A Fast Poisson Solver for 3-D Space Charge Calculations in a CPU+GPU Heterogeneous Routine

Space charge calculations play a key role in beam dynamics studies for particle accelerators and various other physical and technical fields. The major work is to solve Poisson's equation for numerous time steps. Therefore, it is important to solve Poisson's equation in a short time. In this paper, we present a CPU+GPU-based heterogeneous parallel computation routine with the compute unified device architecture platform in a normal PC. The new framework benefits from a novel efficient discrete cosine transform study using the classical Hockney and Eastwood's convolution routine rather than the former one with discrete Fourier transform. A model problem has been studied, which showed an efficiency improvement with the new heterogeneous routine.