Numerical analysis of slow steady and unsteady viscous flow by means of R-functions method

Abstract

This article is devoted to the linear problem of the steady and unsteady flows of a viscous incompressible fluid. The purpose of this paper is to compare the previously developed methods of numerical analysis of the steady and unsteady flows of a viscous incompressible fluid. The conducted experiments have confirmed that the stream function, the flow velocity, and other flow characteristics are converging to the steady state when the time is increasing. This allows us to say that the obtained methods work as expected. The further research may be devoted to the comparison of the solution methods for the nonlinear problems.