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Study of the coupling of numerical methods for the Vlasov-Maxwell problem

Thomas Respaud 1, 2
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : A new method is proposed in order to simulate plasmas using the kinetic model coupling the Vlasov equation which rules the particles distribution, and the Maxwell's ones ruling the evolution of electromagnetic fields. This method is semi-Lagrangian, it uses a phase space grid and the characteristics of the Vlasov equation. These characteristics are followed forwardly, which gives some interesting advantages compared to the classical method. Indeed, this method is explicit, which allows easy high order computation, so that the method remains stable for larger time steps. Moreover, its similarities with the classical PIC method offers the opportunity to build charge preserving algorithms, which is fundamental in order to ensure that the numerical solutions are real physical solutions.
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Submitted on : Friday, October 15, 2010 - 9:39:52 PM
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Thomas Respaud. Study of the coupling of numerical methods for the Vlasov-Maxwell problem. Mathematics [math]. Université de Strasbourg, 2010. English. ⟨NNT : 2010STRA6126⟩. ⟨tel-00526817⟩

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