Semi-geostrophic solutions for flow over a ridge

Quarterly Journal of the Royal Meteorological Society

Volumn 133, Issue 623, 2007, Pages 491-501

  Cullen, Mike J P ^a  

^a MET OFFICE   (United Kingdom)

Author keywords

Asymptotic regimes; Convergence rates; Orographic drag; Symmetric instability

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; EQUATIONS OF MOTION; MATHEMATICAL MODELS;

ASYMPTOTIC REGIMES; CONVERGENCE RATES; OROGRAPHIC DRAG; RIDGE; SEMI-GEOSTROPHIC (SG) EQUATIONS; SYMMETRIC INSTABILITY;

DRAG;

ALGORITHM; GEOSTROPHIC FLOW; OROGRAPHIC EFFECT; ROSSBY NUMBER;

EID: 34247267616     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.15     Document Type: Article

References (20)

1. Cullen MJP. 2000. On the accuracy of the semi-geostrophic approximation. Q. J. R. Meteorol. Soc. 126: 1099-1115.
2. Cullen MJP, Feldman M. 2006. Lagrangian solutions of semi-geostrophic equations in physical space. SIAM J. Math. Anal. 37: 1371-1395.
3. Cullen MJP, Maroofi H. 2003. The fully compressible semi-geostrophic system from meteorology. Arch. Rat. Mech. Anal. 167: 309-336.
4. Cullen MJP, Wakefield MA. 2005. Modelling the response of the atmosphere to equatorial forcing. Int. J. Num. Methods Fluids 47: 1345-1351.
5. Cullen MJP, Norbury J, Purser RJ, Shutts GJ. 1987a. Modelling the quasi-equilibrium dynamics of the atmosphere. Q. J. R. Meteorol. Soc. 113: 735-757.
6. Cullen MJP, Chynoweth S, Purser RJ. 1987b. On semi-geostrophic flow over synoptic-scale topography. Q. J. R. Meteorol. Soc. 113: 163-180.
7. Davies T, Cullen MJP, Malcolm AJ, Mawson MH, Staniforth A, White AA, Wood N. 2005. A new dynamical core for the Met Office's global and regional modelling of the atmosphere. Q. J. R. Meteorol. Soc. 131: 1759-1782.
8. Desroziers G. 1997. A coordinate change for data assimilation in spherical geometry of frontal structures. Mon. Weather Rev. 125: 3030-3038.
9. Dubal M. 2001. 'Use of a geostrophic coordinate transformation in 3D-Var'. Internal report, Met Office, Exeter, UK, available on request.
10. Pedder MA, Thorpe AJ. 1999. The semi-geostrophic diagnosis of vertical motion. I: Formulation and coordinate transformations. Q. J. R. Meteorol. Soc. 125: 1231-1256.
11. Räisänen J. 1995. Factors affecting synoptic-scale vertical motions: a statistical study using a generalised omega equation. Mon. Weather Rev. 125: 1577-1597.
12. Räisäinen J. 1997. Height tendency diagnostics using a generalised omega equation, the vorticity equation, and a nonlinear balance equation. Mon. Weather Rev. 125: 1577-1597.
13. Schubert WH. 1985. Semi-geostrophic theory. J. Atmos. Sci. 42: 1770-1772.
14. Shutts GJ. 1987. The semi-geostrophic weir: a simple model of flow over mountain barriers. J. Atmos. Sci. 44: 2018-2030.
15. Shutts GJ. 1998. Idealised models of the pressure drag force on mesoscale mountain ridges. Contrib. Atmos. Phys.. 71: 303-313.
16. Shutts GJ, Cullen MJP. 1987. Parcel stability and its relation to semi-geostrophic theory. J. Atmos. Sci. 44: 1318-1330.
17. Stoelinga MT, Locatelli JD, Hobbs PV. 2000. Structure and evolution of winter cyclones in the central United States and their effects on the distribution of precipitation. Part VI: A mesoscale modelling study of the initiation of convective rainbands. Mon. Weather Rev. 128: 3481-3500.
18. Thorpe AJ, Pedder MA. 1999. The semi-geostrophic diagnosis of vertical motion. II: Results for an idealised baroclinic wave life cycle. Q. J. R. Meteorol. Soc. 125: 1257-1276.
19. Wells H, Webster S, Brown A. 2005. The effect of rotation on the pressure drag force produced by flow around long mountain ridges. Q. J. R. Meteorol. Soc. 131: 1321-1338.
20. Xu Q, Gu W, Gao J. 1995. Baroclinic Eady waves and fronts: viscous semigeostrophy and the impact of boundary condition. J. Atmos. Sci. 55: 3598-3615.