Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Simulation of complex dynamics using POD 'on the fly' and residual estimates
Year:2015
Research Areas
  • Aeronautical engineering
Information
Abstract
Proper orthogonal decomposition (POD) is a very e ective means to identify dynamical information contained in sets of snapshots that cover numerically computed trajectories of dissipative systems of partial di erential equations. Such information is organized in a hierarchy of POD modes and the system can be Galerkin-projected onto the associated linear subspace. Quite frequently, the outcome is a low dimensional model of the problem. Flexibility and e?ciency of the approximation can be enhanced if POD is applied `on the y', adaptively combining a standard numerical solver (which provides the necessary snapshots) with the reduced system in interspersed intervals, as both time and a bifurcation parameter are varied. Residual estimates are introduced to make this adaptation accurate and robust, preventing possible mode truncation instabilities in the presence of complex dynamics. All ideas are illustrated in some bifurcation scenarios including quasi-periodic and chaotic attractors, which highlights a good computational e?ciency.
International
Si
JCR
Si
Title
Dynamical systems, differential equations, and applications
ISBN
00000000
Impact factor JCR
Impact info
Volume
10.3934/proc.2015.1060
Journal number
From page
1060
To page
1069
Month
SIN MES
Ranking
Participants
  • Autor: Filippo Terragni (Universidad Carlos III de Madrid)
  • Autor: Jose Manuel Vega De Prada (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Dinámica y estabilidad no lineal en ingeniería aeroespacial
  • Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
S2i 2020 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)