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In this study, the meshless generalized finite difference method (GFDM) was used to simulate elastic wave propagation in the frequency domain, and the performance of this method was studied through dispersion analysis and numerical experiments. The dispersion analysis indicated that the GFDM requires approximately 5.6 grid points in a shear wavelength to suppress the dispersion error of 1% with a regular node distribution. To handle the artificial boundary reflection problem, a multiaxial convolutional perfectly matched layer (MCPML) was introduced into the meshless numerical simulation for its good performance. Numerical experiments show that the meshless generalized finite difference method can effectively avoid stepped diffraction and reduce the total number of nodes for the calculation by adopting an adaptive node distribution according to the model parameters. By comparing the memory consumption and calculation time with the 25-points finite difference method (FDM), the method proposed in this study is a reliable numerical simulation method for elastic wave simulation in the frequency domain with high calculation accuracy, less memory consumption, and good boundary absorption effect.

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Numerical simulation of elastic wave in frequency domain based on generalized finite difference method with a multiaxial convolutional perfectly matched layer boundary