A new formulation is presented for the implicit moment method applied to the time-dependent relativistic Vlasov-Maxwell system. The new approach is based on a specific formulation of the implicit moment method that allows us to retain the same formalism that is valid in the classical case despite the formidable complication introduced by the nonlinear nature of the relativistic equations of motion. To demonstrate the validity of the new formulation, an implicit finite difference algorithm is developed to solve the Maxwell’s equations and equations of motion. A number of benchmark problems are run: two stream instability, ion acoustic wave damping, Weibel instability, and Poynting flux acceleration. The numerical results are all in agreement with analytical solutions.

Noguchi, K., Tronci, C., Zuccaro, G., Lapenta, G., Formulation of the relativistic moment implicit particle-in-cell method, <<PHYSICS OF PLASMAS>>, 2007; 14 (4): 042308-N/A. [doi:10.1063/1.2721083] [https://hdl.handle.net/10807/225887]

Formulation of the relativistic moment implicit particle-in-cell method

Zuccaro, Gianluca
Penultimo
;
2007

Abstract

A new formulation is presented for the implicit moment method applied to the time-dependent relativistic Vlasov-Maxwell system. The new approach is based on a specific formulation of the implicit moment method that allows us to retain the same formalism that is valid in the classical case despite the formidable complication introduced by the nonlinear nature of the relativistic equations of motion. To demonstrate the validity of the new formulation, an implicit finite difference algorithm is developed to solve the Maxwell’s equations and equations of motion. A number of benchmark problems are run: two stream instability, ion acoustic wave damping, Weibel instability, and Poynting flux acceleration. The numerical results are all in agreement with analytical solutions.
2007
Inglese
Noguchi, K., Tronci, C., Zuccaro, G., Lapenta, G., Formulation of the relativistic moment implicit particle-in-cell method, <<PHYSICS OF PLASMAS>>, 2007; 14 (4): 042308-N/A. [doi:10.1063/1.2721083] [https://hdl.handle.net/10807/225887]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/225887
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