Reduced order adaptive models for systems of PDEs using POD

Terragni, Filippo; Rapun Banzo, Maria Luisa y Vega de Prada, José Manuel (2011). Reduced order adaptive models for systems of PDEs using POD. En: "Interdisciplinary Meeting on Mathematical Aspects of Fluid Problems", 01/04/2011 - 01/04/2011, Sevilla, España.

Descripción

Título: Reduced order adaptive models for systems of PDEs using POD
Autor/es:
  • Terragni, Filippo
  • Rapun Banzo, Maria Luisa
  • Vega de Prada, José Manuel
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: Interdisciplinary Meeting on Mathematical Aspects of Fluid Problems
Fechas del Evento: 01/04/2011 - 01/04/2011
Lugar del Evento: Sevilla, España
Título del Libro: Proceedings of Interdisciplinary Meeting on Mathematical Aspects of Fluid Problems
Fecha: 2011
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In this work we propose a method to accelerate time dependent numerical solvers of systems of PDEs that require a high cost in computational time and memory. The method is based on the combined use of such numerical solver with a proper orthogonal decomposition, from which we identify modes, a Galerkin projection (that provides a reduced system of equations) and the integration of the reduced system, studying the evolution of the modal amplitudes. We integrate the reduced model until our a priori error estimator indicates that our approximation in not accurate. At this point we use again our original numerical code in a short time interval to adapt the POD manifold and continue then with the integration of the reduced model. Application will be made to two model problems: the Ginzburg-Landau equation in transient chaos conditions and the two-dimensional pulsating cavity problem, which describes the motion of liquid in a box whose upper wall is moving back and forth in a quasi-periodic fashion. Finally, we will discuss a way of improving the performance of the method using experimental data or information from numerical simulations

Más información

ID de Registro: 12975
Identificador DC: http://oa.upm.es/12975/
Identificador OAI: oai:oa.upm.es:12975
URL Oficial: http://www.imus.us.es/ACT/mafp2011/
Depositado por: Memoria Investigacion
Depositado el: 12 Dic 2012 15:01
Ultima Modificación: 21 Abr 2016 12:16
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