SCHEDULE: NOV 10-16, 2012
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Scalable Fast Multipole Methods for Vortex Element Methods
SESSION: Research Poster Reception
EVENT TYPE: Posters and Electronic Posters
TIME: 5:15PM - 7:00PM
SESSION CHAIR: Torsten Hoefler
AUTHOR(S):Qi Hu, Nail A. Gumerov, Rio Yokota, Lorena Barba, Ramani Duraiswami
ROOM:East Entrance
ABSTRACT:
We use a particle-based method to simulate incompressible
flows, where the Fast Multipole Method (FMM) is used
to accelerate the calculation of particle interactions. The
most time-consuming kernelsthe Biot-Savart equation and
stretching term of the vorticity equationare mathematically
reformulated so that only two Laplace scalar potentials are
used instead of six, while automatically ensuring divergencefree
far-field computation. Based on this formulation, and
on our previous work for a scalar heterogeneous FMM
algorithm, we develop a new FMM-based vortex method
capable of simulating general flows including turbulence on
heterogeneous architectures. Our work for this poster focuses
on the computation perspective and our implementation can
perform one time step of the velocity+stretching for one billion
particles on 32 nodes in 55.9 seconds, which yields 49.12
Tflop/s
Chair/Author Details:
Torsten Hoefler (Chair) - ETH Zurich
Qi Hu - University of Maryland
Nail A. Gumerov - University of Maryland
Rio Yokota - King Abdullah University of Science & Technology
Lorena Barba - Boston University
Ramani Duraiswami - University of Maryland
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Scalable Fast Multipole Methods for Vortex Element Methods
SESSION: Research Poster Reception
EVENT TYPE:
TIME: 5:15PM - 7:00PM
SESSION CHAIR: Torsten Hoefler
AUTHOR(S):Qi Hu, Nail A. Gumerov, Rio Yokota, Lorena Barba, Ramani Duraiswami
ROOM:East Entrance
ABSTRACT:
We use a particle-based method to simulate incompressible
flows, where the Fast Multipole Method (FMM) is used
to accelerate the calculation of particle interactions. The
most time-consuming kernelsthe Biot-Savart equation and
stretching term of the vorticity equationare mathematically
reformulated so that only two Laplace scalar potentials are
used instead of six, while automatically ensuring divergencefree
far-field computation. Based on this formulation, and
on our previous work for a scalar heterogeneous FMM
algorithm, we develop a new FMM-based vortex method
capable of simulating general flows including turbulence on
heterogeneous architectures. Our work for this poster focuses
on the computation perspective and our implementation can
perform one time step of the velocity+stretching for one billion
particles on 32 nodes in 55.9 seconds, which yields 49.12
Tflop/s
Chair/Author Details:
Torsten Hoefler (Chair) - ETH Zurich
Qi Hu - University of Maryland
Nail A. Gumerov - University of Maryland
Rio Yokota - King Abdullah University of Science & Technology
Lorena Barba - Boston University
Ramani Duraiswami - University of Maryland
Click here to download .ics calendar file