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A Conservative Model for Nonlinear Dynamics in a Stratified, Rotating Fluid ArchiMer
Filatoff, Nicolas; Carton, Xavier.
We present a set of equations describing the nonlinear dynamics of flows constrained by environmental rotation and stratification (Rossby numbers Ro∈[0.1,0.5] and Burger numbers of order unity). The fluid is assumed incompressible, adiabatic, inviscid and in hydrostatic balance. This set of equations is derived from the Navier Stokes equations (with the above properties), using a Rossby number expansion with second order truncation. The resulting model has the following properties: 1) it can represent motions with moderate Rossby numbers and a Burger number of order unity; 2) it filters inertia-gravity waves by assuming that the divergence of horizontal velocity remains small; 3) it is written in terms of a single function of space and time (pressure,...
Tipo: Text Palavras-chave: Incompressible and Stratified Fluids; Intermediate Model; Rossby Number; Burger Number; Conservation Properties; Energy; Potential Vorticity.
Ano: 2018 URL: https://archimer.ifremer.fr/doc/00600/71195/69561.pdf
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