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

Bache, E. and Vega de Prada, José Manuel and 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.

Description

Title: Model reduction in the back step fluid–thermal problem with variable geometry
Author/s:
  • Bache, E.
  • Vega de Prada, José Manuel
  • Velázquez, A.
Item Type: Article
Título de Revista/Publicación: International Journal of Thermal Sciences December
Date: December 2010
ISSN: 1290-0729
Volume: 49
Subjects:
Freetext Keywords: Proper orthogonal decomposition; Reduced-order model; Variable geometry
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (845kB) | Preview

Abstract

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.

More information

Item ID: 6112
DC Identifier: http://oa.upm.es/6112/
OAI Identifier: oai:oa.upm.es:6112
DOI: 10.1016/j.ijthermalsci.2010.07.013
Official URL: http://www.elsevier.com/locate/ijts
Deposited by: Memoria de Investigacion 2
Deposited on: 21 Feb 2011 12:07
Last Modified: 20 Apr 2016 14:44
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM