T1 - Structure-preserving strategy for conservative simulation of the relativistic nonlinear Landau-Fokker-Planck equation
AU - Shiroto, Takashi
AU - Sentoku, Yasuhiko
N1 - Funding Information:
T.S. would like to appreciate valuable information from Dr. William T. Taitano and Dr. Luis Chacón (Los Alamos National Laboratory). This work was supported by KAKENHI Grants No. 15K21767 and No. 18H05851. Numerical experiments were carried out on NEC SX-ACE, Cybermedia Center, Osaka University.
Publisher Copyright:
© 2019 American Physical Society.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2019/5/28
Y1 - 2019/5/28
N2 - Mathematical symmetries of the Beliaev-Budker kernel are the most important structure of the relativistic Landau-Fokker-Planck equation. In most numerical simulations, however, one of the symmetries is not preserved in the discrete level resulting in a violation of the energy conservation. Recently, we proposed a charge-momentum-energy-conserving relativistic Vlasov-Maxwell scheme by preserving mathematical formulas in discrete form, and here we apply the concept to the relativistic Landau-Fokker-Planck equation. Through a numerical experiment of relativistic collisional relaxation, a mass-momentum-energy-conserving simulation has been demonstrated without any artificial constraints.
AB - Mathematical symmetries of the Beliaev-Budker kernel are the most important structure of the relativistic Landau-Fokker-Planck equation. In most numerical simulations, however, one of the symmetries is not preserved in the discrete level resulting in a violation of the energy conservation. Recently, we proposed a charge-momentum-energy-conserving relativistic Vlasov-Maxwell scheme by preserving mathematical formulas in discrete form, and here we apply the concept to the relativistic Landau-Fokker-Planck equation. Through a numerical experiment of relativistic collisional relaxation, a mass-momentum-energy-conserving simulation has been demonstrated without any artificial constraints.
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U2 - 10.1103/PhysRevE.99.053309
DO - 10.1103/PhysRevE.99.053309
M3 - Article
C2 - 31212484
AN - SCOPUS:85066432502
VL - 99
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 5
M1 - 053309
ER -
