Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena

• Autorzy: Besse N. , Mauser N. J. , Sonnendrücker E.
• Języki publikacji: EN

Abstrakty

EN

We present a new numerical method to solve the Vlasov-Darwin and Vlasov-Poisswell systems which are approximations of the Vlasov-Maxwell equation in the asymptotic limit of the infinite speed of light. These systems model low-frequency electromagnetic phenomena in plasmas, and thus “light waves” are somewhat supressed, which in turn allows the numerical discretization to dispense with the Courant-Friedrichs-Lewy condition on the time step. We construct a numerical scheme based on semi-Lagrangian methods and time splitting techniques. We develop a four-dimensional phase space algorithm for the distribution function while the electromagnetic field is solved on a two-dimensional Cartesian grid. Finally, we present two nontrivial test cases: (a) the wave Landau damping and (b) the electromagnetic beam-plasma instability. For these cases our numerical scheme works very well and is in agreement with analytic kinetic theory.

Słowa kluczowe

EN

Vlasov-Darwin model; Vlasov-Poisswell model; semi-Lagrangian method; low-frequency electromagnetic

PL

model Vlasova-Darwina; model Vlasova-Poiswell'a; metoda Lagrangiana; niskoczęstotliwościowe zjawisko elektromagnetyczne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: Vol. 17, no 3
• Strony: 361--374
• Opis fizyczny: Bibliogr. 26 poz., wykr.

Twórcy

autor

Besse N.

• Laboratoire de Physique des Milieux Ionisés et Applications & Institut de Mathématiques Elie Cartan, Université Henri Poincaré Nancy-I BP 239 54506 Vandoeuvre-lès-Nancy Cedex, France

autor

Mauser N. J.

• Wolfgang Pauli Institute c/o Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Wien, Austria

autor

Sonnendrücker E.

• Institut de Recherche Mathématique Avancée, UMR 7501 CNRS/ULP, 7 rue René Descartes, 67084 Strasbourg Cedex, France

Bibliografia

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