Accelerating the discontinuous Galerkin cell-vertex scheme solver on GPU-powered systems Online publication date: Fri, 29-Nov-2019
by Xiaoqi Hu; Mengshen Zhao; Shuang Z. Tu; Byunghyun Jang
International Journal of Computational Science and Engineering (IJCSE), Vol. 20, No. 2, 2019
Abstract: The discontinuous Galerkin cell-vertex scheme (DG-CVS) is a high-order space-time Riemann-solver-free numerical solver for general hyperbolic conservation laws. It fuses the discontinuous Galerkin (DG) method and the conservation element/solution element (CE/SE) method to take advantage of the best features of both methods. In DG-CVS, the time derivatives of the solution are treated as independent unknowns together with spatial derivatives of the solution, which is amendable to a GPU's parallel execution style. In a GPU environment, this type of scientific application poses challenges, such as high thread divergence, low kernel occupancy, and hardware-unfriendly memory access patterns. This paper presents various optimisations that address those issues. Our proposed optimisations include thread remapping, register pressure reduction as well as software-managed cache memory utilisation. DG-CVS is accelerated by up to 54% on AMD HD7970 GPU, when compared to CPU only execution.
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