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Assessment of WENO schemes for multi‐dimensional Euler equations using GPU
Author(s) -
Darian Hossein Mahmoodi,
Esfahanian Vahid
Publication year - 2014
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3964
Subject(s) - computer science , euler equations , grid , euler's formula , computational science , code (set theory) , mathematics , computational fluid dynamics , backward euler method , cuda , parallel computing , algorithm , mathematical analysis , geometry , physics , mechanics , set (abstract data type) , programming language
SUMMARY 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.