
Accession Number : ADA191254
Title : Final Report on AFOSR (Air Force Office of Scientific Research) Contract F4962083C0064 on Massachusetts Institute of Technology, Cambridge. Volume 2.
Descriptive Note : Rept. for 1 Feb 8330 Nov 84,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF MATHEMATICS
Personal Author(s) : Orszag, Steven A
PDF Url : ADA191254
Report Date : May 1987
Pagination or Media Count : 29
Abstract : Downstream marching iterative schemes for the solution of the Parabolized or Thin Layer(PNS or TL) NavierStokes equations are described. Modifications of the primitive equation global relaxation sweep procedure result in efficient secondorder marching schemes. These schemes take full account of the reduced order of the approximate equations as they behave like the SLOR for a single elliptic equation. The improved smoothing properties permit the introduction of MultiGrid Acceleration. The proposed algorithm is essentially Reynolds number independent and therefore can be applied to the solution of the subsonic Euler equations. The convergence rates are similar to those obtained by the MultiGrid solution of a single elliptic equation; the storage on is also comparable as only the pressure has to be stored all levels. Extensions to threedimensional and compressional subsonic flows are discussed. Numerical results are presented. Keywords: Steady imcompressible two dimensional equations.
Descriptors : *ITERATIONS, *NAVIER STOKES EQUATIONS, ADAPTERS, ALGORITHMS, CONVERGENCE, DIFFERENTIAL EQUATIONS, ELLIPSES, NUMERICAL ANALYSIS, RATES, SOLUTIONS(GENERAL), STORAGE, SUBSONIC FLOW, THREE DIMENSIONAL FLOW, INCOMPRESSIBILITY
Subject Categories : Fluid Mechanics
Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE