Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Abstract We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one of the simulation of the hydrodynamic flow past the hull of a ship advancing in cal...

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Main Authors: Marco Tezzele, Filippo Salmoiraghi, Andrea Mola, Gianluigi Rozza
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Advanced Modeling and Simulation in Engineering Sciences
Subjects:
BEM
Online Access:http://link.springer.com/article/10.1186/s40323-018-0118-3
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spelling doaj-5cc3f2e17ad24be89c304cd5b65690222020-11-25T01:38:31ZengSpringerOpenAdvanced Modeling and Simulation in Engineering Sciences2213-74672018-09-015111910.1186/s40323-018-0118-3Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problemsMarco Tezzele0Filippo Salmoiraghi1Andrea Mola2Gianluigi Rozza3Mathematics Area, mathLab, SISSA, International School of Advanced StudiesMathematics Area, mathLab, SISSA, International School of Advanced StudiesMathematics Area, mathLab, SISSA, International School of Advanced StudiesMathematics Area, mathLab, SISSA, International School of Advanced StudiesAbstract We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one of the simulation of the hydrodynamic flow past the hull of a ship advancing in calm water. Such problem is extremely relevant at the preliminary stages of the ship design, when several flow simulations are typically carried out by the engineers to assess the dependence of the hull total resistance on the geometrical parameters of the hull, and others related with flows and hull properties. Given the high number of geometric and physical parameters which might affect the total ship drag, the main idea of this work is to employ the active subspaces properties to identify possible lower dimensional structures in the parameter space. Thus, a fully automated procedure has been implemented to produce several small shape perturbations of an original hull CAD geometry, in order to exploit the resulting shapes and to run high fidelity flow simulations with different structural and physical parameters as well, and then collect data for the active subspaces analysis. The free form deformation procedure used to morph the hull shapes, the high fidelity solver based on potential flow theory with fully nonlinear free surface treatment, and the active subspaces analysis tool employed in this work have all been developed and integrated within SISSA mathLab as open source tools. The contribution will also discuss several details of the implementation of such tools, as well as the results of their application to the selected target engineering problem.http://link.springer.com/article/10.1186/s40323-018-0118-3Parametric studiesReduction in parameter spaceFree form deformationActive subspacesBEMResponse surface method
collection DOAJ
language English
format Article
sources DOAJ
author Marco Tezzele
Filippo Salmoiraghi
Andrea Mola
Gianluigi Rozza
spellingShingle Marco Tezzele
Filippo Salmoiraghi
Andrea Mola
Gianluigi Rozza
Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
Advanced Modeling and Simulation in Engineering Sciences
Parametric studies
Reduction in parameter space
Free form deformation
Active subspaces
BEM
Response surface method
author_facet Marco Tezzele
Filippo Salmoiraghi
Andrea Mola
Gianluigi Rozza
author_sort Marco Tezzele
title Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
title_short Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
title_full Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
title_fullStr Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
title_full_unstemmed Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
title_sort dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
publisher SpringerOpen
series Advanced Modeling and Simulation in Engineering Sciences
issn 2213-7467
publishDate 2018-09-01
description Abstract We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one of the simulation of the hydrodynamic flow past the hull of a ship advancing in calm water. Such problem is extremely relevant at the preliminary stages of the ship design, when several flow simulations are typically carried out by the engineers to assess the dependence of the hull total resistance on the geometrical parameters of the hull, and others related with flows and hull properties. Given the high number of geometric and physical parameters which might affect the total ship drag, the main idea of this work is to employ the active subspaces properties to identify possible lower dimensional structures in the parameter space. Thus, a fully automated procedure has been implemented to produce several small shape perturbations of an original hull CAD geometry, in order to exploit the resulting shapes and to run high fidelity flow simulations with different structural and physical parameters as well, and then collect data for the active subspaces analysis. The free form deformation procedure used to morph the hull shapes, the high fidelity solver based on potential flow theory with fully nonlinear free surface treatment, and the active subspaces analysis tool employed in this work have all been developed and integrated within SISSA mathLab as open source tools. The contribution will also discuss several details of the implementation of such tools, as well as the results of their application to the selected target engineering problem.
topic Parametric studies
Reduction in parameter space
Free form deformation
Active subspaces
BEM
Response surface method
url http://link.springer.com/article/10.1186/s40323-018-0118-3
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AT filipposalmoiraghi dimensionreductioninheterogeneousparametricspaceswithapplicationtonavalengineeringshapedesignproblems
AT andreamola dimensionreductioninheterogeneousparametricspaceswithapplicationtonavalengineeringshapedesignproblems
AT gianluigirozza dimensionreductioninheterogeneousparametricspaceswithapplicationtonavalengineeringshapedesignproblems
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