Application of Sensitivity Analysis to the Finite Element Method: Finite Element Analysis and Sensitivity Analysis for the Potential Equation - Softcover

Capozzi, Marco G.F.

Softcover

ISBN 10: 3639115619 ISBN 13: 9783639115611

Publisher: VDM Verlag Dr. Müller, 2009

Synopsis

Finite element analysis and sensitivity analysis has been performed on Poisson's equation. An application is that of potential flow, in which case Poisson¿s equation reduces to Laplace¿s equation. The stiffness matrix and its sensitivity are evaluated by direct integration, as opposed to numerical integration. This allows less computational effort and minimizes the sources of computational errors. The capability of evaluating sensitivity derivatives has been added in order to perform design sensitivity analysis of non-lifting airfoils. The discrete-direct approach to sensitivity analysis is utilized in the current work. The potential flow equations and the sensitivity equations are computed by using a preconditioned conjugate gradient method which greatly reduces the time required to perform analysis, and the subsequent design optimization. Airfoil shape is updated at each design iteration by using a Bezier-Berstein surface parameterization. The unstrucured grid is adapted considering the mesh as a system of inteconnected springs. Numerical solutions are compared with analytical results obtained for a Joukowsky airfoil.

About this title

About the Author

Marco G.F. Capozzi: Laurea in Mechanical Engineering taken at Politecnico di Bari and a Master of Science in Aerospace Engineering taken at the Mississippi State University. He's currently working at General Motors Powertrain Europe in Turin, Italy, as a thermo-structural engineer.

Edition details

• Publisher: VDM Verlag Dr. Müller
• Publication date: 2009
• Language: English
• ISBN 10: 3639115619
• ISBN 13: 9783639115611
• Binding: Paperback
• Number of pages: 76