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A Hybrid Chebyshev Pseudo-Spectral Finite-Difference Time-Domain Method for Numerical Simulation of 2D Acoustic Wave Propagation

Author

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  • Xiaozhong Tong

    (Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring, Ministry of Education, Central South University, Changsha 410083, China
    Key Laboratory of Non-Ferrous and Geological Hazard Detection, Central South University, Changsha 410083, China
    School of Geosciences and Info-Physics, Central South University, Changsha 410083, China)

  • Ya Sun

    (Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring, Ministry of Education, Central South University, Changsha 410083, China
    Key Laboratory of Non-Ferrous and Geological Hazard Detection, Central South University, Changsha 410083, China
    School of Geosciences and Info-Physics, Central South University, Changsha 410083, China)

Abstract

In this study, a hybrid Chebyshev pseudo-spectral finite-difference time-domain (CPS-FDTD) algorithm is proposed for simulating 2D acoustic wave propagation in heterogeneous media, which is different from the other traditional numerical schemes such as finite element and finite difference. This proposed hybrid method integrates the efficiency of the FDTD approach in the time domain and the high accuracy of the CPS technique in the spatial domain. We present the calculation formulas of this novel approach and conduct simulation experiments to test it. The biconjugate gradient is solved by combining the large symmetric sparse systems stabilized algorithm with an incomplete LU factorization. Three numerical experiments are further presented to illustrate the accuracy, efficiency, and flexibility of the hybrid CPS-FDTD algorithm.

Suggested Citation

  • Xiaozhong Tong & Ya Sun, 2023. "A Hybrid Chebyshev Pseudo-Spectral Finite-Difference Time-Domain Method for Numerical Simulation of 2D Acoustic Wave Propagation," Mathematics, MDPI, vol. 12(1), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2023:i:1:p:117-:d:1310006
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    References listed on IDEAS

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    1. Liao, Wenyuan & Yong, Peng & Dastour, Hatef & Huang, Jianping, 2018. "Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 385-400.
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