Accession Number : AD0774320

Title :   A Study of Finite Difference Methods for Solving Viscous and Inviscid Flows.

Descriptive Note : Master's thesis,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Flood,James Richard

Report Date : JUN 1973

Pagination or Media Count : 38

Abstract : The basic one-dimensional, time dependent gas dynamic equations were solved numerically using a number of second order schemes for the inviscid problems and an implicit fourth order method for both viscous and inviscid problems. The accuracy of the numerical solutions was evaluated by comparison with analytic solutions in most cases. The inviscid problems included accelerating piston, shock wave, compression wave, and isentropic expansion flows. The second order schemes used were MacCormack, Moretti, Richtmyer, Lax-Wendroff, Brailovskaya, Cheng-Allen, Crank-Nicholson, and Dufort-Frankel. Of these, MacCormack's scheme was found to give the best results for the problems considered.

Descriptors :   *INVISCID FLOW, *VISCOUS FLOW, *FINITE DIFFERENCE THEORY, GAS DYNAMICS, PARTIAL DIFFERENTIAL EQUATIONS, PARALLEL PROCESSING, NAVIER STOKES EQUATIONS, THESES

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE