A note on the numerical solution of the von Karman small disturbance equation
Abstract
In this short note, the von Karman small disturbance equation is derived from the full potential equation of gas dynamics through perturbation methods. Guderley (1962) and Germain (1964) have previously computed exact solutions, in similarity form, for the small disturbance equation. It is shown that these solutions can be computed efficiently by solving a single nonlinear second-order differential equation. The shock and entropy conditions are automatically satisfied, and a one-parameter family of solutions is recovered.
- Publication:
-
Communications in Applied Numerical Methods
- Pub Date:
- September 1985
- Bibcode:
- 1985CANM....1..209P
- Keywords:
-
- Computational Fluid Dynamics;
- Gas Dynamics;
- Ideal Gas;
- Small Perturbation Flow;
- Von Karman Equation;
- Differential Equations;
- Inviscid Flow;
- Potential Theory;
- Steady Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer