High order modified differential equation of the Beam-Warming method, Ⅱ. The dissipative features

摘要

This paper is a continuation of [38]. The analysis of the modified partial differential equation (MDE) of the constant-wind-speed linear advection equation explicit difference scheme up to the eighth-order derivatives is presented. In this paper the authors focus on the dissipative features of the Beam-Warming scheme. The modified partial differential equation is presented in the so-called II-form of the first differential approximation. The most important part of this form includes the coefficients mu (p) at the space derivatives. Analysis of these coefficients provides indications of the nature of the dissipative errors. A fragment of the stencil for determining the modified differential equation for the Beam-Warming scheme is included. The derived and presented coefficients mu (p) as well as the analysis of the dissipative features of this scheme on the basis of these coefficients have not been published so far.