Active Manifold and Model Order Reduction to Accelerate Multidisciplinary Analysis and Optimization - presented by Prof. Charbel Farhat

Active Manifold and Model Order Reduction to Accelerate Multidisciplinary Analysis and Optimization

Prof. Charbel Farhat

Prof. Charbel Farhat
Slide at 51:27
Charbel
MDAO Problem Formulated with a Single Objective Function
Auxiliary (training) MDAO problem can be original MDAO problem without some of the
computationally intensive PDE-based constraints - e.g. without RNL (z; u)
collect the snashots =
and learn the active manifold DAM
where Nur<<Nu
R" is a nonlinear function to be determined
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Summary (AI generated)

The solution is obtained by collecting snapshots of the increments. In gradient-based procedures, there is currently no equivalent for cases like ego where gradient-based optimization is not used, but efforts are being made to develop one. By analyzing snapshots of parameter corrections during iterative design, the green region can be identified by fitting it into a nonlinear approximation based on discovered features, as shown in the next slide. When dealing with multiple objective functions and solving a multiobjective MDAO problem using an ε constraint method, one instance from the Pareto front can be selected as a sacrificial lamb.