Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid

Details Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid Lagrangian approach to geostrophic adjustment of frontal anomalies in a stratified fluid

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gapfd..99..101p&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 99, Issue 2, p.101-135

Physics

Fluid Dynamics

7

Scientific paper

Geostrophic adjustment of frontal anomalies in a rotating continuously stratified fluid is studied in the standard framework of strictly rectilinear fronts and jets. Lagrangian approach to this problem is developed allowing to analyze, in a conceptually and technically simple way, both major problems of the nonlinear adjustment: the existence of a smooth adjusted state for a given set of initial conditions and the attainability of the adjusted state during the adjustment process. Dynamical splitting into balanced (adjusted state) and unbalanced (inertia-gravity waves) motions becomes transparent in the Lagrangian approach. Conditions of existence of the balanced state in the unbounded domain are established. It is shown that nonexistence of a smooth adjusted state in the vertically bounded domains is generic and a parallel with the classical scenario of deformation frontogenesis is developed. Small perturbations around smooth adjusted states are then studied with special emphasis on the wave-trapping inside the jet/front. Trapped modes with horizontal scales comparable to the width of the jet are explicitly constructed for a barotropic jet and their evolution is studied with the help of the WKB-approximation for weakly baroclinic jets. Modifications of the standard scenario of adjustment due to subinertial (quasi-) trapped modes and implications for data analysis are discussed.

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