A Spectral Element Version of CAM2

Houjun Wang Department of Atmospheric and Oceanic Science, University of Maryland, College Park, College Park, Maryland

Search for other papers by Houjun Wang in
Current site
Google Scholar
PubMed
Close
,
Joseph J. Tribbia National Center for Atmospheric Research, Boulder, Colorado

Search for other papers by Joseph J. Tribbia in
Current site
Google Scholar
PubMed
Close
,
Ferdinand Baer Department of Atmospheric and Oceanic Science, University of Maryland, College Park, College Park, Maryland

Search for other papers by Ferdinand Baer in
Current site
Google Scholar
PubMed
Close
,
Aimé Fournier National Center for Atmospheric Research, Boulder, Colorado

Search for other papers by Aimé Fournier in
Current site
Google Scholar
PubMed
Close
, and
Mark A. Taylor Sandia National Laboratories, Albuquerque, New Mexico

Search for other papers by Mark A. Taylor in
Current site
Google Scholar
PubMed
Close
Restricted access

We are aware of a technical issue preventing figures and tables from showing in some newly published articles in the full-text HTML view.
While we are resolving the problem, please use the online PDF version of these articles to view figures and tables.

Abstract

The authors describe a recent development and some applications of a spectral element dynamical core. The improvements and development include the following: (i) the code was converted from FORTRAN 77 to FORTRAN 90; (ii) the dynamical core was extended to the generalized terrain-following, or hybrid η, vertical coordinates; (iii) a fourth-order Runge–Kutta (RK4) method for time integration was implemented; (iv) moisture effects were added in the dynamical system and a semi-Lagrangian method for moisture transport was implemented; and (v) the improved dynamical core was coupled with the Community Atmosphere Model version 2 (CAM2) physical parameterizations and Community Land Model version 2 (CLM2) in such a way that it can be used as an alternative dynamical core in CAM2. This spectral element version of CAM2 is denoted as CAM-SEM. A mass fixer as used in the Eulerian version of CAM2 (CAM-EUL) is also implemented in CAM-SEM. Results from multiyear simulations with CAM-SEM (coupled with CLM2) with climatology SST are also presented and compared with simulations from CAM-EUL. Close resemblances are shown in simulations from CAM-SEM and CAM-EUL. The authors found that contrary to what is suggested by some other studies, the high-order Lagrangian interpolation (with a limiter) using the spectral element basis functions may not be suitable for moisture and other strongly varying fields such as cloud and precipitation.

Corresponding author address: Dr. Houjun Wang, NCAR, P.O. Box 3000, Boulder, CO 80307. Email: houjun.wang@noaa.gov

Abstract

The authors describe a recent development and some applications of a spectral element dynamical core. The improvements and development include the following: (i) the code was converted from FORTRAN 77 to FORTRAN 90; (ii) the dynamical core was extended to the generalized terrain-following, or hybrid η, vertical coordinates; (iii) a fourth-order Runge–Kutta (RK4) method for time integration was implemented; (iv) moisture effects were added in the dynamical system and a semi-Lagrangian method for moisture transport was implemented; and (v) the improved dynamical core was coupled with the Community Atmosphere Model version 2 (CAM2) physical parameterizations and Community Land Model version 2 (CLM2) in such a way that it can be used as an alternative dynamical core in CAM2. This spectral element version of CAM2 is denoted as CAM-SEM. A mass fixer as used in the Eulerian version of CAM2 (CAM-EUL) is also implemented in CAM-SEM. Results from multiyear simulations with CAM-SEM (coupled with CLM2) with climatology SST are also presented and compared with simulations from CAM-EUL. Close resemblances are shown in simulations from CAM-SEM and CAM-EUL. The authors found that contrary to what is suggested by some other studies, the high-order Lagrangian interpolation (with a limiter) using the spectral element basis functions may not be suitable for moisture and other strongly varying fields such as cloud and precipitation.

Corresponding author address: Dr. Houjun Wang, NCAR, P.O. Box 3000, Boulder, CO 80307. Email: houjun.wang@noaa.gov

Save
  • Adler, R. F., and Coauthors, 2003: The Version-2 Global Precipitation Climatology Project (GPCP) Monthly Precipitation Analysis (1979–present). J. Hydrometeor., 4 , 11471167.

    • Search Google Scholar
    • Export Citation
  • Baer, F., H. Wang, J. J. Tribbia, and A. Fournier, 2006: Climate modeling with spectral elements. Mon. Wea. Rev., 134 , 36103624.

  • Collins, W. D., and Coauthors cited. 2003: Description of the NCAR Community Atmosphere Model (CAM2). [Available online at http://www.ccsm.ucar.edu/models/atm-cam/docs/cam2.0/description.pdf.].

  • Davis, P. J., and P. Rabinowitz, 1984: Methods of Numerical Integration. 2d ed. Academic Press, 612 pp.

  • Deville, M. O., P. F. Fischer, and E. H. Mund, 2002: High-Order Methods for Incompressible Fluid Flow. Cambridge University Press, 499 pp.

    • Search Google Scholar
    • Export Citation
  • 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 , 726748.

    • Search Google Scholar
    • Export Citation
  • 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 , 133153.

