Accurate and efficient solutions of compressible internal flows
Abstract
The present paper applies a new 'perturbative lambda formulation' to onedimensional and twodimensional compressible internal flows. The lambda Euler equations are recasted in terms of perturbationtype variables, which are the difference between the usual characteristic (Riemann) variables and those corresponding to an appropriate incompressible flow. In this way the geometryinduced gradients are accounted for by the incompressible flow solution and the rather smooth correction, due to the compressibility effects, can be solved accurately even on a very coarse mesh. The perturbative equations are provided for the cases of onedimensional and twodimensional flows and are solved numerically by means of a fully implicit and an alternating direction implicit method, respectively. The accuracy and efficiency of the proposed approach is demonstrated by means of a few exampleapplications.
 Publication:

AIAA
 Pub Date:
 June 1984
 Bibcode:
 1984jpco.conf.....D
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 One Dimensional Flow;
 Transonic Flow;
 Two Dimensional Flow;
 Channel Flow;
 Flow Geometry;
 Perturbation Theory;
 Subsonic Flow;
 Fluid Mechanics and Heat Transfer