An influence matrix particle-particle particle-mesh algorithm with exact particle-particle correction.
type: Item
instance of: scholarly article
title: An influence matrix particle-particle particle-mesh algorithm with exact particle-particle correction.
zbMATH Open document ID: 1063.78026
DOI: 10.1016/S0021-9991(02)00035-9
published in: Journal of Computational Physics
publication date: 2003-05-20T00:00:00Z
review text: Well-established methods for the solution of the \(N\)-body problem occurring in chemistry, fluid dynamics and astrophysics are the particle-particle (PP) method, the particle-mesh (PM) method and the particle-particle particle-mesh (PPPM) method. PPPM algorithms are applied for particle systems with non-smooth density fields where the exact force field will contain sub-grid scales not resolved by PM algorithms but by an explicit PP correction. In this paper the author gives a new approach to the PPPM algorithm. The goal of the presented method is the application of an accurate influence matrix technique. It allows specific cancellations of the anisotropic sub-grid scales not using Fourier space. Hence the application of other fast field solvers than FFT based algorithms is possible. The proposed influence matrix PPPM algorithm improves the overall accuracy of the method compared to other approaches at the same computational costs.
reviewed by: Ursula van Rienen
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 78A30
zbMATH DE Number: 1913904
zbMATH Keywords: particle-particle particle-mesh algorithm
zbMATH Keywords: particle methods
zbMATH Keywords: N-body problem
zbMATH Keywords: Coulomb interaction
zbMATH Keywords: electrostatic interaction
zbMATH Keywords: influence matrix
author: Jens H. Walther
MaRDI profile type: Publication
cites work: Q3996938
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full work available at URL: s0021-9991(02)00035-9
OpenAlex ID: W2087568854
description: scientific article; zbMATH DE number 1913904