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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