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Memorias de investigación
Capítulo de libro:
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 The main question is when extrapolation from HODMD is no longer valid and switching to a new FM-interval is necessary.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
DOI
10.1007/978-3-030-20055-8 _ 54
Edición del Libro
Editorial del Libro
ISBN
978-3-030-20054-1
Serie
Advances in Intelligent Systems and Computing
Título del Libro
14th International Conference on soft Computing Models in Industrial and Environmental Applications (SOCO 2019)
Desde página
567
Hasta página
576
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: Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
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