TITLE:
Implementation of the Integrated Green’s Function Method for 3D Poisson’s Equation in a Large Aspect Ratio Computational Domain
AUTHORS:
Ji Qiang, Chad Mitchell, Remi Lehe, Arianna Formenti
KEYWORDS:
Green’s Function, Poisson Equation, Particle Accelerator
JOURNAL NAME:
Journal of Software Engineering and Applications,
Vol.17 No.9,
September
20,
2024
ABSTRACT: The solution of Poisson’s Equation plays an important role in many areas, including modeling high-intensity and high-brightness beams in particle accelerators. For the computational domain with a large aspect ratio, the integrated Green’s function method has been adopted to solve the 3D Poisson equation subject to open boundary conditions. In this paper, we report on the efficient implementation of this method, which can save more than a factor of 50 computing time compared with the direct brute force implementation and its improvement under certain extreme conditions.