- 责任者：Liu Shaolin (Key Laboratory of Earth’s Deep Interior ; Institute of Geology and Geophysics ; Chinese Academy of Sciences ; Beijing 100029 ; China) ; Li Xiaofan
- 刊名：Chinese Journal of Geophysics
- 出版年：2013
- 卷期：56(12)
- 关键词：声波 ; acoustical waves ; 波动方程 ; wave equation
- 页码：p.4197-4205
- 图表：7 illus., 3 tables, 40 refs.
- 分类号：1600
- issnNo：ISSN0001-5733
- isbnNo：CN11-2074/P
In this paper, seismic scalar wave equation is transformed into Hamiltonian system, a second-order explicit Runge-Kutta-Nystrom （RKN） scheme is proposed for high-efficient acoustic wave simulations. The order conditions are obtained by the rooted trees theory. For order conditions with two free coefficients, a minimum error scheme is obtained based on the minimum error truncations in the third order terms. We analyze the acoustic time advancing equation and choose coefficients to promote the stability limit, and then we develop optimized stable scheme. In dispersion relation analysis, the third optimal symplectic RKN scheme is constructed to substantially eliminate numerical dispersion. The theoretical properties of this set of symplectic RKN schemes possess greater power than other common schemes in terms of errors controlling, numerical dispersion suppressing and stability promoting. Finally, we present numerical results to verify the theoretical analysis.