Certain Finite-Difference Schemes for Equations of the Nonstationary Laminar Boundary Layer.

摘要

A number of stable implicit finite-difference schemes for the solution of the nonstationary Navier-Stokes equations have been proposed. In this article analogies of these schemes for equations of the nonstationary laminar boundary layer are given; it is shown that these schemes in the two-dimensional and three-dimensional case are decomposed into uniform finite-difference schemes; the unique solvability of the appearing linear algebraic systems of equations is proven, and it is shown that these systems can be solved by means of a uniform trial run.