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Developing metamodels for fast and accurate prediction of the draping of physical surfaces

Developing metamodels for fast and accurate prediction of the draping of physical surfaces
Developing metamodels for fast and accurate prediction of the draping of physical surfaces

In this paper, the use of methods from the meta- or surrogate modeling literature, for building models predicting the draping of physical surfaces, is examined. An example application concerning modeling of the behavior of a variable shape mold is treated. Four different methods are considered for this problem. The proposed methods are difference methods assembled from the methods kriging and proper orthogonal decomposition (POD) together with a spline-based underlying model (UM) and a novel patchwise modeling scheme. The four models, namely kriging and POD with kriging of the coefficients in global and local variants, are compared in terms of accuracy and numerical efficiency on data sets of different sizes for the treated application. It is shown that the POD-based methods are vastly superior to models based on kriging alone, and that the use of a difference model structure is advantageous. It is demonstrated that patchwise modeling schemes, where the complete surface behavior is modeled by a collection of locally defined smaller models, can provide a good compromise between achieving good model accuracy and scalability of the models to large systems.

kriging, Latin hypercube sampling, proper orthogonal decomposition, surrogate modeling, variable shape mold
1530-9827
1-12
Christensen, Esben Toke
6cd858bb-d028-43f9-9f77-3dd78c8befd0
Forrester, Alexander I.J.
176bf191-3fc2-46b4-80e0-9d9a0cd7a572
Lund, Erik
cb208639-0639-44db-8145-29626b3e5fd9
Lindgaard, Esben
f8232264-9f5e-4be3-bcb1-8c07f336125b
Christensen, Esben Toke
6cd858bb-d028-43f9-9f77-3dd78c8befd0
Forrester, Alexander I.J.
176bf191-3fc2-46b4-80e0-9d9a0cd7a572
Lund, Erik
cb208639-0639-44db-8145-29626b3e5fd9
Lindgaard, Esben
f8232264-9f5e-4be3-bcb1-8c07f336125b

Christensen, Esben Toke, Forrester, Alexander I.J., Lund, Erik and Lindgaard, Esben (2018) Developing metamodels for fast and accurate prediction of the draping of physical surfaces. Journal of Computing and Information Science in Engineering, 18 (2), 1-12, [021003]. (doi:10.1115/1.4039334).

Record type: Article

Abstract

In this paper, the use of methods from the meta- or surrogate modeling literature, for building models predicting the draping of physical surfaces, is examined. An example application concerning modeling of the behavior of a variable shape mold is treated. Four different methods are considered for this problem. The proposed methods are difference methods assembled from the methods kriging and proper orthogonal decomposition (POD) together with a spline-based underlying model (UM) and a novel patchwise modeling scheme. The four models, namely kriging and POD with kriging of the coefficients in global and local variants, are compared in terms of accuracy and numerical efficiency on data sets of different sizes for the treated application. It is shown that the POD-based methods are vastly superior to models based on kriging alone, and that the use of a difference model structure is advantageous. It is demonstrated that patchwise modeling schemes, where the complete surface behavior is modeled by a collection of locally defined smaller models, can provide a good compromise between achieving good model accuracy and scalability of the models to large systems.

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More information

e-pub ahead of print date: 15 March 2018
Published date: 1 June 2018
Keywords: kriging, Latin hypercube sampling, proper orthogonal decomposition, surrogate modeling, variable shape mold

Identifiers

Local EPrints ID: 421598
URI: http://eprints.soton.ac.uk/id/eprint/421598
ISSN: 1530-9827
PURE UUID: df46278c-09e0-4735-bf28-0e0566291928

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Date deposited: 15 Jun 2018 16:30
Last modified: 13 Mar 2019 18:41

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Contributors

Author: Esben Toke Christensen
Author: Erik Lund
Author: Esben Lindgaard

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