Zheng,  Dawei

Efficient algorithms for the fast computation of space charge effects caused by charged particles in particle accelerators

Rostock : Universität , 2018

https://doi.org/10.18453/rosdok_id00002019

http://purl.uni-rostock.de/rosdok/id00002019

In this dissertation, a Poisson solver is improved with three parts: the efficient integrated Green's function; the discrete cosine transform of the efficient integrated Green's function values; the implicitly zero-padded fast Fourier transform for charge density. In addition, the high performance computing technology is utilized for the further improvement of efficiency, such as: OpenMP API, OpenMP+CUDA, MPI, and MPI+OpenMP parallelizations. The examples and simulation results are matched with the results of the commonly used Poisson solver to demonstrate the accuracy performance.

Dissertation Open Access