A review of marching procedures for parabolized NavierStokes equations
Abstract
Marching techniques for the parabolized Navier Stokes equations are considered. With the full pressure interaction and prescribed edge pressure these equations are weakly elliptic in subsonic zones. A minimum marching step size (delta x sub min), proportional to the total thickness of the subsonic layer, exists. However, for thin subsonic boundary layers (Y sub M = 1) and with delta x = 0(Y sub M), stable and accurate solutions are possible. With forward differencing of the axial pressure gradient the procedure can be made unconditionally stable; a global iteration procedure, requiring only the storage of the pressure term, has been demonstrated for a separated flow problem. Solutions for incompressible boundary layerlike flows, for internal flows, and for supersonic flow over a cone at incidence with a coupled strongly implicit procedure are presented.
 Publication:

Presented at the Symp. on Numerical and Phys. Aspects of Aerodyn. Flows
 Pub Date:
 February 1981
 Bibcode:
 1981npaa.symp...19R
 Keywords:

 Boundary Value Problems;
 NavierStokes Equation;
 Parabolic Differential Equations;
 Relaxation Method (Mathematics);
 Three Dimensional Flow;
 Boundary Layers;
 Conical Bodies;
 Iteration;
 Pressure Gradients;
 Separated Flow;
 Subsonic Flow;
 Supersonic Flow;
 Fluid Mechanics and Heat Transfer