W-B-K方程的多辛Preissmann格式

发布时间：2018-05-12 02:01

本文选题：Hamilton系统 + Preissmann格式　；参考：《兰州理工大学学报》2017年01期

【摘要】：引入正则动量,验证了W-B-K方程具有Hamilton系统多辛格式,并证实此格式具有多辛守恒律、局部能量守恒律和动量守恒律.基于Hamilton空间体系的多辛理论研究了W-B-K方程的数值解法,利用中心Preissmann方法构造离散多辛格式的途径,并构造了一种典型的半隐式的多辛格式,该格式满足多辛守恒律.数值算例结果表明该多辛离散格式具有较好的长时间数值稳定性.
[Abstract]:By introducing regular momentum, it is proved that the W-B-K equation has multiple symplectic schemes for Hamilton systems, and that the schemes have multi-symplectic conservation laws, local energy conservation laws and momentum conservation laws. Based on the multi-symplectic theory of Hamilton space system, the numerical solution of W-B-K equation is studied. The method of constructing discrete multi-symplectic scheme by using the central Preissmann method is presented. A typical semi-implicit multi-symplectic scheme is constructed, which satisfies the multi-symplectic conservation law. Numerical results show that the multi-symplectic discrete scheme has good numerical stability for a long time.
【作者单位】：普洱学院数学系;
【基金】：云南省教育厅基金(2015y490)
【分类号】：O241.82

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