Abstract
Low-order models (LOMs) are commonly developed by employing the Galerkin technique. Unfortunately, along with a number of highly attractive features, the method does not provide criteria for selecting modes, nor a guarantee that a model based on a particular set of modes will behave anything like the original system. Moreover, fundamental conservation properties of the fluid dynamical equations are sometimes violated in LOMs, and they may exhibit unphysical behavior (throughout the paper conservation is assumed in the absence of forcing and dissipation).
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References
Charney, J. G. and Devore, J. G. (1979) Multiple flow equilibria in th ~ atmosphere and blocking, J. Atmos. Sci. 36, 1205–1216.
De Swart, H. E. (1988) Low-order spectral models of the atmospheric circulation: a survey, Acta Appl. Math. 11, 49–96.
Gluhovsky, A. (1982) Nonlinear systems that are superpositions of gyrostats, Sov. Phys. Doklady 27, 823–825.
Gluhovsky, A. and Agee, E. M. (1997) An interpretation of atmospheric low-order models, J. Atmos. Sci. 54, 768–773.
Gluhovsky, A. and Tong, C. (1999) The structure of energy conserving low-order models, Phys. Fluids 11, 334–343.
Hermiz, K. B., Guzdar, P. N., and Finn, J. M. (1995) Improved low-order model for shear flow driven by Rayleigh-Benard convection, Phys. Rev. E 51, 325 (1995).
Howard, L. N., and Krishnamurti, R. (1986) Large-scale flow in turbulent convection: a mathematical model, J. Fluid Mech. 170, 385–410.
Lorenz, E. N. (1963) Deterministic nonperiodic flow, J. Atmos. Sci. 20, 130–141.
Thiffeault, l-L., and Horton, W. (1996) Energy-conserving truncations for convection with shear flow, Phys. Fluids 8, 1715–1719
Volterra, V. (1899) Sur la theorie des variations des latitudes, Acta Math., 22, 201–358.
Wittenburg, J. (1977) Dynamics of Systems ofRigid Bodies, B. G. Teubner, Stuttgart.
Yoden, S. (1985) Bifurcation properties of a quasi-geostrophic, barotropic, low-order model with topography, J. Meteor. Soc. Japan 63, 535–546.
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© 2001 Springer Science+Business Media Dordrecht
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Gluhovsky, A., Tong, C. (2001). Low-Order Models of Atmospheric Dynamics with Physically Sound Behavior. In: Hodnett, P.F. (eds) IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics. Fluid Mechanics and Its Applications, vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0792-4_17
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DOI: https://doi.org/10.1007/978-94-010-0792-4_17
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