Author:
Lucas Carine,McWilliams James C.,Rousseau Antoine
Abstract
In this article, we work on nontraditional models where the so-called traditional approximation on the Coriolis force is removed. In the derivation of the quasi-geostrophic equations, we carefully consider terms in δ/ε, where δ (aspect ratio) and ε (Rossby number) are both small numbers. We provide here some rigorous crossed-asymptotics with regards to these parameters, prove some mathematical results and compare QHQG and QG models.
Subject
Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics
Reference31 articles.
1. The dissipative quasigeostrophic equations
2. Validity of the Quasigeostrophic Model for Large-Scale Flow in the Atmosphere and Ocean
3. F.J. Bretherton and M.J. Karweit, Mid-ocean mesoscale modeling. In Numerical Models of Ocean Circulation. Ocean Affairs Board, National Research Council, National Academy of Sciences, Washington, DC (1975) 237–249.
4. Geostrophic Turbulence
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