Title: Numerical simulation and GPU computing for the 2D wave equation with variable coefficient

Authors: Arshyn Altybay; Dauren Darkenbayev; Nurbapa Mekebayev

Addresses: Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Almaty, Kazakhstan ' Department of Computer Science, Al-Farabi Kazakh National University, Almaty, Kazakhstan ' Department of Computer Science, Kazakh National Women's Pedagogical University, Almaty, Kazakhstan

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.

Keywords: numerical simulation; graphics processing unit; GPU; CUDA technology; wave equation; parallel computing.

DOI: 10.1504/IJSPM.2023.138584

International Journal of Simulation and Process Modelling, 2023 Vol.20 No.4, pp.298 - 305

Received: 11 Jul 2023
Accepted: 24 Oct 2023
Published online: 13 May 2024 *

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