Climate Modeling with Spectral Elements

Author:

Baer Ferdinand1,Wang Houjun1,Tribbia Joseph J.2,Fournier Aimé3

Affiliation:

1. Department of Atmospheric and Oceanic Science, University of Maryland, College Park, College Park, Maryland

2. National Center for Atmospheric Research, Boulder, Colorado

3. National Center for Atmospheric Research, Boulder, Colorado, and Department of Atmospheric and Oceanic Science, University of Maryland, College Park, College Park, Maryland

Abstract

Abstract As an effort toward improving climate model–component performance and accuracy, an atmospheric-component climate model has been developed, entitled the Spectral Element Atmospheric Climate Model and denoted as CAM_SEM. CAM_SEM includes a unique dynamical core coupled at this time to the physics component of the Community Atmosphere Model (CAM) as well as the Community Land Model. This model allows the inclusion of local mesh refinement to seamlessly study imbedded higher-resolution regional climate concurrently with the global climate. Additionally, the numerical structure of the model based on spectral elements allows for application of state-of-the-art computing hardware most effectively and economically to produce the best prediction/simulation results with minimal expenditure of computing resources. The model has been tested under various conditions beginning with the shallow water equations and ending with an Atmospheric Model Intercomparison Project (AMIP)-style run that uses initial conditions and physics comparable to the CAM2 (version 2 of the NCAR CAM climate model) experiments. For uniform resolution, the output of the model compares favorably with the published output from the CAM2 experiments. Further integrations with local mesh refinement included indicate that while greater detail in the prediction of mesh-refined regions—that is, regional climate—is observed, the remaining coarse-grid results are similar to results obtained from a uniform-grid integration of the model with identical conditions. It should be noted that in addition to spectral elements, other efficient schemes have lately been considered, in particular the finite-volume scheme. This scheme has not yet been incorporated into CAM_SEM. The two schemes—finite volume and spectral element—are quasi-independent and generally compatible, dealing with different aspects of the integration process. Their impact can be assessed separately and the omission of the finite-volume process herein will not detract from the evaluation of the results using the spectral-element method alone.

Publisher

American Meteorological Society

Subject

Atmospheric Science

Reference30 articles.

1. Baer, F., J. J.Tribbia, and M.Taylor, 2001: Global and regional atmospheric modeling using spectral elements. IUTAM Symposium on Advances in Mathematical Modeling of Atmosphere and Ocean Dynamics, P. F. Hodnett, Ed., Kluwer Academic, 81–86.

2. 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/description/.].

3. The finite element method.;Cullen,1979

4. Deville, M. O., P. F.Fischer, and E. H.Mund, 2002: High-Order Methods for Incompressible Fluid Flow. Cambridge Monogr. on Applied and Computational Mathematics, No. 9, Cambridge University Press, 528 pp.

5. Fournier, A., M. A.Taylor, and J.Tribbia, 2000a: Spectral element method. Part 1: Numerical algorithms. Proc. Eighth Annual Conf. of the CFD Society, Montreal, QC, Canada, CFD Society of Canada, 173–180. [Available online at ftp://ftp.cgd.ucar.edu/pub/fournier/publications/AlNu.ps.gz.].

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