Assessment of WENO schemes for numerical simulation of some hyperbolic equations using GPU

In this paper we study the implementation of WENO schemes on Graphic Processor Unit (GPU). The GPU implementation of the schemes are described for different test cases. The test cases are chosen from the linear and nonlinear and also one- and two-dimensional hyperbolic equations. Both the CPU and GP...

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Bibliographic Details
Published in:Computers & fluids 2013-07, Vol.80, p.260-268
Main Authors: Esfahanian, Vahid, Darian, Hossein Mahmoodi, Gohari, S.M. Iman
Format: Article
Language:English
Subjects:
Assessments
Central processing units
Computational fluid dynamics
Computer simulation
CUDA
Finite-difference
Graphic Processor Unit
High-order methods
Mathematical analysis
Mathematical models
Microprocessors
Optimization
Shock-capturing schemes
Solvers
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Summary:In this paper we study the implementation of WENO schemes on Graphic Processor Unit (GPU). The GPU implementation of the schemes are described for different test cases. The test cases are chosen from the linear and nonlinear and also one- and two-dimensional hyperbolic equations. Both the CPU and GPU versions of all the solvers are developed. The computational time of each test case using different schemes is obtained and the speedups are reported for different number of grid points. Also, two different GPUs are utilized and an occupancy analysis is performed for each of the GPUs. The numerical experiments show the speedups for the WENO schemes are more than that of the first-order upwind scheme and are very promising. Furthermore, the occupancy analysis indicates the occupancy is optimal for the presented simulations.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2012.02.031