Reduction of dispersion in hyperbolic difference schemes by adapting the space discretization

摘要

A fourth-order accurate difference scheme for systems of hyperbolic equations is presented. The dispersion in this scheme can be reduced if it is known in advance in which region the frequencies of the dominant Fourier components are located. All method parameters are explicitly expressed in terms of the bounds on the dominating frequencies. The performance of the method is illustrated by an application to the shallow water equations.