The deep-atmosphere Euler equations with a mass-based vertical coordinate

Quarterly Journal of the Royal Meteorological Society

Volumn 129, Issue 589 PART C, 2003, Pages 1289-1300

  Wood, Nigel ^a   Staniforth, Andrew ^a  

^a MET OFFICE   (United Kingdom)

Author keywords

Energy conservation; Non hydrostatic; Rigid lid

Indexed keywords

ATMOSPHERIC STRUCTURE; COORDINATE MEASURING MACHINES; HYDROSTATIC PRESSURE;

EULER EQUATIONS;

METEOROLOGY;

ATMOSPHERE; ENERGY CONSERVATION; HYDROSTATIC PRESSURE;

EID: 0037255542     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1256/qj.02.153     Document Type: Article

References (15)

1. Bannon, P., Bishop, C. H. and Kerr, J. B. 1997 Does the surface pressure equal the weight per unit area of a hydrostatic atmosphere? Bull. Am. Meteorol. Soc., 78, 2637-2642
2. Bubnová, R., Hello, G., Bénard, P. and Geleyn, J. -F. 1995 Integration of the fully elastic equations cast in the hydrostatic pressure terrain-following coordinate in the framework of the ARPEGE/Aladin NWP system. Mon. Weather. Rev., 123, 515-535
3. Cullen, M. J. P., Davies, T., Mawson, M. H., James, J. A. and Coulter, S. C. 1997 'An overview of numerical methods for the next generation UK NWP and climate model', Pp. 425-444 in Numerical methods in atmospheric modelling. The André Robert memorial volume. Eds. C. Lin, R. Laprise and H. Ritchie, Canadian Meteorological and Oceanographical Society, Ottawa, Canada.
4. Gal-Chen, T. and Somerville, R. C. J. 1975 On the use of a coordinate transformation for the solution of the Navier-Stokes equations. J. Comput. Phys., 17, 209-228
5. Kasahara, A. 1974 Various vertical coordinate systems used for numerical weather prediction. Mon. Weather. Rev., 102, 509-522
6. Laprise, R. 1992 The Euler equations of motion with hydrostatic pressure as an independent variable. Mon. Weather. Rev., 120, 197-207
7. Miller, M. J. 1974 On the use of pressure as vertical co-ordinate in modelling convection. Q. J. R. Meteorol. Soc., 100, 155-162
8. Miller, M. J. and White, A. A. 1984 On the non-hydrostatic equations in pressure and sigma co-ordinates. Q. J. R. Meteorol. Soc., 110, 515-533
9. Phillips, N. A. 1957 A coordinate system having some special advantages for numerical forecasting, J. Meteorol., 14, 184-185.
10. Phillips, N. A. 1973 'Principles of large-scale numerical weather prediction'. Pp. 1-96 in Dynamic meteorology, Ed. P. Morel, Reidel, Dordrecht. the Netherlands
11. Staniforth, A. 2001 'Developing efficient unified nonhydrostatic models'. Pp. 185-200 in Proceedings of the symposium on the 50th anniversary of NWP, Potsdam, Germany, 9-10 March 2000. Ed. A. Spekat. Deutsche Meteorologische Gesellschaft e. V., Berlin, Germany
12. Thuburn, J., Wood, N. and Staniforth, A. 2002 Normal modes of deep atmospheres. I: Spherical geometry. Q. J. R. Meteorol. Soc., 128, 1771-1792
13. White, A. A. 1989 An extended version of a nonhydrostatic, pressure coordinate model. J. Atmos. Sci., 115, 1243-1251
14. White, A. A. and Bromley, R. A. 1995 Dynamically consistent, quasi-hydrostatic equations for global models with a complete representation of the Coriolis force. Q. J. R. Meteorol. Soc., 121, 399-418
15. Yeh, K.-S., Côté, J., Gravel, S., Méthot, A., Patoine, A., Roch, M. and Staniforth, A. 2002 The CMC-MRB Global Environmental Multiscale (GEM) model. Part III: Nonhydrostatic formulation. Mon. Weather. Rev., 130, 339-356