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

Altybay A. Darkenbayev D. Mekebayev N.
2023 Inderscience Publishers

International Journal of Simulation and Process Modelling
2023 #20 Issue 4 298 - 305 pp.

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. Copyright

CUDA technology , GPU , graphics processing unit , numerical simulation , parallel computing , wave equation

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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

Institute of Mathematics and Mathematical Modeling
Department of Computer Science
Department of Computer Science

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026