17th Advanced Accelerator Concepts Workshop

Fast Multipole Method for Coulomb Interaction and Other Non-Oscillating Interaction Using Cartesian Tensor and Differential Algebra

2 Aug 2016, 13:30

20m

Baltimore 2 (Gaylord Hotel)

Oral Working Group 2 WG2

Abstract

A new fast multipole method (FMM) using traceless totally symmetric Cartesian tensor has been developed to calculate the Coulomb interaction between charged particles. We will present the formulization, the accuracy and the efficiency of the new algorithm, and examples of using the FMM in beam dynamic simulations. We will also discuss how to extend our new algorithm to other non-oscillating interactions with the help of the differential algebra.

Presentation Materials

pictures

boundary_-_BIE.png

boundary_-_boundary_condition.png

boundary_-_linar_system.png

boundary-Possion_eq.png

example-100.png

example-70.png

example-80.png

example-90.png

example-dz.png

example-setup.png

example-shadow.png

example-tracking2.png

example-tracking.png

noise-Gaussian.png

noise-model.png

Numerical-linear.png

other-L.png

other-ML.png

other-M.png

other-taylor.png

strategy-operation.png

strategy-relation.png

strategy-tree.png

traceless-E.png

traceless-LL.png

traceless-L.png

traceless-ML.png

traceless-MM.png

traceless-M.png

traceless-MtoL.png

Slides

Fast_Multipole_Method_for_Coulomb_Interaction_and_Other_Non-Oscillating_Interaction_Using_Cartesian_Tensor_and_Differential_Algebra.pptx

summary

Summary.pptx