The calculation of supersonic viscous flows using the parabolized Navier-Stokes equations
Abstract
Solution of the parabolic Navier-Stokes (PNS) equations for supersonic flows is discussed, and compatibility of the PNS method with the triple-deck theory of Stewartson (1974) is demonstrated. Characteristic and stability analyses show that use of an appropriate filter on the pressure term in the x-momentum 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 Navier-Stokes 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;
- Navier-Stokes Equation;
- Supersonic Flow;
- Viscous Flow;
- Corner Flow;
- Finite Difference Theory;
- Flow Stability;
- Iterative Solution;
- Parabolic Differential Equations;
- Pressure Gradients;
- Fluid Mechanics and Heat Transfer