Project Title:

Robust Nonequlibrium Parabolized Navier-Stokes Code

02.01-4766
Project Title:Robust Nonequlibrium Parabolized Navier-Stokes Code
Company:Engineering Analylsis Inc.
Ames, IO 50010 
Principal Investigator:John C. Tannehill

Abstract:

The goal of this research is to produce a new, real gas, three-dimensional, parabolized
Navier-Stoles (PNS) code which is more robust, more accurate, and easier to use than
those presently in existence.  Most "current day" PNS codes (including the AFWAL
PNS code) are based on the noniterative implicit Beam-Warming finite-difference scheme.
 Unfortunately, codes of this type have proven to be unreliable at times as a result
of the central differencing and approximate factorization which are employed in the
numerical scheme.  In the proposed research, a new, real gas, PNS code will be developed
based on Toe's upwind scheme.  The natural dissipation associated with this scheme
is sufficiently adaptive to local flow conditions that no additional "smoothing"
is required even in the presence of very strong shock waves.  The new PNS code will
permit either perfect gas, equilibrium, or nonequilibrium calculations to be performed.
 For the nonequilibrium calculations, the finite-rate chemistry will be directly
coupled with the fluid dynamics in a noniterative manner.  During Phase I, a two-dimensional/axially
symmetric version of the code will be developed.  Utilizing the experience gained
from Phase I, a fully three-dimensional code will be produced in Phase II.