Liao Dongxian, Zhu Yanqiu. 1996: ON THE VERTICAL DISCRETIZATION OF ATMOSPHERIC MODELS (Ⅱ) ──VERTICAL DISCRETIZATION. Acta Meteorologica Sinica, (6): 641-650. DOI: 10.11676/qxxb1996.067
Citation: Liao Dongxian, Zhu Yanqiu. 1996: ON THE VERTICAL DISCRETIZATION OF ATMOSPHERIC MODELS (Ⅱ) ──VERTICAL DISCRETIZATION. Acta Meteorologica Sinica, (6): 641-650. DOI: 10.11676/qxxb1996.067

ON THE VERTICAL DISCRETIZATION OF ATMOSPHERIC MODELS (Ⅱ) ──VERTICAL DISCRETIZATION

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  • Received Date: December 29, 1994
  • Revised Date: April 12, 1995
  • Published Date: February 19, 2013
  • Two schemes for vertical discretization of the model are proposed,one with equal lna in-terval and the other in terms of Tschebyscheff polynomial.It is proved that in adiabatic and inviscid case if the meteorological elements are continuous in time and horizontal direction the total energy and total mass are conserved in high approximation,and there is a correct conversion between kinetic and total potential energy.Numerical computations show that the schemes both have highaccuracy.For example.in integrating the hydrostatic equation the computational errors of geopotential resulted from the schemes are much less than those resulted from EC79.
  • 廖洞贤.朱艳秋.论大气模式的垂离散(Ⅰ).气象学报.1996.54 (5):513-519.
    Zhu Yanqiu.You Xingtian and Liao Ibngxian.Problams existing in the vertical discretization of the hydrostatic equation and improvement tests.Acta Meteor Sinica,1994.8:384-391.
    Arakawa A and Lamb V R.Computational design of the basic dynamic processes of the UCLA general circulation model.Methods in Computational Physics.1976.171:174-264.
    廖洞贤,朱艳秋.Tschebyscheff函数在大气模式垂直离散问题中的应用.应用气象学报,1995 .6 (2):213-219.
    Leslie L M end Purser R J.Higher-onumerics in an unstaggered three-dimensional time-split semi-Lagrangian forecast model.Mon Wea Rev.1991.119 (7):1612-1623.
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