A high order solver for the unbounded Poisson equation

Mads Mølholm Hejlesen; Johannes Tophøj Rasmussen; Philippe  Chatelain; Jens Honore Walther

A high order solver for the unbounded Poisson equation

Mads Mølholm Hejlesen, Johannes Tophøj Rasmussen, Philippe Chatelain, Jens Honore Walther

Université catholique de Louvain

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

This work improves upon Hockney and Eastwood's Fourier-based algorithm for the unbounded Poisson equation to formally achieve arbitrary high order of convergence without any additional computational cost. We assess the methodology on the kinematic relations between the velocity and vorticity fields.

Original language	English
Title of host publication	Proceedings of the 25th Nordic Seminar on Computational Mechanics
Editors	K. Persson, J. Revstedt, G. Sandberg, M. Wallin
Number of pages	4
Publisher	Lund University
Publication date	2012
Publication status	Published - 2012
Event	NSCM25: 25th Nordic Seminar on Computational Mechanics - University of Lund, Lund, Sweden Duration: 25 Oct 2012 → 26 Oct 2012

Conference

Conference	NSCM25
Location	University of Lund
Country/Territory	Sweden
City	Lund
Period	25/10/2012 → 26/10/2012

Keywords

Poisson solver
Unbounded domain
Numerical integration
Particle-mesh methods

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title = "A high order solver for the unbounded Poisson equation",

abstract = "This work improves upon Hockney and Eastwood's Fourier-based algorithm for the unbounded Poisson equation to formally achieve arbitrary high order of convergence without any additional computational cost. We assess the methodology on the kinematic relations between the velocity and vorticity fields.",

keywords = "Poisson solver, Unbounded domain, Numerical integration, Particle-mesh methods",

author = "Hejlesen, {Mads M{\o}lholm} and Rasmussen, {Johannes Toph{\o}j} and Philippe Chatelain and Walther, {Jens Honore}",

year = "2012",

language = "English",

editor = "K. Persson and J. Revstedt and G. Sandberg and M. Wallin",

booktitle = "Proceedings of the 25th Nordic Seminar on Computational Mechanics",

publisher = "Lund University",

note = "NSCM25 : 25th Nordic Seminar on Computational Mechanics ; Conference date: 25-10-2012 Through 26-10-2012",

}

A high order solver for the unbounded Poisson equation. / Hejlesen, Mads Mølholm; Rasmussen, Johannes Tophøj; Chatelain, Philippe et al.
Proceedings of the 25th Nordic Seminar on Computational Mechanics. ed. / K. Persson; J. Revstedt; G. Sandberg; M. Wallin. Lund University, 2012.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

TY - GEN

T1 - A high order solver for the unbounded Poisson equation

AU - Hejlesen, Mads Mølholm

AU - Rasmussen, Johannes Tophøj

AU - Chatelain, Philippe

AU - Walther, Jens Honore

PY - 2012

Y1 - 2012

N2 - This work improves upon Hockney and Eastwood's Fourier-based algorithm for the unbounded Poisson equation to formally achieve arbitrary high order of convergence without any additional computational cost. We assess the methodology on the kinematic relations between the velocity and vorticity fields.

AB - This work improves upon Hockney and Eastwood's Fourier-based algorithm for the unbounded Poisson equation to formally achieve arbitrary high order of convergence without any additional computational cost. We assess the methodology on the kinematic relations between the velocity and vorticity fields.

KW - Poisson solver

KW - Unbounded domain

KW - Numerical integration

KW - Particle-mesh methods

M3 - Article in proceedings

BT - Proceedings of the 25th Nordic Seminar on Computational Mechanics

A2 - Persson, K.

A2 - Revstedt, J.

A2 - Sandberg, G.

A2 - Wallin, M.

PB - Lund University

T2 - NSCM25

Y2 - 25 October 2012 through 26 October 2012

ER -

A high order solver for the unbounded Poisson equation

Abstract

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Keywords

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