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GPU Acceleration for General Conservation Equations and its Application to several Engineering Problems

Fang-An Kuo, Matthew R. Smith, Chih-Wei Hsieh, Chau-Yi Chou, Jong-Shinn Wu
National Center for High-performance Computing, HsinChu Taiwan
Computers & Fluids (16 October 2010)

@article{kuo2010gpu,

   title={GPU Acceleration for General Conservation Equations and its Application to several Engineering Problems},

   author={Kuo, F.A. and Smith, M.R. and Hsieh, C.W. and Chou, C.Y. and Wu, J.S.},

   journal={Computers & Fluids},

   issn={0045-7930},

   year={2010},

   publisher={Elsevier}

}

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Presented is a general method for conservation equations called SHLL (split HLL) applied using Graphics Processing Unit (GPU) acceleration. The SHLL method is a purely vector-split approximation of the classical HLL method [Harten, Lax and van Leer, 1983] which assumes the presence of local wave propagation in the algabraic derivation of fluxes across cell surfaces. The conventional HLL flux expression terms are interface-split and wave propagation velocities estimated (where required) based on local conditions. Due to the highly local nature of the SHLL fluxes, the scheme is very efficiently applied to GPU computation since the flux, initialisation and update phases of the computation are all vectorized processes. The SHLL scheme is applied to GPU computating using Nvidia
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