Numerical Method for Time-Dependent Two-Dimensional Viscous Flows : Part 1, Fundamental Method

Abstract

Although the Navier-Stokes equations have been solved directly by using the finite-difference method, the calculation requires in general method for time-dependent two-dimensional laminar flows is proposed with the aim of reducing the time spent and increasing the accuracy of the solutions is investigated theoretically from the truncation errors, and the stability criteria are derived from the inherited errors. A comparison of such accuracy and also some numerical examples of the present and the other available methods show that the second approximation of the present method is the most suitable.