標題: GPU acceleration for general conservation equations and its application to several engineering problems
作者: Kuo, Fang-An
Smith, Matthew R.
Hsieh, Chih-Wei
Chou, Chau-Yi
Wu, Jong-Shinn
機械工程學系
Department of Mechanical Engineering
關鍵字: Finite volume method;Graphics Processing Unit (GPU);Computational Fluid Dynamics (CFD);Vector-split fluxes;Parallel computation
公開日期: 1-Jun-2011
摘要: 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 et al.. 1983 [1]) which assumes the presence of local wave propagation in the algebraic 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's CUDA package. Numerical schemes are presented for solutions to the general transport (convection-diffusion) equation, Euler Equations and Shallow Water Equations with results presented for several benchmark gas and shallow water flow engineering problems. Computational times are compared between high-end GPU (Nvidia C1060) and CPU (Intel Xeon 3.0 GHz, 32 MB cache) systems with reported speedups of over 67 times when applied to two dimensional simulations with multi-million cell numbers. (C) 2010 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.compfluid.2010.10.007
http://hdl.handle.net/11536/22857
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2010.10.007
期刊: COMPUTERS & FLUIDS
Volume: 45
Issue: 1
起始頁: 147
結束頁: 154
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