
Accession Number : AD0635880
Title : NUMERICAL SOLUTION OF THE EQUATIONS OF THE 'ONEPARAMETER' BOUNDARYLAYER THEORY.
Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
Personal Author(s) : Simuni, L. M. ; Terentev,N. M.
Report Date : 15 JUN 1966
Pagination or Media Count : 7
Abstract : The parameter method of Loitsyanskii is applied to numerical solution of a universal partial differential boundarylayer equation containing only one form parameter. Initial conditions for integration are the stream function values obtained by Loitsyanskii in the vicinity of the regular singular point of the equation. Introduction of stream velocity components leads to a system of partial differential equations with boundary conditions which is similar to the coventional boundarylayer equations and is solved by a finitedifference method. The procedure of solution, the formulas for calculating the values of the velocity components and stream function, and the computational technique are given. The accuracy of the calculation near the singular point was checked by comparing the results of numerical integration with those obtained by series expansion. Coincidence up to the fourth significant digit was obtained in the first steps. (Author)
Descriptors : (*NUMBERICAL ANALYSIS, *PARTIAL DIFFERENTIAL EQUATIONS), (*BOUNDARY LAYER, THEORY), BOUNDARY VALUE PROBLEMS, SERIES(MATHEMATICS)
Subject Categories : Numerical Mathematics
Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE