Reprint Server

Efficient Treatment of Space Charge Effects Using DA-based FMM Methods

Abstract

We present a fast multipole method based on differential algebraic methods for the calculation of the self-fields of all charged particles on each other inside a bunch in tracking simulations. It relies on an automatic multigrid-based decomposition of charges in near and far regions and the use of high-order differential algebra methods to obtain decompositions of far fields that lead to an error that scales geometrically with the order. Different from direct summation, the computational expense scales linear with the particle number. Some simulation results are presented to illustrate the practical performance of the method for realistic problems.

H. Zhang, M. Berz, Vestnik Mathematica 10,4 (2014) 97-107

Download

Click on the icon to download the corresponding file.

Download Adobe PDF version (342626 Bytes).

Go Back to the reprint server.
Go Back to the home page.

This page is maintained by Kyoko Makino. Please contact her if there are any problems with it.