Treffer: Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations : rigorous reduced-basis a posteriori error bounds

Title:
Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations : rigorous reduced-basis a posteriori error bounds
Authors:
VEROY, K, PATERA, A. T
Source:
8th ICFD Conference on Numerical Methods for Fluid Dynamics: Part 1International journal for numerical methods in fluids. 47(8-9):773-788
Publisher Information:
Chichester: Wiley, 2005.
Publication Year:
2005
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Convection naturelle, Natural convection, Convergence numérique, Numerical convergence, Convergencia numérica, Equation Navier Stokes, Navier-Stokes equations, Equation dérivée partielle, Partial differential equations, Estimation a posteriori, A posteriori estimation, Estimación a posteriori, Estimation erreur, Error estimation, Estimación error, Fluide incompressible, Incompressible fluid, Fluido incompresible, Mécanique fluide numérique, Computational fluid dynamics, Simulation numérique, Digital simulation, Transfert chaleur, Heat transfer, a posteriori error estimation, incompressible Navier-Stokes, natural convection, offline-online procedures, output bounds, parametrized partial differential equations, reduced-basis
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Department of Mechanical Eughicering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Room 3-266, Cambridge, MA 02139, United States
ISSN:
0271-2091
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16671773
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics: fluid mechanics
Accession Number:
edscal.16671773
Database:
PASCAL Archive

Weitere Informationen

We present a technique for the evaluation of linear-functional outputs of parametrized elliptic partial differential equations in the context of deployed (in service) systems. Deployed systems require real-time and certified output prediction in support of immediate and safe (feasible) action. The two essential components of our approach are (i) rapidly, uniformly convergent reduced-basis approximations, and (ii) associated rigorous and sharp a posteriori error bounds; in both components we exploit affine parametric structure and oflline-online computational decompositions to provide real-time deployed response. In this paper we extend our methodology to the parametrized steady incompressible Navier-Stokes equations. We invoke the Brezzi-Rappaz-Raviart theory for analysis of variational approximations of non-linear partial differential equations to construct rigorous, quantitative, sharp, inexpensive a posteriori error estimators.