Title
A Fourier-based elliptic solver for vortical flows with periodic and unbounded directions
Abstract
We present a computationally efficient, adaptive solver for the solution of the Poisson and Helmholtz equation used in flow simulations in domains with combinations of unbounded and periodic directions. The method relies on using FFTs on an extended domain and it is based on the method proposed by Hockney and Eastwood for plasma simulations. The method is well-suited to problems with dynamically growing domains and in particular flow simulations using vortex particle methods. The efficiency of the method is demonstrated in simulations of trailing vortices.
Year
DOI
Venue
2010
10.1016/j.jcp.2009.12.035
Journal of Computational Physics
Keywords
Field
DocType
Elliptic solver,Unbounded domain,Infinite domain,Particle methods,Vortex methods
Tourbillon,Mathematical optimization,Poisson's equation,Mathematical analysis,Vortex,Flow (psychology),Fourier transform,Helmholtz equation,Solver,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
229
7
0021-9991
Citations 
PageRank 
References 
7
0.84
2
Authors
2
Name
Order
Citations
PageRank
Philippe Chatelain16611.65
Petros Koumoutsakos2106584.99