A local energy-preserving scheme for Zakharov system
In this paper, we propose a local conservation law for the Zakharov system. The property is held in any local time- space region which is independent of the boundary condition and more essential than the global energy conservation law. Based on the rule that the numerical methods should preserve the...
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| Published in | Chinese physics B Vol. 27; no. 2; pp. 228 - 233 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.02.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 |
| DOI | 10.1088/1674-1056/27/2/020202 |
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| Summary: | In this paper, we propose a local conservation law for the Zakharov system. The property is held in any local time- space region which is independent of the boundary condition and more essential than the global energy conservation law. Based on the rule that the numerical methods should preserve the intrinsic properties as much as possible, we propose a local energy-preserving （LEP） scheme for the system. The merit of the proposed scheme is that the local energy conservation law can be conserved exactly in any time-space region. With homogeneous Dirchlet boundary conditions, the proposed LEP scheme also possesses the discrete global mass and energy conservation laws. The theoretical properties are verified by numerical results. |
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| Bibliography: | In this paper, we propose a local conservation law for the Zakharov system. The property is held in any local time- space region which is independent of the boundary condition and more essential than the global energy conservation law. Based on the rule that the numerical methods should preserve the intrinsic properties as much as possible, we propose a local energy-preserving （LEP） scheme for the system. The merit of the proposed scheme is that the local energy conservation law can be conserved exactly in any time-space region. With homogeneous Dirchlet boundary conditions, the proposed LEP scheme also possesses the discrete global mass and energy conservation laws. The theoretical properties are verified by numerical results. Zakharov system, local energy-preserving scheme, global mass and energy conservation laws 11-5639/O4 Qi Hong1, Jia-ling Wang2, and Yu-Shun Wang3 （ 1 Graduate School of China Academy of Engineering Physics, Beijing 100088, China 2 School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China 3 Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China） |
| ISSN: | 1674-1056 2058-3834 |
| DOI: | 10.1088/1674-1056/27/2/020202 |