Numerical Solution of Viscous Flow around a Two-Dimensional Finite Flat Plate : Finite Analytic Method used a Quadratic Equation for Approximation of Pressure Distributions on the Regular Mesh

Abstract

On a regular mesh the 4-points finite analytic method is presented for uncompressible viscous flow around a two-dimensional finite flat plate. At this time it is assumed that pressure distributions is expressed by a quadratic equation on the grid. Consequently smooth pressure distributions can be obtained. The subsequent algebraic matrix is made from the Navier-Stokes equations and a continuity equation, and so solved directly at the same time. The results of a flat plat at 0° incidence are calculated for the steady and surging motion cases. And the results of 90° incidence are exhibited for the sudden starting and uniformaly acceleration. The vortex length of the two cases are agreed with Taneda's experiments.