Solutions of the compressible NavierStokes equations using the integral method
Abstract
The integral representation method was used to obtain numerical solutions of the compressible, unsteady, twodimensional NavierStokes equations for subsonic flows. The equations were written with the vorticity, the dilatation, the density, and the enthalpy as the dependent variables. The method was tested by solving the following problems: the flow over a flat plate, around a circular cylinder, and around a Joukowski airfoil. The last two problems involved massive flow separation. The approach offers the capability of confining the domain of computations to the region where two quantities, the vorticity and the difference in dilatation between the real flow and the potential flow around the body, are nonnegligible.
 Publication:

AIAA Journal
 Pub Date:
 March 1982
 DOI:
 10.2514/3.7917
 Bibcode:
 1982AIAAJ..20..356E
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Integral Equations;
 NavierStokes Equation;
 Subsonic Flow;
 Unsteady Flow;
 Circular Cylinders;
 Flat Plates;
 Joukowski Transformation;
 Potential Flow;
 Pressure Distribution;
 Separated Flow;
 Viscous Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer