Application of a direct solver for space marching solutions
Abstract
The application of Newton iteration as a crossflow plane solver for space marching NavierStokes codes is examined. The NavierStokes 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 hyperbolicparabolic 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 spacemarching 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 1820, 1990. 17 p.
 Pub Date:
 June 1990
 Bibcode:
 1990fdpd.confQ....M
 Keywords:

 Computational Fluid Dynamics;
 Cross Flow;
 Iterative Solution;
 NavierStokes Equation;
 Newton Methods;
 Spatial Marching;
 Conical Flow;
 Corner Flow;
 Hyperbolic Differential Equations;
 Hypersonic Flow;
 Parabolic Differential Equations;
 Supersonic Flow;
 Fluid Mechanics and Heat Transfer