Title:  A Navier-Stokes Algorithm for Turbulent Flows Using an Unstructured
Grid and Flux Difference Splitting

Authors: F. Jacon and D. Knight

Date:    May, 1994

Abstract:  An algorithm has been developed for the two-dimensional Reynolds-
Averaged Navier-Stokes equations. The effects of turbulence are modelled by
the standard k - e model of Launder and Spalding.  The equations are solved 
using an unstructured grid of traingles with the flow variables stored at the
centroids of the cells.  The treatment of the inviscid fluxes is performed
with Roe's flux difference split method.  Turbulent and viscous stresses
and heat transfer are obtained from a discrete representation of Gauss's
theorem.  For the inviscid fluxes, linear reconstruction of the flow variables
to the cell faces provides second-order spatial accuracy.  Interpolation of
the flow variables to the nodes is achieved using a second-order accurate
method.  A four stage modified Runge-Kutta scheme is employed for the
temporal integration providing second-order accuracy in time.  The algorithm
is appleid to an incompressible turbulent far wake, a supersonic turbulent
mixing layer and boundary layers over flat plates at Mach numbers of 0.1 and 
2.0 using laws of the wall as boundary conditions. Results are in excellent
agreement with previous computations.

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