A semi-implicit semispectral primitive equation model for lake circulation dynamics and its stability performance
We present a three-dimensional numerical model for the shallow water equations, suitable for determining the wind driven currents in homogeneous and stratified lakes. The model is based on the semispectral primitive equation model. A semi-implicit temporal integration scheme is proposed with the aid of which time integrations through realistic time spans for inland lakes become economical. By means of a large number of test runs in which the time step, the mesh size, and the austausch coefficients are changed, the numerical stability and the convergence of the code are determined.
semi-implicit temporal integration scheme
scientific article; zbMATH DE number 1140528