Dry and moist idealized experiments with a two-dimensional spectral element model

Monthly Weather Review

Volumn 140, Issue 10, 2012, Pages 3163-3182

  Gaberšek, Saša ^a   Giraldo, Francis X ^b   Doyle, James D ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

^b NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

Mesoscale models; Model evaluation performance; Nonhydrostatic models; Nonlinear models; Numerical analysis modeling; Spectral analysis models distribution

Indexed keywords

ANALYTIC SOLUTION; BASIS FUNCTIONS; COMPUTATIONAL COSTS; CONTROL PARAMETERS; FINITE DIFFERENCE; HALF-WIDTH; HORIZONTAL RESOLUTION; MESOSCALE MODEL; MODEL EVALUATION; MOIST CONVECTION; MOUNTAIN WAVE; NON-LINEAR MODEL; NONHYDROSTATIC MODEL; NONLINEAR NATURE; PARAMETER SPACES; POLYNOMIAL ORDER; PRECIPITATION RATES; SECOND ORDERS; SPATIAL RESOLUTION; SPECTRAL ELEMENT; SPECTRAL ELEMENT MODEL; SQUALL LINES; TOTAL PRECIPITATION; VERTICAL VELOCITY;

BEAMS AND GIRDERS; EXPERIMENTS; FINITE DIFFERENCE METHOD; IMAGE RESOLUTION; STORMS;

COMPUTER SIMULATION;

ATMOSPHERIC MODELING; ATMOSPHERIC MOISTURE; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; MESOSCALE METEOROLOGY; NONLINEARITY; SPATIAL RESOLUTION; SPECTRAL ANALYSIS; TWO-DIMENSIONAL MODELING;

EID: 84867955946     PISSN: 00270644     EISSN: 15200493     Source Type: Journal    
DOI: 10.1175/MWR-D-11-00144.1     Document Type: Article

References (40)

