Accession Number : AD0685616

Title :   NUMERICAL INVESTIGATION OF THE FORMATION OF DISCONTINUITIES IN NONISENTROPIC INVISCID FLOWS.

Descriptive Note : Technical rept.,

Corporate Author : GENERAL ELECTRIC CO PHILADELPHIA PA MISSILE AND SPACE DIV

Personal Author(s) : Gordon,Paul ; Scala,Sinclaire M.

Report Date : 15 JAN 1969

Pagination or Media Count : 53

Abstract : The possibility of the occurrence of discontinuities in inviscid flows governed by the Euler Equations is a well-recognized phenomenon. It has been established mathematically that discontinuities must appear in some circumstances; a planar piston accelerating into a stationary isentropic fluid must produce a 'shock' discontinuity. Artificial viscosity techniques have been developed in order to overcome the difficulties associated with mathematical discontinuities. The report considers two questions: (1) Is it possible to utilize a numerical scheme for the inviscid equations, for both isentropic and nonisentropic flow, such that the stability of the method does not depend on an artificial viscosity effect. (2) Is it possible to have continuous nonisentropic, inviscid flows in which there are subsonic and supersonic regions. (Author)

Descriptors :   (*FLOW FIELDS, NUMERICAL ANALYSIS), ENTROPY, SUBSONIC CHARACTERISTICS, SUPERSONIC CHARACTERISTICS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, SHOCK WAVES, EQUATIONS OF STATE, EXPLOSIONS, PISTONS, ONE DIMENSIONAL FLOW, COMPRESSIBLE FLOW, INJECTION, STABILITY

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE