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On the convergence and error problems of the calculation of the pressure gradient force in sigma coordinate models

 

作者: Fedor Mesinger,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  (Taylor Available online 1982)
卷期: Volume 19, issue 1-2  

页码: 105-117

 

ISSN:0309-1929

 

年代: 1982

 

DOI:10.1080/03091928208208949

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The problem of the calculation of the pressure gradient force in sigma (terrain following) coordinate models is reviewed. It is pointed out that one of the well known schemes, the scheme of Corbyet al.(1972), does not result in a convergent difference analogue of the pressure gradient force. Some other schemes, such as the one of Burridge and Haseler (1977) used at the European Centre for Medium Range Weather Forecasts, have a convergence condition, requiring thickness of sigma layersgreaterthan (or equal to) a given threshold value. The two-term error problem of these analogues is reexamined. A numerical example is given, showing that, in accordance with the convergence condition, an increase in vertical resolution will generallynotresult in a reduction of the error.

 

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