Analysis of elastic wave simulation accuracy with discontinuous Galerkin finite element method based on triangular meshes

被引：0
|
作者：
Han D. [1 ,2 ]
Liu W. [1 ,2 ]
Si W. [1 ,2 ]
机构：
[1] SINOPEC Geophysical Research Institute, Nanjing
[2] SINOPEC Key Laboratory of Geophysics, Nanjing
来源：
Shiyou Diqiu Wuli Kantan/Oil Geophysical Prospecting | 2021年 / 56卷 / 04期
关键词：
Discontinuous Galerkin finite-element method; Numerical dispersion; Numerical dissipation; Runge-Kutta time scheme; Stability analysis; Triangular mesh;
D O I：
10.13810/j.cnki.issn.1000-7210.2021.04.009
中图分类号：
学科分类号：
摘要：
Accuracy analysis is the foundation for numerical simulation of seismic waves. With regard to the numerical stability, dispersion, and dissipation of the discontinuous Galerkin finite element method (DGFEM) based on triangular meshes, a triangular periodic mesh model is constructed, which can be used to study the effects of different triangular elements on simulation accuracy. The theoretical and numerical results show that the stability condition of the DGFEM based on the Runge-Kutta time scheme is related to the shape of triangle elements. The maximum time step for stable mode-ling has a linear relationship with the radius of the inscribed circle of the element, and the equilateral triangle element has the least rigorous stability condition. Meanwhile, the wave field from DGFEM simulation based on the local Lax-Friedrichs flux shows weak dispersion but strong dissipation, and both dispersion and dissipation present directivity in the periodic mesh. In addition, the logarithm of the modeling error has a linear relationship with that of the mesh size. The numerical experiments compare the influence of different mesh shapes on the wave field and verify the theoretical directional difference. The results of this paper can provide a theoretical basis for the triangular mesh division, parameter setting, and selection of numerical flow in DGFEM. © 2021, Editorial Department OIL GEOPHYSICAL PROSPECTING. All right reserved.
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页码：758 / 770
页数：12
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