The calculation of supersonic viscous flows using the parabolized NavierStokes equations
Abstract
Solution of the parabolic NavierStokes (PNS) equations for supersonic flows is discussed, and compatibility of the PNS method with the tripledeck theory of Stewartson (1974) is demonstrated. Characteristic and stability analyses show that use of an appropriate filter on the pressure term in the xmomentum equation can suppress the departure solutions, giving the usual desired weak interaction solution. An Alternating Direction Explicit procedure, with minimal computer storage requirements compared to the full NavierStokes solvers, is proposed to calculate strongly interacting flows using a global iteration procedure for the PNS equations. The PNS equations are used to solve the hypersonic viscous interaction problem, and good agreement is found with experimental results.
 Publication:

Computers and Fluids
 Pub Date:
 1986
 Bibcode:
 1986CF.....14..197D
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Interactional Aerodynamics;
 NavierStokes Equation;
 Supersonic Flow;
 Viscous Flow;
 Corner Flow;
 Finite Difference Theory;
 Flow Stability;
 Iterative Solution;
 Parabolic Differential Equations;
 Pressure Gradients;
 Fluid Mechanics and Heat Transfer