High-Order Accurate Particle-In-Cell (PIC) Methods on Unstructured Grids with Applications to Microwave Generation and Accelerator Modeling
Final rept. 1 Oct 2005-31 May 2006
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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A thoroughly validated, robust, and efficiently solver for the electromagnetics problem continues to be extended to provide a basic field solver for the EM-PIC problem. This has resulted in a first generation of a DG-FEM based PIC method on unstructured grids. The particle mover relies on high-order interpolation, efficient local search algorithms to locate the particles, and a level set approach to implement elasticinelastic interactions with boundaries. Charge and current, redistribution computations use large smooth weight functions, dramatically decreasing the number of particles needed in a computational cell as compared to the compared to the simple redistribution schemes typically used. A large smooth Gaussian-like distribution function is used as a regularized for the particle per particle to sums the influence of the particles into the charge and current density field variables. Currently, a constant particle influence-radius ensures charge conservation in the domain, but requires a variable number of element.
- Statistics and Probability
- Electricity and Magnetism
- Radiofrequency Wave Propagation