Effects of vertical differencing in a minimal hurricane model

Quarterly Journal of the Royal Meteorological Society

Volumn 129, Issue 589 PART C, 2003, Pages 1051-1069

  Zhu, Hongyan ^a   Smith, Roger K ^a  

^a UNIVERSITY OF MUNICH   (Germany)

Author keywords

Charney Phillips grid; Computational mode

Indexed keywords

COMPUTATIONAL METHODS; HURRICANE EFFECTS; THERMAL EFFECTS;

VORTEX ASYMMETRIES;

METEOROLOGY;

HURRICANE; NUMERICAL MODEL; VERTICAL PROFILE;

EID: 0037255417     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1256/qj.02.78     Document Type: Article

References (28)

1. Anthes, R. A. 1972 Development of asymmetries in a three-dimensional numerical model of a tropical cyclone. Mon. Weather Rev., 100, 461-476
2. Anthes, R. A. 1979 Modelling of tropical cyclones and their environment. Aust. Meteorol. Mag., 27, 213-228
3. Anthes, R. A., Trout, J. W. and Rosenthal, S. L. 1971 Comparisons of tropical cyclone simulations with and without the assumption of circular symmetry. Mon. Weather Rev., 99, 759-766
4. Arakawa, A. 1972 Design of the UCLA general circulation model. Numerical simulation of weather and climate. Technical report No. 7, Dept. of Meteorology, University of California
5. Arakawa, A. and Konor, C. S. 1996 Vertical differencing of the primitive equations based on the Charney-Phillips grid in hybrid σ-p vertical coordinates. Mon. Weather Rev., 124, 511-528
6. Arakawa, A. and Lamb, V. 1977 'Computational design of the basic dynamical processes of the UCLA general circulation model', Pp. 173-265 in Methods in computational physics. Vol. 17. Ed. J. Chang. Academic Press, New York
7. Arakawa, A. and Moorthi, S. 1988 Baroclinic instability in vertically discrete systems. J. Atmos. Sci., 45, 1688-1707
8. Arakawa, A. and Suarez, M. J. 1983 Vertical differencing of the primitive equations in sigma coordinates. Mon. Weather Rev., 111, 34-45
9. Charney, J. G. 1947 The dynamics of long waves in a baroclinic westerly current. J. Meteorol., 4, 135-162
10. Charney, J. G. and Phillips, N. A. 1953 Numerical integration of the quasi-geostrophic equations for barotropic and simple baroclinic flows. J. Meteorol., 10, 71-99
11. Cullen, M. J. P., Davies, T., Mawson, M. H., James, J. A., Coulter, S. C. and Malcolm, A. 1997 'An overview of numerical methods for the next generation U.K. NWP and climate model', Pp. 425-444 in Numerical methods in atmospheric and ocean modelling. The Andre J. Robert memorial volume. Eds. C. A. Lin, Rene Laprise and Harold Ritchie. NRC Research Press, Ottawa, Canada
12. Eady, E. T. 1949 Long waves and cyclone waves. Tellus, 1, 33-52
13. Emanuel, K. A. 1986 An air-sea interaction theory for tropical cyclones. Part I: Steady- state maintenance. J. Atmos. Sci., 43, 585-604
14. Emanuel, K. A. 1989 The finite-amplitude nature of tropical cyclogenesis. J. Atmos. Sci., 46, 3431-3456
15. Emanuel, K. A. 1995 The behaviour of a simple hurricane model using a convective scheme based on subcloud-layer entropy equilibrium. J. Atmos. Sci., 52, 3960-3968
16. Hollingsworth, A. 1995 A spurious mode in the 'Lorenz' arrangement of ∅ and T which does not exist in the 'Charney-Philips' arrangement. ECMWF Technical Memo. No. 211. European Centre for Medium-Range Weather Forecasts, Shinfield Park, Reading, Berkshire RG2 9AX, UK
17. Jordan, C. L. 1957 Mean soundings for the West Indies area. J. Meteorol., 15, 91-97
18. Kurihara, Y. and Tuleya, R. E. 1974 Structure of a tropical cyclone developed in a three-dimensional numerical simulation model. J. Atmos. Sci., 31, 893-919
19. Lorenz, E. N. 1960 Energy and numerical weather prediction. Tellus, 12, 364-373
20. Mapes, B. E. and Zuidema, P. 1996 Radiative-dynamical consequences of dry tongues in the tropical troposphere. J. Atmos. Sci., 53, 620-638
21. Nguyen, C. M., Smith, R. K., Zhu, H. and Ulrich, W. 2002 A minimal axisymmetric hurricane model. Q. J. R. Meteorol. Soc., 128, 2641-2661
22. Ooyama, K. V. 1969 Numerical simulation of the life cycle of tropical cyclones. J. Atmos. Sci., 26, 3-40
23. Rotunno, R. and Emanuel, K. A. 1987 An air-sea interaction theory for tropical cyclones. Part II: Evolutionary study using a nonhydrostatic axisymmetric numerical model. J. Atmos. Sci., 44, 542-561
24. Smith, R. K. 2000 The role of cumulus convection in hurricanes and its representation in hurricane models. Rev. Geophys., 38, 465-489
25. Tokioka, T. 1978 Some consideration on vertical differencing. J. Meteorol. Soc. Jpn., 56, 89-111
26. Weber, H. C. and Smith, R. K. 1993 The stability of barotropic vortices: Implications for tropical cyclone motion. Geophys. Astrophys. Fluid Dyn., 70, 1-30
27. Zhu, H. and Smith, R. K. 2002 The importance of three physical processes in a minimal three-dimensional tropical cyclone model. J. Atmos. Sci., 59, 1825-1840
28. Zhu, H., Smith, R. K. and Ulrich, W. 2001 A minimal three-dimensional tropical cyclone model. J. Atmos. Sci., 58, 1924-1944