Titlebook: Computational Methods for Optimal Design and Control; Proceedings of the A Jeff Borggaard,John Burns,Scott Schreck (Directora Conference pr

annexation

Adjoint-Based Methods in Aerodynamic Design-Optimization,c design. While there is an extensive literature on numerical implementation of these ideas, the underlying mathematical treatment is usually quite formal. Here we focus on rigorous justification of the approach and on careful characterization of the underlying function spaces. One practical result

handle

Semi-Automatic Differentiation,rentiation ideas. We discuss the program structure of generic inverse problems and then illustrate, with two examples (one example involves the heat equation, the other involves wave propagation) how structure can be used in combination with automatic differentiation. Finally, we report numerical re

FADE

abduction

Modern Optimization Methods for Structural Optimization under Flutter Constraints,ic parameter dependent eigenvalue problem. The stability is described by the real parts of the eigenvalues. The optimization problem consists of finding design parameters which satisfy certain criteria, for example minimal weight under the restriction of stability. This is reduced to a semi-infinite

Palatial

On Shape Optimization and Related Issues, equations. The practical calculation of the objective function gradient is one of these issues and it clearly includes the use of Automatic Differentiation (AD) techniques for derivative computations. Also, we shall take advantage of this article to describe some recent results concerning the contr

苦涩

Using Sensitivities for Flow Analysis, systems. The method yields stability derivatives, provides parametric guidance, accurately predicts boundary-layer thinning and growth, the onset of flow separation, separation bubbles, and the driving mechanisms in chemically reacting flows. The accuracy of sensitivity-equation calculations are as

absorbed

Sensitivities in Computational Methods for Optimal Flow Control,ternal energy, temperature, etc.;.. velocity on the boundary, heat flux on the boundary, parameters that determine the shape of the boundary, etc.;...; and...=0, i.e., the flow equations;.side constraints.

Delude

Process Modeling and Optimization: Issues and Challenges,sical modeling, numerical methods and the efficient use of computational resources. High Reynolds number, transient, turbulent flows with free surfaces must be modeled in complex 3D geometries. One or two equation turbulence models with wall functions are used. The position of the flow front in the

产生

拱形面包

Numerical Computation of Sensitivities and the Adjoint Approach,n the adjoint problem in its weak form. We show how one can avoid some of the problems with the adjoint approach, such as deriving suitable boundary conditions for the adjoint equation. We discuss the convergence of numerical approximations of the costate computed via the weak form of the adjoint pr