Ertel potential vorticity inversion using a digital filter initialization method

Quarterly Journal of the Royal Meteorological Society

Volumn 134, Issue 634 A, 2008, Pages 1287-1296

  Arbogast, Philippe ^a   Maynard, Karine ^a   Crepin, Fabien ^a  

^a MÉTÉO FRANCE   (France)

Author keywords

Balanced dynamics; Cyclogensis; Inversion; Potential vorticity; Slow manifold

Indexed keywords

BOUNDARY CONDITIONS; DIGITAL ARITHMETIC; SOLUTIONS; SUPERSONIC FLOW; THREE DIMENSIONAL; VORTICITY; DIGITAL FILTERS; WAVE FILTERS;

BALANCED DYNAMICS; CYCLOGENSIS; INVERSION; POTENTIAL VORTICITY; SLOW MANIFOLD;

MATHEMATICAL MODELS; VORTICITY;

AIR TEMPERATURE; ALGORITHM; BOUNDARY CONDITION; INVERSE ANALYSIS; MODELING; POTENTIAL VORTICITY; QUASI-GEOSTROPHIC FLOW; ROSSBY NUMBER; CYCLOGENESIS; FILTER; SPECTRAL ANALYSIS; THREE-DIMENSIONAL FLOW;

EID: 50949126899     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.283     Document Type: Article

References (27)

1. Baer F, Tribbia J. 1977. On complete filtering of gravity modes through non-linear initialization. Mon. Weather Rev. 105: 536-1539.
2. Charney JG. 1962. 'Integration of the primitive and balance equations'. Pp. 131-152 in Proceedings of the International Symposium on Numerical Weather Prediction, Tokyo. Meteorological Society of Japan.
3. Courant R, Hilbert D. 1962. Methods of Mathematical Physics. Wiley: New York.
4. Courtier P, Freydier C, Geleyn JF, Rabier F, Rochas M. 1991. 'The Arpege project at Météo-France'. Pp. 193-231 in ECMWF Seminar Proceedings 7.
5. Ertel H. 1942. Ein neuer hydrodynamischer Wirbelsatz. Meteorol. Z. 59: 277-281.
6. Ford R, McIntyre ME, Norton WA. 2000. Balance and the slow quasimanifold: Some explicit results. J. Atmos. Sci. 57: 1236-1254.
7. Gent PR, McWilliams JC. 1982. Intermediate model solutions to the Lorenz equations: Strange attractors and other phenomena. Mon. Weather Rev. 39: 3-13.
8. Hoskins BJ. 1975. The geostrophic momentum approximation and the semi-geostrophic equations. J. Atmos. Sci. 32: 233-242.
9. Hoskins BJ, Bretherton FP. 1972. Atmospheric frontogenesis models: mathematical formulation and solution. J. Atmos. Sci. 29: 11-37.
10. Hoskins BJ, Draghici I, Davies HC. 1978. A new look at the ω-equation. Q. J. R. Meteorol. Soc. 104: 31-38.
11. Hoskins BJ, McIntyre ME, Robertson RW. 1985. On the use and significance, of isentropic potential vorticity maps. Q. J. R. Meteorol. Soc. 111: 877-946.
12. Leith CE. 1980. Non linear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci. 37: 958-968.
13. Lorenz EN. 1980. Attractor sets and quasi geostrophic equilibrium. J. Atmos. Sci. 37: 1685-1699.
14. Lynch P. 1985. Initialization using Laplace transforms. Q. J. R. Meteorol. Soc. 111: 243-258.
15. Lynch P. 1999. The slow equations. Q. J. R. Meteorol. Soc. 115: 201-219.
16. Lynch P, Giard D, Ivanovici V. 1997. Improving the efficiency of a digital filtering scheme for diabatic initialization. Mon. Weather Rev. 125: 1976-1982.
17. Lynch P, Huang XY. 1992. Initialization of the Hirlam model using a digital filter. Mon. Weather Rev. 125: 1019-1034.
18. Machenhauer B. 1977. On the dynamics of gravity oscillations in a shallow water model with applications to normal mode initialization. Beitr. Phys. Atmos. 50: 253-271.
19. McIntyre ME, Norton WA. 2000. Potential vorticity inversion on a hemisphere. J. Atmos. Sci. 57: 1214-1235.
20. Pedder MA, Thorpe AJ. 1999. The semi-geostrophic diagnosis of vertical motion. I: Formulation and coordinate transforms. Q. J. R. Meteorol. Soc. 125(B): 1231-1256.
21. Raymond DJ. 1992. Non linear balance and potential-vorticity thinking at large Rossby number. Q. J. R. Meteorol. Soc. 118: 987-1015.
22. Simmons AJ, Hoskins BJ. 1976. Baroclinic instability on the sphere: normal modes of the primitive and quasi-geostrophic equations. J. Atmos. Sci. 33: 1454-1477.
23. Thorpe Al, Pedder MA. 1999. The semi-geostrophic diagnosis of vertical motion. II: Results for an idealized baroclinic wave life cycle. Q. J. R. Meteorol. Soc. 125(B): 1257-1276.
24. Vallis GK. 1992. Mechanisms and parametrizations of geostrophic adjustment and a variational approach to balanced flow. J. Atmos. Sci. 49(13): 1144-1160.
25. Vallis GK. 1996. Potential vorticity inversion and balance equations of motion for rotating and stratified flows. Q. J. R. Meteorol. Soc. 122: 291-322.
26. Vautard R, Legras B. 1986. Invariant manifolds, quasi-geostrophy and initialization. J. Atmos. Sci. 43: 565-584.
27. Viúdez A, Dritschel DG. 2004. Optimal potential vorticity balance of geophysical flows. J. Fluid Mech. 521: 343-352.