Numerical techniques for the solution of the compressible NavierStokes equations and implementation of turbulence models
Abstract
The timesplitting explicit numerical method of MacCormack is applied to separated turbulent boundary layer flow problems. Modifications of this basic method are developed to counter difficulties associated with complicated geometry and severe numerical resolution requirements of turbulence model equations. The accuracy of solutions is investigated by comparison with exact solutions for several simple cases. Procedures are developed for modifying the basic method to improve the accuracy. Numerical solutions of highReynoldsnumber separated flows over an airfoil and shockseparated flows over a flat plate are obtained. A simple mixing length model of turbulence is used for the transonic flow past an airfoil. A nonorthogonal mesh of arbitrary configuration facilitates the description of the flow field. For the simpler geometry associated with the flat plate, a rectangular mesh is used, and solutions are obtained based on a twoequation differential model of turbulence.
 Publication:

In AGARD Computational Methods for Inviscid and Viscous TwoandThreeDimensional Flow Fields 24 p (SEE N7531385 2234
 Pub Date:
 February 1975
 Bibcode:
 1975cmiv.agarQ....B
 Keywords:

 Boundary Layer Separation;
 NavierStokes Equation;
 Separated Flow;
 Turbulence Models;
 Turbulent Flow;
 Airfoils;
 Flow Distribution;
 Flow Geometry;
 Mixing Length Flow Theory;
 Shock Waves;
 Fluid Mechanics and Heat Transfer