Open Access

ARTICLE

Numerical Simulation and Parallel Computing of Acoustic Wave Equation in Isotropic-Heterogeneous Media

Arshyn Altybay^1,2,*, Niyaz Tokmagambetov^1,3

1 Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
2 Department of Computer Science, Al–Farabi Kazakh National University, Almaty, 050040, Kazakhstan
3 Centre de Recerca Matemática Edifici C, Bellaterra (Barcelona), 08193, Spain

* Corresponding Author: Arshyn Altybay. Email:

(This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)

Computer Modeling in Engineering & Sciences 2024, 141(2), 1867-1881. https://doi.org/10.32604/cmes.2024.054892

Received 11 June 2024; Accepted 03 August 2024; Issue published 27 September 2024

Abstract

In this paper, we consider the numerical implementation of the 2D wave equation in isotropic-heterogeneous media. The stability analysis of the scheme using the von Neumann stability method has been studied. We conducted a study on modeling the propagation of acoustic waves in a heterogeneous medium and performed numerical simulations in various heterogeneous media at different time steps. Developed parallel code using Compute Unified Device Architecture (CUDA) technology and tested on domains of various sizes. Performance analysis showed that our parallel approach showed significant speedup compared to sequential code on the Central Processing Unit (CPU). The proposed parallel visualization simulator can be an important tool for numerous wave control systems in engineering practice.

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Keywords

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