Abstract
Global models of atmospheric flow based on a spectral representation of the horizontal variation of dynamic variables have now become widely used in both research and operational environments. The detailed formulation of such models is discussed in the present chapter. Consideration is given to the properties of spherical harmonics, the principles of the transform method, primitive equation model formulation, model linearizations relevant to normal modes and semi-implicit time differencing, and to the current applications of spectral models in numerical weather prediction and in climate simulation.
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