Application of a direct solver for space marching solutions
Abstract
The application of Newton iteration as a crossflow plane solver for space marching Navier-Stokes codes is examined. The Navier-Stokes equations are parabolized by neglecting viscous derivative terms in the marching direction and special treatment of the pressure term in the axial momentum equation. The resulting hyperbolic-parabolic system of equations is solved in a single sweep by marching from the upstream boundary to the downstream boundary. Newton iteration is applied on each space-marching step to obtain a converged solution on the crossflow plane. Sample results are shown for a Mach 14 compression corner flow, and a Mach 8 high angle of attack cone flow.
- Publication:
-
AIAA, Fluid Dynamics, 21st Plasma Dynamics and Lasers Conference, 21st, Seattle, WA, June 18-20, 1990. 17 p.
- Pub Date:
- June 1990
- Bibcode:
- 1990fdpd.confQ....M
- Keywords:
-
- Computational Fluid Dynamics;
- Cross Flow;
- Iterative Solution;
- Navier-Stokes Equation;
- Newton Methods;
- Spatial Marching;
- Conical Flow;
- Corner Flow;
- Hyperbolic Differential Equations;
- Hypersonic Flow;
- Parabolic Differential Equations;
- Supersonic Flow;
- Fluid Mechanics and Heat Transfer