Gaussian process approach within a data-driven POD framework for fluid dynamics engineering problems

Fuente: arXiv
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Hauptverfasser: Ortali, Giulio, Demo, Nicola, Rozza, Gianluigi
Format: Preprint
Veröffentlicht: 2020
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author Ortali, Giulio
Demo, Nicola
Rozza, Gianluigi
author_facet Ortali, Giulio
Demo, Nicola
Rozza, Gianluigi
contents This work describes the implementation of a data-driven approach for the reduction of the complexity of parametrical partial differential equations (PDEs) employing Proper Orthogonal Decomposition (POD) and Gaussian Process Regression (GPR). This approach is applied initially to a literature case, the simulation of the stokes problems, and in the following to a real-world industrial problem, inside a shape optimization pipeline for a naval engineering problem.
format Preprint
id arxiv_https___arxiv_org_abs_2012_01989
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Gaussian process approach within a data-driven POD framework for fluid dynamics engineering problems
Ortali, Giulio
Demo, Nicola
Rozza, Gianluigi
Numerical Analysis
This work describes the implementation of a data-driven approach for the reduction of the complexity of parametrical partial differential equations (PDEs) employing Proper Orthogonal Decomposition (POD) and Gaussian Process Regression (GPR). This approach is applied initially to a literature case, the simulation of the stokes problems, and in the following to a real-world industrial problem, inside a shape optimization pipeline for a naval engineering problem.
title Gaussian process approach within a data-driven POD framework for fluid dynamics engineering problems
topic Numerical Analysis
url https://arxiv.org/abs/2012.01989