2018/06/30 by Gualtiero Badin, Marcel Oliver, Sergiy Vasylkevych · 5 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Closure (psychology) #Euler–Lagrange equation #Fluid Dynamics and Turbulent Flows #Geometric flow #Inverse problem for Lagrangian mechanics #Inviscid flow #Isotropy #Lagrangian #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing #Primitive equations #math-ph #math.MP #physics.ao-ph #physics.flu-dyn
paper · pdf · doi:10.1088/1751-8121/aae1cb
published in Journal of Physics A Mathematical and Theoretical 51(45), 455501 (Institute of Physics)
openalex created_date 2018/06/21 · arxiv created 2018/09/10 · openalex publication_date 2018/09/17 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05
Abstract 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 the geometric generalized Lagrangian mean recently introduced by Gilbert and Vanneste, combined with generalized Taylor and horizontal isotropy of fluctuations as turbulent closure hypotheses. The models we obtain arise as Euler–Poincaré equations and inherit from their parent systems conservation laws for energy and potential vorticity. They are structurally and geometrically similar to Euler–Boussinesq- α and primitive equations- α models, however feature a different regularizing second order operator.