GENERAL FORMS OF DYNAMIC EQUATIONS FOR ATMOSPHERE IN NUMERICAL   MODELS WITH TOPOGRAPHY

Qian Yongfu; Zhong Zhong

doi:10.1007/BF02680042

Impact Factor: 5.8

Volume 3 Issue 1

Jan. 1986

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1986 > 3(1): 10-22

GENERAL FORMS OF DYNAMIC EQUATIONS FOR ATMOSPHERE IN NUMERICAL MODELS WITH TOPOGRAPHY

1.
Lanzhou Institute of Plateau Atmospheric Physics, Academia Sinica, Lanzhou,Lanzhou Institute of Plateau Atmospheric Physics, Academia Sinica, Lanzhou

doi: 10.1007/BF02680042

Abstract
References
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Abstract:
The atmospheric dynamic equations have been transformed from the z-coordinate system into a generalized vertical coordinate system by using a so-called DDD transformation method. Then the general-ized system is assumed being pressure, sigma or incorporated pressure-sigma coordinate system and corre-sponding equations are obtained with the second-order accuracy. It is pointed out that the usual equations are only of the first-order accuracy when their space-differential terms are approximated by central finite differences. Therefore the usual forms of the equations may result in quite large errors on steep slopes of mountains included in a model.
References

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Manuscript History

Manuscript received: 10 January 1986

Manuscript revised: 10 January 1986

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

GENERAL FORMS OF DYNAMIC EQUATIONS FOR ATMOSPHERE IN NUMERICAL MODELS WITH TOPOGRAPHY

1. Lanzhou Institute of Plateau Atmospheric Physics, Academia Sinica, Lanzhou,Lanzhou Institute of Plateau Atmospheric Physics, Academia Sinica, Lanzhou

Manuscript received: 1986-01-10
Manuscript revised: 1986-01-10

Abstract: The atmospheric dynamic equations have been transformed from the z-coordinate system into a generalized vertical coordinate system by using a so-called DDD transformation method. Then the general-ized system is assumed being pressure, sigma or incorporated pressure-sigma coordinate system and corre-sponding equations are obtained with the second-order accuracy. It is pointed out that the usual equations are only of the first-order accuracy when their space-differential terms are approximated by central finite differences. Therefore the usual forms of the equations may result in quite large errors on steep slopes of mountains included in a model.