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GPU-accelerated direct numerical simulation of Burgers equation by CUDA Fortran

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.2260
pages 2192-2202

Shin-ichi Satake
Department of Applied Electronics, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585 Japan

Hajime Yoshimori
Department of Applied Electronics, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba, 278-8510, Japan

Abstract

Many kinds of scientific computations have been carried out using the FORTRAN language. In this paper, we focus on a technique "solver" for solving Burgers equation, which is one of the simple problems in fluid dynamics. Recently, a GPU (Graphics Processing Unit) has been added with FORTRAN programming language capability by employing CUDA (Compute Unified Device Architecture) and known as CUDA Fortran. We now propose a technique to accelerate this "solver" using GPU and CUDA Fortran. In double-precision computing, we show that the "solver" can be computed over 14 times faster than when computed by CPU alone. Moreover, the optimization techniques which use Coalesced Access and Shared Memory are used in the GPU computations. The processing can be achieved in its theoretical performance by the estimation of operating times on the Discretized Burgers equation. The computations also obtained the scalability.

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