HAMILTONIAN ALGORITHM FOR SOLVING THE DYNAMIC EQUATIONS OF ATMOSPHERE

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (4): 289-297.

HAMILTONIAN ALGORITHM FOR SOLVING THE DYNAMIC EQUATIONS OF ATMOSPHERE

WANG Bin¹, JI Zhong-zhen¹, XIAO Qing-nong²

1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P R China;
2. Department of Meteorology, Florida State University, U S A

Received:2000-06-05 Revised:2000-08-28 Online:2001-07-25 Published:2001-07-25

Abstract

Abstract: The Hamiltonian nature of the dynamic equations of atmosphere is studied further, based on its regular form and its infinitely many first integrals equipped with a given Poisson bracket. Without the friction and forcing processes, the dynamic equation system of atmosphere is proved to be a Hamiltonian system. A symplectic scheme to solve the system is proposed, whose good performance is shown in a numerical experiment.

Key words: dynamic equations of atmosphere, Hamiltonian system, symplectic scheme

CLC Number:

P401

WANG Bin, JI Zhong-zhen, XIAO Qing-nong. HAMILTONIAN ALGORITHM FOR SOLVING THE DYNAMIC EQUATIONS OF ATMOSPHERE[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(4): 289-297.

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HAMILTONIAN ALGORITHM FOR SOLVING THE DYNAMIC EQUATIONS OF ATMOSPHERE

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