A Spectral Filtering Procedure for Eddy-Resolving Simulations with a Spectral Element Ocean Model

Journal of Computational Physics

Volumn 137, Issue 1, 1997, Pages 130-154

  Levin, Julia G ^a   Iskandarani, Mohamed ^a   Haidvogel, Dale B ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OCEANOGRAPHY; RESTORATION;

EDDY-RESOLVING SIMULATIONS; FILTERING PROCEDURES; NONLINEAR INTERACTIONS; OCEANIC FLOW; SMALL SCALE; SPECTRAL ELEMENT; SPECTRAL ELEMENT OCEAN MODELS; SPECTRAL FILTERING; VELOCITY FIELD; WIND-DRIVEN CIRCULATION;

BOUNDARY CONDITIONS;

EID: 0001198024     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1997.5797     Document Type: Article

References (23)

1. Arakawa A., Lamb V. R. Computational Design of the Basic Dynamical Processing of the UCLS general circulation model. 1977;Academic Press, New York.
2. Bernardi C., Maday Y. Coupling finite element and spectral methods: First results. Math. Comput. 54:1990;21.
3. Bernardi C., Maday Y., Patera A. A new nonconforming approach to domain decomposition: The Mortar element method. Nonlinear Partial Differential Equations and Their Applications. 1992;Pitman & Wiley, New York.
4. Bernardi C., Pironneau O. On the shallow water equations at low Reynolds numbers. Commun. Partial Differential Equations. 16:1991;59.
5. Boyd J. P. Chebyshev and Fourier Spectral Methods. 1989;Springer-Verlag, New York/Berlin.
6. Boyd J. P. Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations. J. Sci. Comput. 9:1994;81.
7. J. P. Boyd, The Erfc-Log filter and the asymptotics of the Euler and Vandeven sum accelerations, Houston J. Math.
8. Cai W., Lee H. C., Oh H.-S. Coupling of spectral methods and thep. J. Comput. Phys. 108:1993;314.
9. Giannakouros J., Karniadakis G. E. A spectral element-FCT method for the compressible Euler equations. J. Comput. Phys. 115:1994;65.
10. Guillard H., Malé J. M., Peyret R. Adaptive spectral methods with application to mixing layer computatgions. J. Comput. Phys. 102:1992;114.
11. D. B. Haidvogel, E. Curchitser, M. Iskandarani, R. Hughes, M. Taylor, Global modeling of the ocean and atmosphere using the spectral element method, Ocean-Atmos.
12. Haidvogel D. B., McWilliams J. C., Gent P. R. Boundary current separation in a quasigeostrophic, eddy-resolving ocean circulation model. J. Phys. Oceanogr. 22:1992;882.
13. Hellerman S., Rosenstein M. Normal monthly wind stress over the world ocean with error estimates. J. Phys. Oceanogr. 13:1983;1093.
14. Holland W. R. The role of mesoscale eddies in the general circulation of the ocean - Numerical experiments using a wind-driven quasi-geostrophic model. J. Phys. Oceanogr. 8:1978;363.
15. Iskandarani M., Haidvogel D. B., Boyd J. P. A staggered spectral element model with application to the oceanic shallow water equations. Int. J. Numer. Methods Fluids. 20:1995;393.
16. Ma H. The equatorial basin response to a rossby wave packet: The effects of nonlinear mechanism. J. Marine Res. 50:1992;567.
17. Ma H. A spectral element basin model for the shallow water equations. J. Comput. Phys. 109:1993;133.
18. Maday Y., Patera A. T. Spectral element methods for the incompressible Navier-Stokes equations. Noor A. K. State of the Art Surveys in Computational Mechanics. 1988;71 ASME, New York.
19. McCalpin J. D., Haidvogel D. B. Phenomenology of the low-frequency variability in a reduced-gravity, quasigeostrophic double-gyre model. J. Phys. Oceanogr. 26:1996;739.
20. Patera A. T. A spectral element method for fluid dynamics: Laminar flow in a channel expansion. J. Comput. Phys. 54:1984;468.
21. Sidilkover D., Karniadakis G. E. Non-oscillatory spectral element Chebyshev method for shock wave calculations. J. Comput. Phys. 107:1993;10.
22. M. Taylor, J. Tribbia, M. Iskandarani, The spectral element method for the shallow water equations on the sphere, J. Comput. Phys.
23. Vandeven H. Family of spectral filters for discontinuous problems. J. Sci. Comput. 6:1991;159.