A review of marching procedures for parabolized Navier-Stokes 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 layer-like 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:
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- Boundary Value Problems;
- Navier-Stokes 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