Solution of transonic flows by an integro-differential equation method
Abstract
Solutions of steady transonic flow past a two-dimensional airfoil are obtained from a singular integro-differential equation which involves a tangential derivative of the perturbation velocity potential. Subcritical flows are solved by taking central differences everywhere. For supercritical flows with shocks, central differences are taken in subsonic flow regions and backward differences in supersonic flow regions. The method is applied to a nonlifting parabolic-arc airfoil and to a lifting NACA 0012 airfoil. Results compare favorably with those of finite-difference schemes.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- June 1978
- Bibcode:
- 1978STIN...7826391O
- Keywords:
-
- Differential Equations;
- Integral Equations;
- Numerical Integration;
- Problem Solving;
- Transonic Flow;
- Aerodynamics;
- Airfoil Profiles;
- Matrices (Mathematics);
- Perturbation;
- Steady Flow;
- Fluid Mechanics and Heat Transfer