Discontinuous Galerkin Methods for Kinetic Plasma and Hybrid Plasma/Fluid Modeling with Applications to Microwave Generation and Laser- Matter Interaction.

摘要

The shortcomings of the classic low order and geometrically inflexible particle-in- cell methods for the modeling of kinetic plasma phenomena approach are also becoming increasing clear when one attempts to model many types of applications of mission critical importance to the US Airforce. However, the development of faster and more accurate alternatives remains a major challenge, since such developments require one to rethink fundamental choices and design criteria. In this effort we have focused the research on the development of computational methods for the modeling of plasma problems dominated by kinetic effects and we consider methods where the spatial dimensions are discretized by using a Discontinuous Galerkin method For the phase-space dynamics we primarily seek to develop a new generation of particle- in-cell methods for solving high-speed problems on general unstructured grids but we also consider challenges associated with efficiently solving the Vlasov equation Applications include accelerators, microwave generators and laser- matter interaction.