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›› 2003, Vol. 20 ›› Issue (1): 97-102.DOI: 10.7523/j.issn.2095-6134.2003.1.015

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On the Total Energy Conservation and the Symplectic Algorithm

Ji Zhongzhen, Wang Bin, Zhao Ying, Yang Hongwei   

  1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2002-01-08 Revised:2002-03-22 Online:2003-01-18

Abstract:

Based on the total energy conservation, two important algorithms, the total energy conservation algorithm and the symplectic algorithm, are established for the sphericalshallow water equations. Also, the relation of two algorithms is analyzed; and the numerical tests show the efficiency of the algorithms.

Key words: atmospheric and oceanic equations, conservative system, total energy conservation, Hamiltonian, symplectic scheme

CLC Number: