Sparse grid techniques for particle-in-cell schemes

作者：Ricketson L F^*; Cerfon A J

来源：Plasma Physics and Controlled Fusion, 2017, 59(2): 024002.

DOI：10.1088/1361-6587/59/2/024002

• particle-in-cell
• sparse grids
• combination technique

We propose the use of sparse grids to accelerate particle-in-cell (PIC) schemes. By using the so-called 'combination technique' from the sparse grids literature, we are able to dramatically increase the size of the spatial cells in multi-dimensional PIC schemes while paying only a slight penalty in grid-based error. The resulting increase in cell size allows us to reduce the statistical noise in the simulation without increasing total particle number. We present initial proof-of-principle results from test cases in two and three dimensions that demonstrate the new scheme's efficiency, both in terms of computation time and memory usage.

• 出版日期2017-2-1