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 inChinese physics B Vol. 27; no. 2; pp. 228 - 233
Main Author 洪旗;汪佳玲;王雨顺
Format Journal Article
LanguageEnglish
Published 01.02.2018
Subjects
Zakharov;精力;保存;系统;能量守恒定律;空间区域;边界条件;数字方法
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/27/2/020202

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Abstract 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.
AbstractList 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.
Author 洪旗;汪佳玲;王雨顺
AuthorAffiliation Graduate School of China Academy of Engineering Physics, Beijing 100088, China;：School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China;Jiangsu Key Laboratory of NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
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Notes 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）
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SubjectTerms Zakharov;精力;保存;系统;能量守恒定律;空间区域;边界条件;数字方法
Title A local energy-preserving scheme for Zakharov system
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