Observatorio de I+D+i UPM

Memorias de investigación
Communications at congresses:
Efficient low dimensional modelling based on POD and residual estimates
Year:2015
Research Areas
  • Aeronautical engineering
Information
Abstract
An adaptive low dimensional model is considered to simulate time dependent dynamics in nonlinear dissipative systems governed by partial differential equations. The method combines ?on the fly? a standard numerical solver and a much more computationally inexpensive Galerkin system. The latter is constructed by projecting the governing equations onto adapting sets of POD modes, resulting from snapshots computed by the numerical solver. The strategy is based on a truncation error estimate and a residual estimate, designed to control the truncation error and the mode truncation instability, respectively. These estimates support the selection of the appropriate time intervals in which the numerical solver is run to first construct and then update, on demand, the POD modes. Furthermore, in order to reduce the computational effort needed at the outset to generate the initial POD subspace, some mode libraries are taken into account. Such libraries may either be generic (e.g., constructed from orthogonal polynomials) or result from different, former simulations.
International
Si
Congress
Workshop on numerical techniques for computation speedup
960
Place
Biarritz, Francia
Reviewers
Si
ISBN/ISSN
00000000
Start Date
02/02/2015
End Date
04/02/2015
From page
1
To page
1
Actas del workshop on numerical techniques for computation speedup
Participants
  • Autor: Maria Luisa Rapun Banzo (UPM)
  • 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)