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What is covered in this course: fundamental equations; mathematical basis of forecasting; finite difference methods for time and space, advection, and diffusion; accuracy, discretization error, and convergence; numerical stability and aliasing instability; staggered grids; perturbation method, Reynolds averaging, and sub-grid closure; lateral, upper, and lower boundary conditions; nesting; Kessler moist physics; quasi-compressible model framework and creation of a quasi-compressible atmospheric model. What is not covered in this course: LaGrangian and semi-LaGrangian methods; spectral methods; finite element methods; non-Cartesian coordinate systems; other physical parameterizations; data analysis and assimilation techniques; configurations and results for current operational models. |