Accession Number : AD0635880

Title :   NUMERICAL SOLUTION OF THE EQUATIONS OF THE 'ONE-PARAMETER' BOUNDARY-LAYER 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 boundary-layer 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 boundary-layer equations and is solved by a finite-difference 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