Numerical dispersion of gravity waves

Monthly Weather Review

Volumn 137, Issue 12, 2009, Pages 4344-4354

  Schroeder, Guido ^a   Heinke Schlunzen K ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC GRAVITY WAVES; BACKGROUND WINDS; COARSE GRID; ESSENTIALLY NON-OSCILLATORY; FINE GRIDS; FIRST-ORDER; GRID RESOLUTION; GRID-SPACINGS; MESOSCALE TRANSPORT; NESTED GRID; NON-UNIFORM GRIDS; NUMERICAL DISPERSION RELATION; NUMERICAL DISPERSIONS; NUMERICAL MODELS; NUMERICAL SCHEME; PROPAGATION SPEED; SHORTER WAVES; STREAM MODELS; THEORETICAL SOLUTIONS; THIRD-ORDER; WAVE PROPERTIES;

ADVECTION; ATMOSPHERIC MOVEMENTS; DAMPING; DISPERSIONS; GRAVITATIONAL EFFECTS; GRAVITY WAVES; HYDRODYNAMICS; MATHEMATICAL MODELS; MODELS; NUMERICAL METHODS;

DISPERSION (WAVES);

ATMOSPHERIC WAVE; DAMPING; GRAVITY WAVE; MEASUREMENT METHOD; NUMERICAL METHOD; NUMERICAL MODEL; WAVE DISPERSION; WAVE PROPERTY;

EID: 74949085472     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/2009MWR2890.1     Document Type: Article

References (19)

1. Allen, S.J., and R.A. Vincent, 1995: Gravity wave activity in the lower atmosphere: Seasonal and latitudinal variations. J. Geo-phys. Res., 100, 1327-1350.
2. Bacon, D.P., N.N. Ahmad, T.J. Dunn, S.G. Gopalakrishnan, M.S. Hall, and A. Sarma, 2007: Hurricane track forecasting with OMEGA. Nat. Hazards, 41, 457-470.
3. Choi, D.-I., J.D. Brown, B. Imbiriba, J. Centrella, and P. MacNeice, 2004: Interface conditions for wave propagation through mesh refinement boundaries. J. Comput. Phys., 193, 398-425.
4. Dierer, S., K. Schlünzen, G. Birnbaum, B. Brümmer, and G. Müller, 2005: Atmosphere-sea ice interactions during cyclone passage investigated by using model simulations and measurements. Mon. Wea. Rev., 133, 3678-3692.
5. Dunkerton, T.J., 1997: The role of gravity waves in the quasi-biennial oscillation. J. Geophys. Res., 102, 26 053-26 076.
6. Fritts, D.C., and M.J. Alexander 2003: Gravity wave dynamics and effects in the middle atmosphere. Rev. Geophys., 41, 1003, doi: 10.1029/2001RG000106.
7. Holton, J.R., 1992: An Introduction to Dynamic Meteorology. Academic Press, 507 pp.
8. Lorenz P., and D. Jacob 2005: Influence of regional scale information on the global circulation: A two-way nesting climate simulation. Geophys. Res. Lett., 32, L18706, doi: 10.1029/2005GL023351.
9. Mesinger, F., and A. Arakawa, 1976: Numerical Methods Used in Atmospheric Models. GARP Publication Series, Vol. 17, WMO/ICSU Joint Organizing Committee, 64 pp.
10. Schlünzen K. H. 1990: Numerical studies on the inland penetration of sea breeze fronts at a coastline with tidally flooded mudflats. Beitr. Phys. Atmos., 63, 243-256.
11. Schroeder, G., 2007: Development and test of a multiple grids option in a mesoscale model. Ph.D. thesis, University of Hamburg, 166 pp. [Available online at http://www.sub.uni-hamburg. de/opus/volltexte/2008/3554/.]
12. Schroeder, G., K.H. Schlünzen, and F. Schimmel 2006: Use of (weighted) essentially non-oscillatory advection schemes in a mesoscale model. Quart. J. Roy. Meteor. Soc., 132, 1509-1526.
13. Shapiro, R., 1971: The use of linear filtering as a parameterization of atmospheric motion. J. Atmos. Sci., 28, 523-531.
14. Van der Vorst, H.A., 1992: Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput., 13, 631-644.
15. Vichnevetsky, R., 1987: Wave propagation and reflection in irregular grids for hyperbolic equations. Appl. Numer. Math., 3, 133-166.
16. Xue, M., 2000: High-order monotonic numerical diffusion and smoothing. Mon. Wea. Rev., 128, 2853-2864.
17. Zhang, D.L., H.R. Chang, N.L. Seaman, T.T. Warner, and J.M. Fritsch, 1986: A two-way interactive nesting procedure with variable terrain resolution. Mon. Wea. Rev., 114, 1330-1339.
18. Zhang, F., 2004: Generation of mesoscale gravity waves in uppertropospheric jet-front systems. J. Atmos. Sci., 61, 440-457.
19. Zhang, S., and F. Yi, 2004: A numerical study on global propagations and amplitude growths of large-scale gravity wave packets. J. Geophys. Res., 109, D07106, doi: 10.1029/2003JD004429.