Numerical Grid Generation and Potential Airfoil Analysis and Design
Abstract
The primary objective of this thesis is to explore the feasibility of using parabolic partial differential equation techniques for numerical grid generation for two-dimensional aerodynamic configurations. The contents include a discussion of grid generation concepts and schemes in the literature, iterative methods for numerical grid generation and two differential grid generation schemes: (1) an elliptic, and (2) a parabolic scheme. A detailed mathematical and numerical representation of both schemes is given. The main purpose in the treatment of the elliptic scheme is to introduce the necessary transformations to provide equations that will establish the particular parabolic scheme development. Surface singularity methods are found to be a good means for solution of potential flow problems. They can handle both single and multicomponent airfoils in analysis and design processes. The stream function approach appears to be very stable and a simple panel method applicable for practical initial analysis and design airfoil problems. The method provides reduction in the number of panels in comparison with other surface singularity methods and the best results were obtained with 40-60 panels per airfoil section. The modified approach for computing the actual position of the trailing edge provides designed airfoils with smooth shapes and stable design process.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1988
- Accession Number
- ADA197972
Entities
People
- Mato F. Siladic
Organizations
- Air Force Institute of Technology