On the accuracy of the semi-geostrophic approximation

被引:14
作者
Cullen, MJP [1 ]
机构
[1] European Ctr Medium Range Weather Forecasts, Reading RG2 9AX, Berks, England
关键词
accuracy; balance; semi-geostrophic;
D O I
10.1256/smsqj.56412
中图分类号
P4 [大气科学(气象学)];
学科分类号
0706 [大气科学]; 070601 [气象学];
摘要
The semi-geostrophic model has been widely used to understand atmospheric flows such as fronts and developing cyclones. However, there have been a number of demonstrations of its lack of accuracy. This paper presents theory and computations to demonstrate that the semi-geostrophic model is an accurate approximation to the primitive equations either on horizontal scales larger than the Rossby radius of deformation or when the ratio of horizontal to vertical scales is greater than f/N.
引用
收藏
页码:1099 / 1115
页数:17
相关论文
共 28 条
[1]
ALLEN JS, 1990, J PHYS OCEANOGR, V20, P1949, DOI 10.1175/1520-0485(1990)020<1949:OIMFBC>2.0.CO
[2]
2
[3]
EXACT THEORY OF NON-LINEAR WAVES ON A LAGRANGIAN-MEAN FLOW [J].
ANDREWS, DG ;
MCINTYRE, ME .
JOURNAL OF FLUID MECHANICS, 1978, 89 (DEC) :609-646
[4]
Regularity and integrability of rotating shallow-water equations [J].
Babin, A ;
Mahalov, A ;
Nicolaenko, B .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (05) :593-598
[5]
Babin A, 1996, EUR J MECH B-FLUID, V15, P291
[6]
On non-dissipative wave-mean interactions in the atmosphere or oceans [J].
Buhler, O ;
McIntyre, ME .
JOURNAL OF FLUID MECHANICS, 1998, 354 :301-343
[7]
CULLEN M J.P., 1997, Atmosphere-Ocean, V35, P425, DOI [10.1080/07055900.1997.9687359, DOI 10.1080/07055900.1997.9687359]
[8]
CULLEN MJP, 1984, J ATMOS SCI, V41, P1477, DOI 10.1175/1520-0469(1984)041<1477:AELTOS>2.0.CO
[9]
2
[10]
CULLEN MJP, 1989, J ATMOS SCI, V46, P2684, DOI 10.1175/1520-0469(1989)046<2684:POTLSE>2.0.CO