Numerical Solution of Navier-Stokes Problems by the Dual Variable Method

摘要

Computational fluid dynamics as a research area has attracted mathematicans not only because of its importance to the engineering community, but also because of the pitfalls that are encountered in solving various discretizations of the governing Navier-Stokes equations. Such pitfalls are highlighted in this paper along with methods to circumvent them. Discretizations of the Navier-Stokes equations often can be viewed as systems defining flows on an associated network. This observation provides a means of economizing on their numerical solution. (Author)