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Geometric Lagrangian averaged Euler–Boussinesq and primitive equations

Geometric Lagrangian averaged Euler–Boussinesq and primitive equations

In this article we derive the equations for a rotating stratified fluid governed by inviscid Euler-Boussinesq and primitive equations that account for the effects of the perturbations upon the mean. Our method is based on the concept of geometric generalized Lagrangian mean recently introduced by Gilbert and Vanneste, combined with …