An accurate, stable, explicit, parabolized Navier-Stokes solver for high speed flows
Abstract
A fully vectorized, three-dimensional MacCormack explicit parabolized Navier-Stokes (PNS) solver is presented in which the familiar problem of decoding the conservative axial flow vector has been overcome. Computed two-dimensional results are presented for supersonic flat plate flow and Mach 14.1 flow over a 15 degree compression ramp. Three-dimensional results are given for turbulent supersonic flow over a secant-ogive-cylinder boat tail projectile at angle of attack and laminar Mach 8 flow over a sharp-nosed cone at moderate angle of attack. The computed results are in very good agreement with experiment and with solutions of the full Navier-Stokes equations. Computational times required for the MacCormack explicit PNS code are approximately equal to those for the existing implicit PNS solvers, and the explicit code is robust enough to allow starting the computation from free stream conditions. Little or no damping is required once the initial starting transients have been reduced.
- Publication:
-
4th Fluid Mechanics, Plasma Dynamics and Lasers Conference
- Pub Date:
- May 1986
- Bibcode:
- 1986fmpd.conf.....G
- Keywords:
-
- Computational Fluid Dynamics;
- High Speed;
- Navier-Stokes Equation;
- Numerical Stability;
- Parabolic Differential Equations;
- Accuracy;
- Boundary Value Problems;
- Conservation Laws;
- Flow Velocity;
- Pressure Gradients;
- Fluid Mechanics and Heat Transfer