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    Scalable fast multipole accelerated vortex methods

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    Type
    Conference Paper
    Authors
    Hu, Qi
    Gumerov, Nail A.
    Yokota, Rio cc
    Barba, Lorena A.
    Duraiswami, Ramani
    KAUST Department
    Extreme Computing Research Center
    Date
    2014-05
    Permanent link to this record
    http://hdl.handle.net/10754/575821
    
    Metadata
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    Abstract
    The fast multipole method (FMM) is often used to accelerate the calculation of particle interactions in particle-based methods to simulate incompressible flows. To evaluate the most time-consuming kernels - the Biot-Savart equation and stretching term of the vorticity equation, we mathematically reformulated it so that only two Laplace scalar potentials are used instead of six. This automatically ensuring divergence-free far-field computation. Based on this formulation, we developed a new FMM-based vortex method on heterogeneous architectures, which distributed the work between multicore CPUs and GPUs to best utilize the hardware resources and achieve excellent scalability. The algorithm uses new data structures which can dynamically manage inter-node communication and load balance efficiently, with only a small parallel construction overhead. This algorithm can scale to large-sized clusters showing both strong and weak scalability. Careful error and timing trade-off analysis are also performed for the cutoff functions induced by the vortex particle method. Our implementation can perform one time step of the velocity+stretching calculation for one billion particles on 32 nodes in 55.9 seconds, which yields 49.12 Tflop/s.
    Citation
    Hu, Q., Gumerov, N. A., Yokota, R., Barba, L., & Duraiswami, R. (2014). Scalable Fast Multipole Accelerated Vortex Methods. 2014 IEEE International Parallel & Distributed Processing Symposium Workshops. doi:10.1109/ipdpsw.2014.110
    Publisher
    Institute of Electrical and Electronics Engineers (IEEE)
    Journal
    2014 IEEE International Parallel & Distributed Processing Symposium Workshops
    Conference/Event name
    28th IEEE International Parallel and Distributed Processing Symposium Workshops, IPDPSW 2014
    ISBN
    9780769552088
    DOI
    10.1109/IPDPSW.2014.110
    ae974a485f413a2113503eed53cd6c53
    10.1109/IPDPSW.2014.110
    Scopus Count
    Collections
    Conference Papers; Extreme Computing Research Center; Extreme Computing Research Center

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