    • Search Google Scholar
    • Export Citation
  • Giraldo, F. X., J. B. Perot, and P. F. Fischer, 2003: A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. J. Comput. Phys., 190 , 623650.

    • Search Google Scholar
    • Export Citation
  • Haidvogel, D. B., E. Curchitser, M. Iskandarani, R. Hughes, and M. A. Taylor, 1997: Global modelling of the ocean and atmosphere using the spectral element method. Atmos.–Ocean, 35 , 505531.

    • Search Google Scholar
    • Export Citation
  • Harrison, E. F., P. Minnis, B. R. Barkstrom, V. Ramanathan, R. D. Cess, and G. G. Gibson, 1990: Seasonal variation of cloud radiative forcing derived from the Earth radiation budget experiment. J. Geophys. Res., 95 , 1868718703.

    • Search Google Scholar
    • Export Citation
  • Held, I. M., and M. J. Suarez, 1994: A proposal for the intercomparison of the dynamical cores of atmospheric general circulation models. Bull. Amer. Meteor. Soc., 75 , 18251830.

    • Search Google Scholar
    • Export Citation
  • Hildebrand, F. B., 1987: Introduction to Numerical Analysis. 2d ed. Dover Publications, 669 pp.

  • Hortal, M., 1999: Aspects of the numerics of the ECMWF model. Proc. ECMWF Seminar on Recent Developments in Numerical Methods for Atmospheric Modelling, Reading, United Kingdom, ECMWF, 127–143.

  • Iskandarani, M., D. B. Haidvogel, and J. P. Boyd, 1995: A staggered spectral element model with application to the oceanic shallow water equations. Int. J. Numer. Methods Fluids, 20 , 393414.

    • Search Google Scholar
    • Export Citation
  • Kallberg, P., A. Simmons, S. Uppala, and M. Fuentes, 2004: The ERA-40 archive. ERA-40 Project Report Series 17, ECMWF, Reading, United Kingdom, 31 pp.

  • Kiehl, J. T., and K. E. Trenberth, 1997: Earth’s annual global mean energy budget. Bull. Amer. Meteor. Soc., 78 , 197208.

  • Kistler, R., and Coauthors, 2001: The NCEP–NCAR 50-Year Reanalysis: Monthly means CD-ROM and documentation. Bull. Amer. Meteor. Soc., 82 , 247267.

    • Search Google Scholar
    • Export Citation
  • Lambert, J. D., 1973: Computational Methods in Ordinary Differential Equations. John Wiley and Sons, 278 pp.

  • Lanczos, C., 1997: Linear Differential Operators. Dover Publications, 564 pp.

  • Laprise, R., 1992: The resolution of global spectral models. Bull. Amer. Meteor. Soc., 73 , 14531454.

  • Levin, J. G., M. Iskandarani, and D. B. Haidvogel, 1997: A spectral filtering procedure for eddy-resolving simulations with a spectral element ocean model. J. Comput. Phys., 137 , 130154.

    • Search Google Scholar
    • Export Citation
  • Ma, H., 1993: A spectral element basin model for the shallow water equations. J. Comput. Phys., 109 , 133149.

  • Randel, D. L., T. H. Vonder Haar, M. A. Ringerud, G. Stephens, T. J. Greenwald, and C. L. Combs, 1996: A new global water vapor dataset. Bull. Amer. Meteor. Soc., 77 , 12331246.

    • Search Google Scholar
    • Export Citation
  • Rossow, W. B., and R. A. Schiffer, 1999: Advances in understanding clouds from ISCCP. Bull. Amer. Meteor. Soc., 80 , 22612287.

  • Taylor, M., J. Tribbia, and M. Iskandarani, 1997: The spectral element method for the shallow water equations on the sphere. J. Comput. Phys., 130 , 92108.

    • Search Google Scholar
    • Export Citation
  • Wang, H., J. Tribbia, F. Baer, A. Fournier, and M. Taylor, cited. 2004: Recent development and applications of a spectral element dynamical core. [Available online at http://www.ccsm.ucar.edu/working_groups/Atmosphere/Presentations/20040309/04.pdf.].

  • Wild, M., and E. Roeckner, 2006: Radiative fluxes in the ECHAM5 general circulation model. J. Climate, 19 , 37923809.

  • Williamson, D. L., and P. J. Rasch, 1989: Two-dimensional semi-Lagrangian transport with shape-preserving interpolation. Mon. Wea. Rev., 117 , 102129.

    • Search Google Scholar
    • Export Citation
  • Williamson, D. L., and J. M. Rosinski, 2000: Accuracy of reduced-grid calculations. Quart. J. Roy. Meteor. Soc., 126 , 16191640.

  • Zhang, Y-C., W. B. Rossow, A. A. Lacis, V. Oinas, and M. I. Mishchenko, 2004: Calculation of radiative fluxes from the surface to the top of atmosphere based on ISCCP and other global data sets: Refinements of the radiative transfer model and the input data. J. Geophys. Res., 109 .D19105, doi:10.1029/2003JD004457.

    • Search Google Scholar
    • Export Citation
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 411 278 133
PDF Downloads 86 36 1