detalle del documento
IDENTIFICACIÓN
oai:arXiv.org:2407.02433
Tema
Mathematics - Numerical AnalysisAutor
Kabalan, Abbas Casenave, Fabien Bordeu, Felipe Ehrlacher, Virginie Ern, AlexandreCategoría
Computer Science
Año
2024
fecha de cotización
2/10/2024
Palabras clave
shapesResumen
The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology.
The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear elasticity equations, onto every target shape.
In particular, our approach does not assume any knowledge of a boundary parametrization.
Furthermore, we demonstrate how constraints can be imposed on specific points, lines and surfaces in the reference domain to ensure alignment with their counterparts in the target domain after morphing.
Additionally, we show how the proposed methodology can be integrated in an offline and online paradigm, which is useful in reduced-order modeling involving variable shapes.
This framework facilitates the efficient computation of the morphings in various geometric configurations, thus improving the versatility and applicability of the approach.
The methodology is illustrated on the regression problem of the drag and lift coefficients of airfoils of non-parameterized variable shapes.
Kabalan, Abbas,Casenave, Fabien,Bordeu, Felipe,Ehrlacher, Virginie,Ern, Alexandre, 2024, Elasticity-based mesh morphing technique with application to reduced-order modeling
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