Stability criteria for shallow-water flow above zonally symmetric orography on the sphere

Quarterly Journal of the Royal Meteorological Society

Volumn 135, Issue 644, 2009, Pages 1897-1905

  White, A A ^a   Staniforth, A ^a  

^a MET OFFICE   (United Kingdom)

Author keywords

Ripa's theorem; Steady flow solutions; Testing numerical models

Indexed keywords

FREE SURFACES; ILLUSTRATIVE EXAMPLES; NUMERICAL MODELS; RIPA'S THEOREM; SHALLOW-WATER FLOW; STABLE FLOWS;

FLOW OF WATER; HYDRAULICS; MATHEMATICAL MODELS; NUMERICAL METHODS; STEADY FLOW;

STABILITY CRITERIA;

NUMERICAL MODEL; OROGRAPHY; SHALLOW-WATER EQUATION; SPHERE; STEADY FLOW;

EID: 70149121345     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.504     Document Type: Article

References (5)

1. Ripa P. 1983. General stability conditions for zonal flows in a one-layer model on the beta-plane or sphere. J. Fluid Mech. 126: 463-489.
2. Shepherd TG. 2003. Ripa's theorem and its relatives. In Nonlinear Processes in Geophysical Fluid Dynamics, Velasco-Fuentes OU, Sheinbaum J, Ochoa J (eds). Kluwer Academic: Dordrecht; pp. 1-14.
3. Staniforth A, White AA. 2007. Some exact solutions of geophysical fluid dynamics equations for testing models in spherical and plane geometry. Q. J. R. Meteorol. Soc. 133: 1605-1614.
4. Staniforth A, White AA. 2008. Stability of some exact solutions of the shallow-water equations for testing numerical models in spherical geometry. Q. J. R. Meteorol. Soc. 134: 771-778.
5. Zerroukat M, Wood N, Staniforth A, White A, Thuburn J. 2009. An inherently mass-conserving semi-implicit semi-Lagrangian discretization of the shallow water equations on the sphere. Q. J. R. Meteorol. Soc. 135: 1104-1116.