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

被引:1
|
作者
Altybay A. [1 ]
Darkenbayev D. [2 ]
Mekebayev N. [3 ]
机构
[1] Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, Almaty
[2] Department of Computer Science, Al-Farabi Kazakh National University, Almaty
[3] Department of Computer Science, Kazakh National Women’s Pedagogical University, Almaty
关键词
CUDA technology; GPU; graphics processing unit; numerical simulation; parallel computing; wave equation;
D O I
10.1504/IJSPM.2023.138584
中图分类号
学科分类号
摘要
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 © 2023 Inderscience Enterprises Ltd.
引用
收藏
页码:298 / 305
页数:7
相关论文
共 50 条
  • [21] Soliton stability and numerical simulation for the (2+1)-dimensional variable-coefficient breaking soliton equation in fluids and plasmas
    Hu, Cong-Cong
    NONLINEAR DYNAMICS, 2025, : 12037 - 12045
  • [22] Analytical and numerical studies of the variable-coefficient Gardner equation
    Nakoulima, O
    Zahibo, N
    Pelinovsky, E
    Talipova, T
    Slunyaev, A
    Kurkin, A
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (02) : 449 - 471
  • [23] Wave equation for underground viscoelastic media and wavefield numerical simulation
    Song Li-Wei
    Shi Ying
    Chen Shu-Min
    Ke Xuan
    Hou Xiao-Hui
    Liu Zhi-Qi
    ACTA PHYSICA SINICA, 2021, 70 (14)
  • [24] Optimal error analysis of the spectral element method for the 2D homogeneous wave equation
    Aldirany, Ziad
    Cottereau, Regis
    Laforest, Marc
    Prudhomme, Serge
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 119 : 241 - 256
  • [25] Numerical simulation of 2D seismic wave-field used combined compact difference scheme
    Wang Yong
    Shi HaoGuo
    Zhou ChengYao
    Gui ZhiXian
    CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION, 2018, 61 (11): : 4568 - 4583
  • [26] Numerical analysis and simulation for a nonlinear wave equation
    Rincon, M. A.
    Quintino, N. P.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 296 : 247 - 264
  • [27] Accelerating 2D orthogonal matching pursuit algorithm on GPU
    Dai, Yuan
    He, Dongjian
    Fang, Yong
    Yang, Long
    JOURNAL OF SUPERCOMPUTING, 2014, 69 (03) : 1363 - 1381
  • [28] Accelerating 2D orthogonal matching pursuit algorithm on GPU
    Yuan Dai
    Dongjian He
    Yong Fang
    Long Yang
    The Journal of Supercomputing, 2014, 69 : 1363 - 1381
  • [29] Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation
    Subasi, Murat
    Araz, Seda Igret
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A5): : 2325 - 2333
  • [30] Numerical simulation of thrust vector control for a 2D nozzle
    WangBo
    An Yuge
    Zhang Man
    Zheng Yuan
    CURRENT DEVELOPMENT OF MECHANICAL ENGINEERING AND ENERGY, PTS 1 AND 2, 2014, 494-495 : 420 - +