An error estimator for real-time simulators based on model order reduction

Alfaro, Icíar (Universidad de Zaragoza) ; González, David (Universidad de Zaragoza) ; Zlotnik, Sergio ; Díez, Pedro ; Cueto, Elías (Universidad de Zaragoza) ; Chinesta, Francisco

Resumen: Model order reduction is one of the most appealing choices for real-time simulation of non-linear solids. In this work a method is presented in which real time performance is achieved by means of the off-line solution of a (high dimensional) parametric problem that provides a sort of response surface or computational vademecum. This solution is then evaluated in real-time at feedback rates compatible with haptic devices, for instance (i.e., more than 1 kHz). This high dimensional problem can be solved without the limitations imposed by the curse of dimensionality by employing proper generalized decomposition (PGD) methods. Essentially, PGD assumes a separated representation for the essential field of the problem. Here, an error estimator is proposed for this type of solutions that takes into account the non-linear character of the studied problems. This error estimator allows to compute the necessary number of modes employed to obtain an approximation to the solution within a prescribed error tolerance in a given quantity of interest.

Idioma: Inglés

DOI: 10.1186/s40323-015-0050-8

Año: 2015

Publicado en: Advanced modeling and simulation in engineering sciences 2, 30 (2015), [16 pp.]
ISSN: 2213-7467

Factor impacto SCIMAGO: 0.0 - Applied Mathematics - Modeling and Simulation - Engineering (miscellaneous) - Computer Science Applications

Financiación: info:eu-repo/grantAgreement/ES/MINECO/DPI2014-51844-C2-1-2-R

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)