PAC2013 - List of Authors (Gee, A.J.)

Paper	Title	Page
MOPBA15	Study and Comparison of the Method of Moments and the Single Level Fast Multipole Method for 2D Space Charge Tracking	207
	A.J. Gee, B. Erdelyi Northern Illinois University, DeKalb, Illinois, USA B. Erdelyi ANL, Argonne, USA
	Funding: Partially funded by Department of Energy, Office of High Energy Physics under Contract No. DE-FG02-08ER41532. Strong space charge is a significant impediment in charged particle beam physics, particularly at the high intensity frontier. For future applications, where particles must occupy the smallest region possible, quickly and accurately and efficient modeling space charge modeling is essential, for instance, to minimize the space charge contribution to beam dispersion. In this paper, we study and compare the performance for the method of moments (MoM) and the single-level fast multipole method (SLFMM) in 2D. The method of moments has been widely used to solve computational electromagnetic problems but assumes a series-expandable smooth distribution function, limiting its reliability in some cases. The fast multipole method was more recently developed and shows remarkable accuracy with difficult beam distributions. We demonstrate these methods using a simplified version of the University of Maryland electron ring (UMER). We present some multi-particle tracking results obtained using these methods. Future work will study the space charge inclusive transfer maps calculated from these methods.

Paper

Title

Page

Study and Comparison of the Method of Moments and the Single Level Fast Multipole Method for 2D Space Charge Tracking

207

A.J. Gee, B. Erdelyi
Northern Illinois University, DeKalb, Illinois, USA
B. Erdelyi
ANL, Argonne, USA

Funding: Partially funded by Department of Energy, Office of High Energy Physics under Contract No. DE-FG02-08ER41532.
Strong space charge is a significant impediment in charged particle beam physics, particularly at the high intensity frontier. For future applications, where particles must occupy the smallest region possible, quickly and accurately and efficient modeling space charge modeling is essential, for instance, to minimize the space charge contribution to beam dispersion. In this paper, we study and compare the performance for the method of moments (MoM) and the single-level fast multipole method (SLFMM) in 2D. The method of moments has been widely used to solve computational electromagnetic problems but assumes a series-expandable smooth distribution function, limiting its reliability in some cases. The fast multipole method was more recently developed and shows remarkable accuracy with difficult beam distributions. We demonstrate these methods using a simplified version of the University of Maryland electron ring (UMER). We present some multi-particle tracking results obtained using these methods. Future work will study the space charge inclusive transfer maps calculated from these methods.