Accession Number : ADA135152
Title : Final Report on Grant AFOSR-82-0171.
Descriptive Note : Final rept. 1 May 82-30 Apr 83,
Corporate Author : FLORIDA UNIV GAINESVILLE DEPT OF MATHEMATICS
Personal Author(s) : McKenna,P J
PDF Url : ADA135152
Report Date : 30 Jun 1983
Pagination or Media Count : 54
Abstract : During this period the principal investigator has considered the effect of the artificial far field boundary on a finite different approximation of the Navier-Stokes equations for a compressible fluid considered for two dimensional boundary conditions for the far-field boundary can results in some of the following phenomena: (1) reflecting boundary conditions, in which the disturbances in the physical variables represented by the difference between the steady state flow and the initial conditions are not allowed to exit through the far-field boundary but instead continue echoing up and down the grid; (2) under-specified boundary conditions, in which the converged steady state solution may depend on the initial conditions; and (3) over-specified boundary conditions in which large errors are introduced before convergence takes place. The following conclusions may be drawn from the numerical experiments conducted as a part of the research effort: There are four distinct artificial nonreflecting boundaries containing free-stream information, these being the inflow, outflow, top-sidewall and bottom-sidewall. Each of these boundaries must be treated differentially, or errors are introduced into the system.
Descriptors : *Navier Stokes equations, *Compressible flow, *Fluid flow, *Numerical methods and procedures, Gas dynamics, Two dimensional flow, Far field, Boundaries, Linearity, Steady state, Nonlinear systems, Free stream, Flight simulation
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE