A comparison of methods to balance geophysical flows

DOI10.1017/jfm.2023.602OpenAlexW4386546912MaRDI QIDQ6096860

Carsten Eden, Marcel Oliver, Unnamed Author, Unnamed Author

Publication date: 15 September 2023

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2023.602

zbMATH Keywords

internal wavehigher-order asymptotic solutioninertia-gravity wave modeoptimal balance methodrotating quasi-geostrophic flowsingle-layer rotating shallow water equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods applied to problems in fluid mechanics (76M20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Spectral methods applied to problems in fluid mechanics (76M22) Geophysical flows (76U60) Rossby waves (76U65)

Cites Work

• Data assimilation on the exponentially accurate slow manifold
• The persistence of balance in geophysical flows
• Spontaneous imbalance in the non-hydrostatic Boussinesq equations
• Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds
• Optimal potential vorticity balance of geophysical flows
• Balance and Spontaneous Wave Generation in Geophysical Flows
• Optimal balance for rotating shallow water in primitive variables
• Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging
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