Baylor Fox-Kemper, Brown University, USA
Equations of motion for oceans:
Direct Numerical Simulations: Compressible, Rotating,
Navier-Stokes with Energy, Salt, Tracer Budgets
Boussinesq Approximation
Wave-Averaged Equations (Briefly contrast against Mellor, Janssen,
Longuet-Higgins/Radiation Stress, Ardhuin/GLM Approaches)
Wave Equations.
Dimensionless versions for oceanographic applications.
Limits of Interest:
Nonhydrostatic, Wave-Averaged Dynamics: 3D Langmuir Turbulence
Hydrostatic, Wave-Averaged Primitive Equations: Wavy Submesoscale
Quasi- and Semi-geostrophic Equations: Mesoscale
Planetary-geostrophic Equations: Climate Scale Boundary Conditions:
Esoterica:
Lagrangian vs. Eulerian coordinates
Notions of Averaging: Residual Mean, GLM, TEM.
Guiding Principles of Dynamics:
Conservation Principles, esp., PV, Buoyancy, Energy, Enstrophy
Waves
Turbulence
Phenomenology:
Budgets
