NDLI: Design space dimensionality reduction through physics-based geometry re-parameterization

Content Provider	Springer Nature Link
Author	Sóbester, András Powell, Stephen
Copyright Year	2012
Abstract	The effective control of the extent of the design space is the sine qua non of successful geometry-based optimization. Generous bounds run the risk of including physically and/or geometrically nonsensical regions, where much search time may be wasted, while excessively strict bounds will often exclude potentially promising regions. A related ogre is the pernicious increase in the number of design variables, driven by a desire for geometry flexibility—this can, once again, make design search a prohibitively time-consuming exercise. Here we discuss an instance-based alternative, where the design space is defined in terms of a set of representative bases (design instances), which are then transformed, via a concise, parametric mapping into a new, generic geometry. We demonstrate this approach via the specific example of the design of supercritical wing sections. We construct the mapping on the generic template of the Kulfan class-shape function transformation and we show how patterns in the coefficients of this transformation can be exploited to capture, within the parametric mapping, some of the physics of the design problem.
Starting Page	37
Ending Page	59
Page Count	23
File Format	PDF
ISSN	13894420
Journal	Optimization and Engineering
Volume Number	14
Issue Number	1
e-ISSN	15732924
Language	English
Publisher	Springer US
Publisher Date	2012-02-08
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geometry modeling Shape description Design optimization Parametric geometry Surrogate modeling Kriging Optimization Engineering Systems Theory, Control Environmental Management Agriculture Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Software Civil and Structural Engineering Control and Optimization Mechanical Engineering Aerospace Engineering Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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