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dc.contributor.author
Cosimo, Alejandro
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dc.contributor.author
Cardona, Alberto
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dc.contributor.author
Idelsohn, Sergio Rodolfo
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dc.date.available
2019-06-21T01:01:43Z
dc.date.issued
2014-06
dc.identifier.citation
Cosimo, Alejandro; Cardona, Alberto; Idelsohn, Sergio Rodolfo; Improving the k-Compressibility of Hyper Reduced Order Models with Moving Sources: Applications to Welding and Phase Change Problems; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 274; 6-2014; 237-263
dc.identifier.issn
0045-7825
dc.identifier.uri
http://hdl.handle.net/11336/78605
dc.description.abstract
The simulation of engineering problems is quite often a complex task that can be time consuming. In this context, the use of Hyper Reduced Order Models (HROMs) is a promising alternative for real-time simulations. In this work, we study the design of HROMs for non-linear problems with a moving source. Applications to nonlinear phase change problems with temperature dependent thermophysical properties are particularly considered; however, the techniques developed can be applied in other fields as well.A basic assumption in the design of HROMs is that the quantities that will be hyper-reduced are k compressible in a certain basis in the sense that these quantities have at most k non-zero significant entries when expressed in terms of that basis. To reach the computational speed required for a real-time application, k must be small. This work examines different strategies for addressing hyper-reduction of the nonlinear terms with the objective of obtaining k compressible signals with a notably small k. To improve performance and robustness, it is proposed that the different contributing terms to the residual are separately hyper-reduced. Additionally, the use of moving reference frames is proposed to simulate and hyper-reduce cases that contain moving heat sources. Two application examples are presented: the solidification of a cube in which no heat source is present and the welding of a tube in which the problem posed by a moving heat source is analysed.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science Sa
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hyper Reduction
dc.subject
Moving Sources
dc.subject
Phase Change
dc.subject
Proper Orthogonal Decomposition
dc.subject
Reduced Order Models
dc.subject
Welding
dc.subject.classification
Ingeniería Mecánica
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dc.subject.classification
Ingeniería Mecánica
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
Improving the k-Compressibility of Hyper Reduced Order Models with Moving Sources: Applications to Welding and Phase Change Problems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-06-19T16:52:41Z
dc.journal.volume
274
dc.journal.pagination
237-263
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Cosimo, Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
dc.description.fil
Fil: Cardona, Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
dc.description.fil
Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina. Centro Int. de Metodos Numericos En Ingenierıa (cimne); España
dc.journal.title
Computer Methods in Applied Mechanics and Engineering
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2014.02.011
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