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 modelling.
Text/Reference Books:
1. Kantha and Carol Anne Clayson. Numerical Models of Oceans and Oceanic Processes, Academic Press
2. James C. McWilliams. Fundamentals of Geophysical Fluid Dynamics , Cambridge University Press
3. Mark Z Jacobson. Fundamentals of Atmospheric Modeling, Cambridge University Press |