A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles

Reboul, Silouane de; Perrey-Debain, Emmanuel; Zerbib, Nicolas; Moreau, Stéphane

doi:10.1016/j.wavemoti.2023.103171

Cited by 2 publications

(1 citation statement)

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“…Accurate acoustic wave propagation is a highly challenging computational problem that is crucial to acoustic modeling, imaging, and inversion. To solve the time-domain or frequency-domain acoustic wave equation in a heterogeneous medium, it is necessary to apply numerical modeling techniques, such as the finite-difference time-domain (FDTD) method [1][2][3][4][5], finite-difference frequency-domain (FDFD) [6,7], finite-element time-domain (FETD) [8][9][10][11], finite-element frequency-domain (FEFD) [12], pseudo-spectral time-domain (PSTD) [13][14][15], and spectral-element time-domain (SETD) methods [16][17][18]. The FDTD method is the most popular numerical scheme for simulating acoustic wave propagation.…”

Section: Introductionmentioning

confidence: 99%

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

Tong,

Sun

2023

Mathematics

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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.

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