Project Details
Projekt
An Active Flux Method for the Vlasov-Maxwell System
Subject Area
Mathematics
Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
Statistical Physics, Nonlinear Dynamics, Complex Systems, Soft and Fluid Matter, Biological Physics
Term
since 2022
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 463312734
We develop an Active Flux method for the Vlasov/Maxwell system for a collisionless plasma.The Active Flux method is a new form of a finite volume method which uses both cell average values as well as point values of the physical quantities as degrees of freedom. Since the underlying Vlasov equation has the structure of a six dimensional advection equation and the characteristics for the motion of the point values can be easily calculated, the Active Flux method is ideally suited for the Vlasov equation. Active Flux methods are high order accurate and have a compact stencil in space and time. The additional degrees of freedom, i.e. the point values, will be used to construct schemes which satisfy additional constraints such as conservation of energy.In order to apply the method to relevant high dimensional physical problems, aspects of high performance computing will also play an important role.This project is part of the DFG research unit "Structure-Preserving Numerical Methods for Bulk- and Interface-Coupling of Heterogeneous Models (SNuBIC)".
DFG Programme
Research Units
