A local, minimum aliasing method for use in nonlinear numerical models

Abstract

The technique embodies many features of both spectral transform methods and conventional finite difference techniques. The method is derived by applying a digital filtering approximation to a formulation of the nonlinear problem similar to the formulation that leads to the spectral transform method, and shares many of the desirable performance characteristics of that method. In contrast to the spectral transform method, the local spectral method can be implemented on a parallel processing computer system without requiring each processor to have a global knowledge of the values of variables in order to compute spatial derivatives. -from Author