A parallel implementation of the fast multipole method for Maxwell's equations

2003 ◽  
Vol 43 (8) ◽  
pp. 839-864 ◽  
Author(s):  
Pascal Havé
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Parallel Implementation ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Multipole Method

Parallel implementation of fast multipole method based on JASMIN

2011 ◽  
Vol 54 (4) ◽  
pp. 757-766 ◽  
Author(s):  
XiaoLin Cao ◽  
ZeYao Mo ◽  
Xu Liu ◽  
XiaoWen Xu ◽  
AiQing Zhang
Keyword(s):  
Parallel Implementation ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Multipole Method

A Parallel Adaptive Fast Multipole Method for High Performance Vortex Method Based Simulations

1999 ◽  
Author(s):  
James P. Collins ◽  
Athanassios A. Dimas ◽  
Peter S. Bernard
Keyword(s):  
Turbulent Flows ◽  
High Performance ◽  
Message Passing Interface ◽  
Parallel Implementation ◽  
Fast Multipole Method ◽  
Vortex Method ◽  
Vortex Filament ◽  
Fast Multipole ◽  
Replication Process ◽  
Multipole Method

Abstract A fast vortex method for the simulation of turbulent flows based on a parallel implementation of the Fast Multipole Method (FMM) is presented. The vortex method includes a hybrid vortex filament/sheet representation of the flow field, a vortex filament creation model that imitates the physical vortex self-replication process, and a hairpin removal and reconnection mechanism to limit the number and scale of vortical structures to those that are dynamically essential. The FMM, which is used to reduce the operation count in computing the velocity field, is the main focus of this paper. Two related FMM methods, referred to as the uniform and the adaptive FMM, are described. Both methods are parallelized using the Message Passing Interface (MPI) library, and timings for single and multiple processor calculations are given. Results are presented from a simulation of the flow past a prolate spheroid in a uniform stream at 30° angle of attack.

A Fourier-series-based kernel-independent fast multipole method

2011 ◽  
Vol 230 (15) ◽  
pp. 5807-5821 ◽  
Author(s):  
Bo Zhang ◽  
Jingfang Huang ◽  
Nikos P. Pitsianis ◽  
Xiaobai Sun
Keyword(s):  
Fourier Series ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Multipole Method
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