Airfoil Design by an All-At-Once Method
Abstract
The all-at-once approach is implemented to solve an optimum airfoil design problem. The airfoil design problem is formulated as a constrained optimization problem in which flow variables and design variables are viewed as independent and the coupling steady state Euler equation is included as a constraint, along with geometry and other constraints. In this formulation, the optimizer computes a sequence of points which tend toward feasiblility and optimality at the same time (all-at-once). This decoupling of variables typically makes the problem less nonlinear and can lead to more efficient solutions. In this paper an existing optimization algorithm is combined with an existing flow code. The problem formulation, its discretization, and the underlying solvers are described. Implementation issues are presented and numerical results are given which indicate that the cost of solving the design problem is approximately six times the cost of solving a single analysis problem.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 05, 1997
- Accession Number
- ADA470562
Entities
People
- Ajit Shenoy
- Eugene M. Cliff
- Matthias Heinkenschloss
Organizations
- Virginia Tech