Numerical simulation and GPU computing for the 2D wave equation with variable coefficient Online publication date: Mon, 13-May-2024
by Arshyn Altybay; Dauren Darkenbayev; Nurbapa Mekebayev
International Journal of Simulation and Process Modelling (IJSPM), Vol. 20, No. 4, 2023
Abstract: In this paper, we present parallel numerical implementations of a 2D wave equation with a variable coefficient on GPU. We considered wave propagation simulations in shallow water areas caused by underwater movement and performed some numerical simulations at different time steps. The sequential algorithm is based on the implicit finite difference scheme and the parallel cyclic reduction (PCR) method. The parallel code was developed using CUDA technology and tested on different domain sizes. Performance analysis showed that our parallel approach showed a good speedup compared to sequential CPU code. The proposed parallel visualisation simulator can serve as a good tool for numerous water management systems in engineering practices.
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