Finite difference approximations, Discrete analogues of differential equations in meteorology, relaxation methods, advection equations, Time differencing schemes, stability analysis, shallow-water models and filtering, Integral invariants, enstrophy and energy conserving schemes, Matsuno, leap-frog schemes, geostrophic adjustment, spectral methods, semiimplicit formulation, Non-linear instability, vertical coordinates, vertical discretization, Limited area models, Ocean mixing and ocean wave modeling. |
Text/Reference Books:
- Kantha and Carol Anne Clayson. Numerical Models of Oceans and Oceanic Processes, Academic Press
- Benoit Cushman-Roisin and Jean-Marie Beckers. Introduction to Geophysical Fluid
- Dynamics, Volume 101, Second Edition: Physical and Numerical Aspects. Academic Press
- James C. McWilliams. Fundamentals of Geophysical Fluid Dynamics, Cambridge University Press
- Mark Z Jacobson. Fundamentals of Atmospheric Modeling, Cambridge University Press
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