Abstract
The prediction of extremely high wind speeds at ground level on the downstream side of a mountain range is possible by solving the initial value problem for a two-layered nonlinear “shallow-water” model of the atmosphere. Three different numerical methods are described to find the solutions which may involve shocks: (i) the von Neumann-Richtmyer artificial viscosity method, (ii) a filtering scheme, and (iii) a hybrid method.
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