Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Optimized staggered multistep discontinuous Galerkin method for wavefield simulation. |
| Συγγραφείς: |
Zhu, Si-biao1 (AUTHOR), Huang, Jian-dong2,3 (AUTHOR) huangjd_zljs@sina.com, Fang, Zhi-long4 (AUTHOR), He, Xi-jun5 (AUTHOR), Wen, Jin1 (AUTHOR), Wang, Yong-fei1 (AUTHOR), Xu, Xiao-bing1 (AUTHOR) |
| Πηγή: |
Applied Geophysics: Bulletin of Chinese Geophysical Society. Sep2026, p1-13. 13p. |
| Θεματικοί όροι: |
*Galerkin methods, *Wave equation, *Numerical grid generation (Numerical analysis), *Numerical analysis, *Theory of wave motion, *Time integration scheme, *Optimization algorithms |
| Περίληψη: |
The discontinuous Galerkin (DG) method shows great application potential for solving wave equations in computational geophysics, because of its excellent ability to accurately capture discontinuous solutions, suppress numerical dispersion, and support flexible mesh adaptation. In this study, we derive an optimized staggered Adams scheme. A key advantage of the staggered Adams scheme is its high computational efficiency, and the optimized formulation we propose is specifically designed to achieve optimal numerical stability. We combine the scheme with the interior penalty discontinuous Galerkin (IPDG) method for solving wave equations. Comprehensive analyzes of numerical stability and dispersion for acoustic equation are conducted, which demonstrate that the developed method effectively improves computational efficiency and maintains the ability to suppress numerical dispersion. We perform numerical experiments on multiple benchmark models for the staggered Adams DG method, including the isotropic model, three-layer model, corner model, and Marmousi model. The results show that the computational efficiency of the proposed method is more than 3 times that of the traditional third-order classic Runge–Kutta DG method. In addition, numerical tests on interface models confirm that the method introduces no obvious numerical dispersion at media interfaces. Overall, the proposed method has favorable prospects for large-scale wavefield simulations. [ABSTRACT FROM AUTHOR] |
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