Short Note: Controlling self-force errors at refinement boundaries for AMR-PIC

Authors:
Phillip Colella;Peter C. Norgaard
Affiliations:
Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA;Mechanical and Aerospace Engineering Department, Princeton University Princeton, NJ 08540, USA
Venue:
Journal of Computational Physics
Year:
2010

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Abstract

We analyze the source of the self-force errors in the node-centered adaptive-mesh-refinement particle-in-cell (AMR-PIC) algorithm and propose a method for reducing those self-forces. Our approach is based on a method of charge deposition due to Mayo [A. Mayo, The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM Journal of Numerical Analysis 21(2) (1984) 285-299] that can reduce the self-force error to any specified degree of accuracy.