Optimum design in distributed parameter systems
Abstract
A new numerical method for the computation of sensitivity of design performance functional with respect to boundary variations is used to study the optimum design problems in general distributed parameter systems. The method is based on a modification of schemes in functional derivative sensitivity analysis and includes a specialization of the optimal control algorithms in distributed parameter systems. A design sensitivity theorem is derived for the determination of the optimum boundary location that minimizes a design performance functional. Necessary conditions for minimum drag profiles in unsteady Navier-Stokes flows are obtained and a numerical design algorithm based on the gradient method is formulated.
- Publication:
-
NASA STI/Recon Technical Report A
- Pub Date:
- 1982
- Bibcode:
- 1982STIA...8439738K
- Keywords:
-
- Airfoil Profiles;
- Computer Aided Design;
- Distributed Parameter Systems;
- Minimum Drag;
- Navier-Stokes Equation;
- Optimization;
- Aircraft Design;
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Sensitivity;
- Variational Principles;
- Fluid Mechanics and Heat Transfer