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 19:09
Charbel
Surrogate Modeling
Multifidelity surrogate modeling
PROMs for Qol exploration and spatio-temporal field variables response surface models (RSMs), ANNs, and the likes for pre-determined scalar
Qols
Behavior functions for a hypersonic MDAO
problem
objective function: minimize time-to- land-at-a-point
RSM/ANN
Pull Up
Increasing YENTRY
YENTRY = 5°
Maneuver
Constant Dynamic
constraint C1 : laminar flow (skin
Pressure Glide
friction coefficient)
PROM
= 20 kPa
constraint C2: upper temperature limit
YENTRY = 20°
on the back face of the thermal
Initial
protection system (TPS)
PROM
Dive
Terminal
C5 C6 C7
Dive
constraint C7: geometric and box
1000
1500
2000
Distance [km]
constraints
PROM/RSM/ANN
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Summary (AI generated)

Constraint C7 pertains to geometric and box constraints, making any surrogate model suitable for the task. The challenge lies in integrating various technologies to work together, with a focus on training. Training a surrogate model is costly due to the curse of dimensionality, regardless of the approach taken. This curse refers to the dimensionality of the parameter domain, not the model itself. Regression-based approaches offer some advantage in execution, while Proper Orthogonal Decomposition (PR) models excel in accuracy with comparable training data. The primary concern addressed in this presentation is the curse of dimensionality during training. Reduced Order Models are proposed as a technique to mitigate this challenge.