A numerical method for solving the Navier-Stokes equations with application to shock-boundary layer interactions
Abstract
A numerical method for solving the compressible form of the unsteady Navier-Stokes equations is described. This method was originally presented in 1970 and has since been modified during the development of computer programs at Ames for implementing models that account for the effects of turbulence in shock-induced separated flows. Although this paper does not describe the turbulence models themselves, a complete description of the basic numerical method is given with emphasis on the choice of a computational mesh for high Reynolds number flows, finite-difference approximations for mixed partial derivatives, extension of the Courant-Friedrichs-Lewy stability condition for viscous flows, mesh boundary conditions, and numerical smoothing for strong shock-wave calculations.
- Publication:
-
AIAA, 13th Aerospace Sciences Meeting
- Pub Date:
- January 1975
- Bibcode:
- 1975aiaa.meetU....M
- Keywords:
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- Boundary Layer Separation;
- Finite Difference Theory;
- Navier-Stokes Equation;
- Shock Wave Interaction;
- Boundary Conditions;
- Compressible Flow;
- Computer Programs;
- Couette Flow;
- Data Smoothing;
- Flow Stability;
- Flow Velocity;
- Inviscid Flow;
- Laminar Flow;
- Prandtl Number;
- Turbulence Models;
- Turbulent Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer