Observatorio de I+D+i UPM

Memorias de investigación
Ponencias en congresos:
A Data-Driven ROM Based on HODMD
Año:2019
Áreas de investigación
  • Matemáticas,
  • Matemática discreta y computación,
  • Análisis numérico en sistemas dinámicos,
  • Aceleración de la convergencia,
  • Base de datos
Datos
Descripción
A preliminary version of a data driven reduced order model (ROM) for dynamical systems is presented in this Chapter. This ROM synergically and adaptively combines a black-box full model (FM) of the system and extrapolate conveniently using a recent extension of standard dynamic mode decomposition called higher order dynamic mode decom- position (HODMD). These two are applied in interspersed time inter- vals, called the FM-intervals and the HODMD-intervals, respectively. The data for the each HODMD-interval is obtained from the applica- tion of the FM in the previous FM-interval. The main question is when extrapolation from HODMD is no longer valid and switching to a new FM-interval is necessary. This is made attending to two criteria, ensuring that an estimate of the extrapolation error and a measure of consistency are both conveniently small. In this sense, the present method is similar to a previous method called POD on the Fly, which was not a purely data driven method. Instead, POD on the Fly was based on a Galerkin projection of the governing equations that thus should be known. The new method presented in this paper is illustrated with several transient dynamics for the complex Ginzburg-Landau equation that converges to either periodic or quasi-periodic attractors. The resulting CPU acceler- ations factors (compared to the full model) are quite large.
Internacional
Si
Nombre congreso
14th International Conference on Soft Computing Models in Industrial and Environmental Applications (SOCO 2019)
Tipo de participación
960
Lugar del congreso
Sevilla
Revisores
Si
ISBN o ISSN
978-3-030-20054-1
DOI
10.1007/978-3-030-20055-8 _ 54
Fecha inicio congreso
13/05/2019
Fecha fin congreso
15/05/2019
Desde la página
567
Hasta la página
576
Título de las actas
Advances in Intelligent Systems and Computing
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Victor Beltran Martinez (UPM)
  • Autor: Soledad Le Clainche Martinez (UPM)
  • Autor: Jose Manuel Vega De Prada (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
S2i 2022 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)