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Volume 31, Issue 4
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

Yang Xu, Xiaofei Chen, Wei Zhang & Xiao Pan

DOI: 10.4208/cicp.OA-2021-0118

Commun. Comput. Phys., 31 (2022), pp. 1083-1113.

Published online: 2022-03

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  • Abstract

The discontinuous Galerkin finite element method (DG-FEM) is a high-precision numerical simulation method widely used in various disciplines. In this paper, we derive the auxiliary ordinary differential equation complex frequency-shifted multi-axial perfectly matched layer (AODE CFS-MPML) in an unsplit format and combine it with any high-order adaptive DG-FEM based on an unstructured mesh to simulate seismic wave propagation. To improve the computational efficiency, we implement Message Passing Interface (MPI) parallelization for the simulation. Comparisons of the numerical simulation results with the analytical solutions verify the accuracy and effectiveness of our method. The results of numerical experiments also confirm the stability and effectiveness of the AODE CFS-MPML.

  • Keywords

Multi-axial PML, adaptive, parallel computing, computational seismology.

  • AMS Subject Headings

86-08, 86A15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-31-1083, author = {Xu , YangChen , XiaofeiZhang , Wei and Pan , Xiao}, title = {An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling}, journal = {Communications in Computational Physics}, year = {2022}, volume = {31}, number = {4}, pages = {1083--1113}, abstract = {

The discontinuous Galerkin finite element method (DG-FEM) is a high-precision numerical simulation method widely used in various disciplines. In this paper, we derive the auxiliary ordinary differential equation complex frequency-shifted multi-axial perfectly matched layer (AODE CFS-MPML) in an unsplit format and combine it with any high-order adaptive DG-FEM based on an unstructured mesh to simulate seismic wave propagation. To improve the computational efficiency, we implement Message Passing Interface (MPI) parallelization for the simulation. Comparisons of the numerical simulation results with the analytical solutions verify the accuracy and effectiveness of our method. The results of numerical experiments also confirm the stability and effectiveness of the AODE CFS-MPML.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2021-0118}, url = {http://global-sci.org/intro/article_detail/cicp/20377.html} }
TY - JOUR T1 - An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling AU - Xu , Yang AU - Chen , Xiaofei AU - Zhang , Wei AU - Pan , Xiao JO - Communications in Computational Physics VL - 4 SP - 1083 EP - 1113 PY - 2022 DA - 2022/03 SN - 31 DO - http://doi.org/10.4208/cicp.OA-2021-0118 UR - https://global-sci.org/intro/article_detail/cicp/20377.html KW - Multi-axial PML, adaptive, parallel computing, computational seismology. AB -

The discontinuous Galerkin finite element method (DG-FEM) is a high-precision numerical simulation method widely used in various disciplines. In this paper, we derive the auxiliary ordinary differential equation complex frequency-shifted multi-axial perfectly matched layer (AODE CFS-MPML) in an unsplit format and combine it with any high-order adaptive DG-FEM based on an unstructured mesh to simulate seismic wave propagation. To improve the computational efficiency, we implement Message Passing Interface (MPI) parallelization for the simulation. Comparisons of the numerical simulation results with the analytical solutions verify the accuracy and effectiveness of our method. The results of numerical experiments also confirm the stability and effectiveness of the AODE CFS-MPML.

Xu , YangChen , XiaofeiZhang , Wei and Pan , Xiao. (2022). An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling. Communications in Computational Physics. 31 (4). 1083-1113. doi:10.4208/cicp.OA-2021-0118
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