中国物理B ›› 2018, Vol. 27 ›› Issue (2): 20202-020202.doi: 10.1088/1674-1056/27/2/020202
A local energy-preserving scheme for Zakharov system
Qi Hong(洪旗), Jia-ling Wang(汪佳玲), Yu-Shun Wang(王雨顺)
- 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
A local energy-preserving scheme for Zakharov system
Qi Hong(洪旗)1, Jia-ling Wang(汪佳玲)2, Yu-Shun Wang(王雨顺)3
- 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
摘要： 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.
中图分类号: (Numerical simulation; solution of equations)
- 02.60.Cb