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Assessment of WENO schemes for multi‐dimensional Euler equations using GPU
Authors:Hossein Mahmoodi Darian  Vahid Esfahanian
Affiliation:1. Department of Basic Engineering Science, College of Engineering, University of Tehran, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Iran
Abstract:This paper presents a detailed study on the implementation of Weighted Essentially Non‐Oscillatory (WENO) schemes on GPU. GPU implementation of up to ninth‐order accurate WENO schemes for the multi‐dimensional Euler equations of gas dynamics is presented. The implementation detail is discussed in the paper. The computational times of different schemes are obtained and the speedups are reported for different number of grid points. Furthermore, the execution times for the main kernels of the code are given and compared with each other. The numerical experiments show the speedups for the WENO schemes are very promising especially for fine grids. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:graphics processing unit  CUDA  shared memory  Euler equations of gas dynamics  shock‐capturing schemes  high‐order schemes
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