1. Béland, M., and C. Beaudoin, 1985: A global spectral model with a finite-element formulation for the vertical discretization: Adiabatic formulation. Mon. Wea. Rev., 113, 1910-1919.
2. Benoit, R., M. Desgagné, P. Pellerin, S. Pellerin, Y. Chartier, and S. Desjardins, 1997: The Canadian MC2: A semi-Lagrangian, semi-implicit wideband atmospheric model suited for finescale process studies and simulation. Mon. Wea. Rev., 125, 2382-2415.
3. Boyd, J., 1996: The erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations. Proceeding of the Third International Conference on Spectral and High Order Methods, A. V. Ilin and L. Ridgway Scott, Eds., Houston Journal of Mathematics, 267-276.
4. Bryan, G. H., J. C. Wyngaard, and J. M. Fritsch, 2003: Resolution requirements for the simulation of deep moist convection. Mon. Wea. Rev., 131, 2394-2416
5. Bryan, G. H., J. C. Knievel, and M. D. Parker, 2006: A multimodel assessment of RKW theory's relevance to squall-line characteristics. Mon. Wea. Rev., 134, 2772-2792.
6. Bubnova, R.,G.Hello, P.Benard, and J.-F. Geleyn, 1995: Integration of the fully elastic equations case in the hydrostatic pressure terrain-following coordinate in the framework of theARPEGE/ Aladin NWP system. Mon. Wea. Rev., 123, 515-535.
7. Curchitser, E. N., M. Iskandarani, and D. B. Haidvogel, 1998: A spectral element solution of the shallow-water equations on multiprocessor computers. J. Atmos. Oceanic Technol., 15, 510-521.
8. Dennis, J., and Coauthors, 2011: CAM-SE: A scalable spectral element dynamical core for the community atmosphere model. Int. J. High Perform. Comput. Appl., 26, 74-89.
9. Doms, G., and U. Schättler, The nonhydrostatic limited-area model LM (Lokal-Modell) of DWD. Part I: Scientific documentation. Deutscher Wetterdienst Rep.LMF90 1.35, 172 pp.[Available from Deutscher Wetterdienst, P.O. Box 100465, 63004 Offenbach, Germany.]
10. Dudhia, J., 1993: A nonhydrostatic version of the Penn State/ NCAR MesoscaleModel: Validation tests and simulation of an Atlantic cyclone and cold front. Mon. Wea. Rev., 121, 1493-1513.
11. Dupont, F., and C. A. Lin, 2004: The adaptive spectral element method and comparisons with more traditional formulations for ocean modeling. J. Atmos. Oceanic Technol., 21, 135-147.
12. Durran, D. R., and J. B. Klemp, 1983:Acompressible model for the simulation of moist mountain waves. Mon. Wea. Rev., 111, 2341-2361.
13. Fournier, A., M. A. Taylor, and J. J. Tribbia, 2004: The Spectral Element Atmosphere Model (SEAM): High-resolution parallel computation and localized resolution of regional dynamics. Mon. Wea. Rev., 132, 726-748.
14. Giraldo, F. X., 1998: The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. J. Comput. Phys., 147, 114-146.
15. Giraldo, F. X., 2001: A spectral element shallow water model on spherical geodesic grids. Int. J. Numer. Methods Fluids, 35, 869-901.
16. Giraldo, F. X., 2005: Semi-implicit time-integrators for a scalable spectral element atmospheric model. Quart. J. Roy. Meteor. Soc., 131, 2431-2454.
17. Giraldo, F. X., and T. E. Rosmond, 2004: A Scalable Spectral Element Eulerian Atmospheric Model (SEE-AM) for NWP: Dynamical core tests. Mon. Wea. Rev., 132, 133-153.
18. Giraldo, F. X., and M. Restelli, 2008: A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases. J. Comput. Phys., 227, 3849-3877
19. Giraldo, F. X.,M. Restelli, and M. Läuter, 2010: Semi-implicit formulations of the Navier-Stokes equations: Application to nonhydrostatic atmospheric modeling. SIAM J. Sci. Comput., 32, 3394-3425.
20. Haidvogel, D. B., E. Curchitser, M. Iskandarani, and R. Hughes, 1997: Global modelling of the ocean and atmosphere using the spectral element method. Atmos.-Ocean, 35, 505-531.
21. Hodur, R. M., 1997: The Naval Research Laboratory's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS). Mon. Wea. Rev., 125, 1414-1430.
22. Houze, R. A., Jr., 1993: Cloud Dynamics. International Geophysics Series, Vol. 53, Academic Press, 573 pp.
23. Iskandarani, M., D. B. Haidvogel, J. C. Levin, E. Curchitser, and C. A. Edwards, 2002: Multiscale geophysical modeling using the spectral element method. Comput. Sci. Eng., 4, 42-48.
24. Karniadakis, G. E., and S. Sherwin, 2005: Spectral/hp Element Methods For Computational Fluid Dynamics. 2nd ed. Numerical Mathematics and Scientific Computation, Oxford Science Publications, 686 pp
25. Karniadakis, G. E.,M. Israeli, and S. Orszag, 1991: High-order splitting methods for the incompressibleNavier-Stokes equations. J.Comput.Phys., 97, 414-443.
26. Kelly, J. F., and F. X. Giraldo, 2012: Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: Limited-area mode. J. Comput. Phys., doi:10.1016/j.jcp.2012.04.042, in press.
27. Kim, Y.-J., F. X. Giraldo, M. Flatau, C.-S. Liou, and M. S. Peng, 2008: A sensitivity study of the Kelvin wave and the Madden- Julian oscillation in aquaplanet simulations by the Naval Research Laboratory Spectral Element Atmospheric Model. J. Geophys. Res., 113, D20102, doi:10.1029/2008JD009887
28. Klemp, J. B., and R. B. Wilhelmson, 1978: The simulation of threedimensional convective storm dynamics. J. Atmos. Sci., 35, 1070-1096.
29. Molcard, A., N. Pinardi, M. Iskandarani, and D. B. Haidvogel, 2002: Wind driven general circulation of the Mediterranean Sea simulated with a spectral element ocean model. Dyn. Atmos. Oceans, 35, 97-130.
30. Özgökmen, T. M., P. F. Fischer, J. Duan, and T. Iliescu, 2004: Three-dimensional turbulent bottom density currents from a high-order nonhydrostatic spectral element model. J. Phys. Oceanogr., 34, 2006-2026.
31. Rotunno, R., J. B. Klemp, and M. L. Weisman, 1988: A theory for strong, long-lived squall lines. J. Atmos. Sci., 45, 463-485.
32. Skamarock, W. C., J. B. Klemp, J. Dudhia, D. O. Gill, D.M. Barker, W. Wang, and J. G. Powers, 2005: A description of the Advanced Research WRF version 2. NCAR/TN-4681STR, 88 pp.
33. Straka, J. M., R. B. Wilhelmson, L. J. Wicker, J. R. Anderson, and K. K. Droegemeier, 1993: Numerical solutions of a non-linear density current: A benchmark solution and comparisons. Int. J. Numer. Methods Fluids, 17, 1-22
34. Taylor, M. A., J. J. Tribbia, and M. Iskandarani, 1997: The spectral element method for the shallow water equations on the sphere. J. Comput. Phys., 130, 92-108
35. Taylor, M. A., J. Edwards, S. Thomas, and R. Nair, 2007:Amass and energy conserving spectral element atmospheric dynamical core on the cubed-sphere grid. J. Phys.: Conf. Ser., 78, 012074, doi:10.1088/1742-6596/78/1/012074.
36. Thomas, S. J., and R. D. Loft, 2002: Semi-implicit spectral element atmospheric model. J. Sci. Comput., 17, 339-350.
37. Wang, H., J. J. Tribbia, F. Baer, A. Fournier, and M. A. Taylor, 2007: A spectral element version of CAM2. Mon. Wea. Rev., 135, 3825-3840.
38. Weisman, M. L., and R. Rotunno, 2004: A theory for strong longlived squall lines revisited. J. Atmos. Sci., 61, 361.
39. Weisman, M. L., J. B. Klemp, and R. Rotunno, 1988: Structure and evolution of numerically simulated squall lines. J. Atmos. Sci., 45, 1990-2013.
40. Weisman, M. L., W. C. Skamarock, and J. B. Klemp, 1997: The resolution dependence of explicitly modeled convective systems. Mon. Wea. Rev., 125, 52