Reduced-order modeling: a personal journey

Reduced-order models (ROM) have captured the interest and effort of many investigators over the years. As is well known the cost of computation can easily outpace the available computational resources, especially for multidisciplinary mathematical/computational models. In the present paper a persona...

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Published inNonlinear dynamics Vol. 111; no. 11; pp. 9699 - 9720
Main Author Dowell, Earl
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2023
Springer Nature B.V
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Abstract Reduced-order models (ROM) have captured the interest and effort of many investigators over the years. As is well known the cost of computation can easily outpace the available computational resources, especially for multidisciplinary mathematical/computational models. In the present paper a personal account of one investigator's journey is provided as enabled by substantial contributions from colleagues in several organizations over the years. This is not a review of the literature or a history of the subject; it is intended to be an account of key ideas as seen from a single perspective. By a reduced-order model is meant a model that provides a substantial reduction in the size and cost of the original computational model without any essential loss in accuracy. And the motivation for creating such a ROM is not only to reduce computational cost. By extracting the essential elements of a more elaborate model, a much wider range of parameters in the model may be studied and the interpretation of the results may be made easier, thereby advancing our understanding of the model and the physical phenomena it is intended to describe.
AbstractList Reduced-order models (ROM) have captured the interest and effort of many investigators over the years. As is well known the cost of computation can easily outpace the available computational resources, especially for multidisciplinary mathematical/computational models. In the present paper a personal account of one investigator's journey is provided as enabled by substantial contributions from colleagues in several organizations over the years. This is not a review of the literature or a history of the subject; it is intended to be an account of key ideas as seen from a single perspective. By a reduced-order model is meant a model that provides a substantial reduction in the size and cost of the original computational model without any essential loss in accuracy. And the motivation for creating such a ROM is not only to reduce computational cost. By extracting the essential elements of a more elaborate model, a much wider range of parameters in the model may be studied and the interpretation of the results may be made easier, thereby advancing our understanding of the model and the physical phenomena it is intended to describe.
Reduced-order models (ROM) have captured the interest and effort of many investigators over the years. As is well known the cost of computation can easily outpace the available computational resources, especially for multidisciplinary mathematical/computational models. In the present paper a personal account of one investigator's journey is provided as enabled by substantial contributions from colleagues in several organizations over the years. This is not a review of the literature or a history of the subject; it is intended to be an account of key ideas as seen from a single perspective. By a reduced-order model is meant a model that provides a substantial reduction in the size and cost of the original computational model without any essential loss in accuracy. And the motivation for creating such a ROM is not only to reduce computational cost. By extracting the essential elements of a more elaborate model, a much wider range of parameters in the model may be studied and the interpretation of the results may be made easier, thereby advancing our understanding of the model and the physical phenomena it is intended to describe.
Author Dowell, Earl
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Snippet Reduced-order models (ROM) have captured the interest and effort of many investigators over the years. As is well known the cost of computation can easily...
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SubjectTerms Accuracy
Automotive Engineering
Classical Mechanics
Computing costs
Control
Dynamical Systems
Engineering
Feature Article
Finite volume method
Literature reviews
Mechanical Engineering
Ordinary differential equations
Partial differential equations
Quantum physics
Reduced order models
Reynolds number
Vibration
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Title Reduced-order modeling: a personal journey
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