Symplectic RKN schemes for seismic scalar wave simulations
文献类型：期刊论文
| 作者 | Liu Shao-Lin1,2; Li Xiao-Fan1; Liu You-Shan1,2; Chen Shi-Zhong1,2 |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 2013-12-01 |
| 卷号 | 56期号:12页码:4197-4205 |
| 关键词 | Acoustic wave Symplectic RNK scheme Truncated error Stability Dispersion relation |
| ISSN号 | 0001-5733 |
| DOI | 10.6038/cjg20131222 |
| 文献子类 | Article |
| 英文摘要 | 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. |
| WOS关键词 | SPECTRAL-ELEMENT METHOD ; FINITE-DIFFERENCE METHOD ; HIGH-ORDER ; HETEROGENEOUS MEDIA ; ANISOTROPIC MEDIA ; PROPAGATION ; EQUATIONS ; ALGORITHM ; BASIN |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000329378600022 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/87286]  |
| 专题 | 中国科学院地质与地球物理研究所 |
| 通讯作者 | Liu Shao-Lin |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Earths Deep Interior, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu Shao-Lin,Li Xiao-Fan,Liu You-Shan,et al. Symplectic RKN schemes for seismic scalar wave simulations[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2013,56(12):4197-4205. |
| APA | Liu Shao-Lin,Li Xiao-Fan,Liu You-Shan,&Chen Shi-Zhong.(2013).Symplectic RKN schemes for seismic scalar wave simulations.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,56(12),4197-4205. |
| MLA | Liu Shao-Lin,et al."Symplectic RKN schemes for seismic scalar wave simulations".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 56.12(2013):4197-4205. |
入库方式： OAI收割
来源：地质与地球物理研究所
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