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Outline. Introduction and MotivationOptimisationAdjoint MethodsFuture plans. Design Search and Optimisation (DSO). Describes the use of formal optimisation techniques in design. Motivation. Optimisation of any given quantity of interest
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1. Towards Global Optimisation in CFD through the use of Adjoint Methods Natalie Foxley
June 2006
2. Outline Introduction and Motivation
Optimisation
Adjoint Methods
Future plans
3. Design Search and Optimisation (DSO) Describes the use of formal optimisation techniques in design
4. Motivation Optimisation of any given quantity of interest…
- Lift on an aircraft
- Drag on a wing
But a large and complex geometry will be expensive to model in a simulation
There has to be a cheaper way…
5. Optimisation Aim to minimise (or maximise) an objective function I =I (w,F )
F contains n design parameters
w represents the state of the dynamic system, restricted by governing equations
Residual R =R (w,F )
R = 0 iff equations fulfilled
6. Local Optimisation 2D illustration Area of interest only has one local minimum