ADI Solution of the Inverse Balance Equation Over a Non-Rectangular Region
نویسنده
چکیده
A Poisson-type equation arising in a commonly used numerical weather forecasting model is solved using an alternating direction implicit (ADI) method with Wachpress optimum parameters on a trapezoidal domain which coincides with the operational forecast domain. Various optimum parameter sequences were obtained for the corresponding squares which enclose the region under consideration, computational efficiency being the criterion which determined the choice of the particular parameter sequence finally selected. In regard to accuracy and computational efficiency, results over several forecast days using the ADI method were compared with those obtained using the successive overrelaxation (SOR) method. I t turned out that for a 48 • 29 grid the ADI method was nearly three times as fast as the optimum SOR method.
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