Model reduction in the back step fluid–thermal problem with variable geometry

Bache, E.; Vega de Prada, José Manuel y Velázquez, A. (2010). Model reduction in the back step fluid–thermal problem with variable geometry. "International Journal of Thermal Sciences December", v. 49 (n. 12); pp. 2376-2384. ISSN 1290-0729. https://doi.org/10.1016/j.ijthermalsci.2010.07.013.

Descripción

Título: Model reduction in the back step fluid–thermal problem with variable geometry
Autor/es:
  • Bache, E.
  • Vega de Prada, José Manuel
  • Velázquez, A.
Tipo de Documento: Artículo
Título de Revista/Publicación: International Journal of Thermal Sciences December
Fecha: Diciembre 2010
Volumen: 49
Materias:
Palabras Clave Informales: Proper orthogonal decomposition; Reduced-order model; Variable geometry
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

A methodology is presented to undertake the development of reduced-order models (ROMs) in variable geometry fluid–thermal problems using the method of snapshots. First, some snapshots are calculated in computational domains that vary in both shape and number of grid points. These snapshots are projected onto a so-called virtual grid (defined in a virtual geometry) using a smooth transformation. Proper orthogonal decomposition (POD) modes are obtained from the associated virtual snapshots and projected back onto the original grids, where they are used to define expansions of the flow variables. The associated POD mode amplitudes are obtained minimizing a residual, which is calculated in terms of the reconstructed solution. POD modes are calculated using only a part of the computational domain, which will be called the projection window, and the residual is defined using only a limited number of points of the computational domain. This methodology is illustrated addressing the problem of heat transfer downstream of a backward facing step in the 2-D steady, laminar regime, with three free parameters, namely the Reynolds number, the wall temperature, and the step height.

Más información

ID de Registro: 6112
Identificador DC: http://oa.upm.es/6112/
Identificador OAI: oai:oa.upm.es:6112
Identificador DOI: 10.1016/j.ijthermalsci.2010.07.013
URL Oficial: http://www.elsevier.com/locate/ijts
Depositado por: Memoria de Investigacion 2
Depositado el: 21 Feb 2011 12:07
Ultima Modificación: 20 Abr 2016 14:44
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