1.

Record Nr.

UNINA9910841866103321

Autore

Ryckelynck David

Titolo

Manifold Learning : Model Reduction in Engineering / / by David Ryckelynck, Fabien Casenave, Nissrine Akkari

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

3-031-52764-X

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (114 pages)

Collana

SpringerBriefs in Computer Science, , 2191-5776

Altri autori (Persone)

CasenaveFabien

AkkariNissrine

Disciplina

006.31

Soggetti

Machine learning

Stochastic models

Thermodynamics

Heat engineering

Heat - Transmission

Mass transfer

Industrial engineering

Production engineering

Mathematical physics

Machine Learning

Statistical Learning

Stochastic Modelling

Engineering Thermodynamics, Heat and Mass Transfer

Industrial and Production Engineering

Mathematical Methods in Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Structured Data and Knowledge in Model-based Engineering -- Learning Projection-based Reduced-order Models -- Error Estimation -- Resources: Software and Tutorials -- Industrial Application: Uncertainty Quantification in Lifetime Prediction of Turbine Blades -- Applications and Extensions: A Survey of Literature.

Sommario/riassunto

This Open Access book reviews recent theoretical and numerical



developments in nonlinear model order reduction in continuum mechanics, being addressed to Master and PhD students, as well as to researchers, lecturers and instructors. The aim of the authors is to provide tools for a better understanding and implement reduced order models by using: physics-based models, synthetic data forecast by these models, experimental data and deep learning algorithms. The book involves a survey of key methods of model order reduction applied to model-based engineering and digital twining, by learning linear or nonlinear latent spaces. Projection-based reduced order models are the projection of mechanical equations on a latent space that have been learnt from both synthetic data and experimental data. Various descriptions and representations of structured data for model reduction are presented in the applications and survey chapters. Image-based digital twins are developed in a reduced setting. Reduced order models of as-manufactured components predict the mechanical effects of shape variations. A similar workflow is extended to multiphysics or coupled problems, with high dimensional input fields. Practical techniques are proposed for data augmentation and also for hyper-reduction, which is a key point to speed up projection-based model order reduction of finite element models. The book gives access to python libraries available on gitlab.com, which have been developed as part of the research program [FUI-25] MORDICUS funded by the French government. Similarly to deep learning for computer vision, deep learning for model order reduction circumvents the need to design parametric problems prior reducing models. Such an approach is highly relevant for image-base modelling or multiphysics modelling.