Description: Green’s function enriched Poisson solver for electrostatics in many-particle systems

This title appears in the Scientific Report : 2016

Green’s function enriched Poisson solver for electrostatics in many-particle systems

A highly accurate method is presented for the construction of the charge density for the solution of the Poissonequation in particle simulations. The method is based on an operator adjusted source term which can be shown to produceexact results up to numerical precision in the case of a large suppor...

Personal Name(s):	Sutmann, Godehard (Corresponding author)
Contributing Institute:	Jülich Supercomputing Center; JSC
Imprint:	Melville American Institute of Physics 2016
Physical Description:	480092
ISBN:	978-0-7354-1392-4
DOI:	10.1063/1.4952328
Conference:	International Conference of Numerical Analysis and Applied Mathematics 2015, Rhodes (Greece), 2015-09-22 - 2015-09-29
Document Type:	Contribution to a book Contribution to a conference proceedings
Research Program:	Computational Science and Mathematical Methods
Series Title:	AIP Conference Proceedings 1738
Subject (ZB):	Numerische Mathematik Angewandte Mathematik
	Publikationsportal JuSER

Please use the identifier: http://dx.doi.org/10.1063/1.4952328 in citations.

A highly accurate method is presented for the construction of the charge density for the solution of the Poissonequation in particle simulations. The method is based on an operator adjusted source term which can be shown to produceexact results up to numerical precision in the case of a large support of the charge distribution, therefore compensating thediscretization error of finite difference schemes. This is achieved by balancing an exact representation of the known Green’sfunction of regularized electrostatic problem with a discretized representation of the Laplace operator. It is shown that theexact calculation of the potential is possible independent of the order of the finite difference scheme but the computationalefficiency for higher order methods is found to be superior due to a faster convergence to the exact result as a function of thecharge support.