Section: New Results

Reduced Vlasov-Maxwell modeling

Participants : Philippe Helluy, Laurent Navoret, Thi Trang Nhung Pham.

We have tested several preliminary methods for reducing the complexity of the Vlasov equation. By expanding the distribution function on velocity basis we obtain a space-only hyperbolic system. This system takes advantage of interesting conservation or entropy properties. Several types of basis can be used: Fourier [14] , piecewise Lagrange [20] , [13] , etc. The method has been implemented for 4D problems in the Selalib library. The next step would be to adapt the size of the expansion according to the nature of the flow region and to apply the method to the gyrokinetic model.