Mathematical Improvement of Method for Computing Poisson Integrals Involved in Determination of Velocity Distribution on Airfoils
Abstract
The Poisson integral involved in the determination of the change in velocity distribution resulting from a change in airfoil profile in parallel incompressible flow is solved. First, three well-developed numerical methods of evaluating this integral, all based on the division of the range of integration into small equal intervals, and the difficulties involved in each method, are discussed. Then a new method, based on the use of unequal intervals, is developed, and compared with the other methods by means of several examples. The new method is found to give good results for both the direct and inverse airfoil problems and is easily adaptable to rather complicated problems. It is particularly recommended for all those functions where steep slopes in small portions of the region to be integrated exist.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1951
- Accession Number
- ADA384007
Entities
People
- I. Fluegge-lotz
Organizations
- National Aeronautics and Space Administration