### Project B2

**Principal Investigators:**

*Rainer Grauer, Theoretical Physics I, Ruhr-University Bochum*

*Christiane Helzel, Applied Mathematics, Heinrich-Heine-University*

**Main Collaborator in the Research Unit:**

*Michael Schlottke-Lakemper, High-Performance Computing Center
Stuttgart, University of Stuttgart*

## An Active Flux Method for the Vlasov-Maxwell System

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.

**Detailed description**

Plasma Numerics
Extended-version