• Adjoint lattice Boltzmann equa...

Treffer: Adjoint lattice Boltzmann equation for parameter identification

Title:
Adjoint lattice Boltzmann equation for parameter identification
Authors:
TEKITEK, M. M, BOUZIDI, M, DUBOIS, F, LALLEMAND, P
Source:
Proceedings of the First International Conference for Mesoscopic Methods in Engineering and Science (ICMMES), Braunschweig, Germany, July 25-30, 2004Computers & fluids. 35(8-9):805-813
Publisher Information:
Oxford: Elsevier Science, 2006.
Publication Year:
2006
Physical Description:
print, 12 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, Ecoulement Poiseuille, Poiseuille flow, Equation Boltzmann, Boltzmann equation, Modèle réticulaire, Lattice model, Modelo reticular, Mécanique fluide numérique, Computational fluid dynamics, Méthode adjoint, Adjoint method, Método adjunto, Simulation numérique, Digital simulation, Système mésoscopique, Mesoscopic systems
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Laboratoire de Mathématiques, Université Paris Sud, Bat. 425, 91405 Orsay, France
Université Clermont Ferrand 2, I.U.T., Ave. A. Briand, 03107 Montluçon, France
CNAM, 292, rue Saint-Martin, 75141 Paris, France
Laboratoire ASCI, Université Paris Sud, Bâtiment 506, 91405 Orsay, France
ISSN:
0045-7930
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=17868474
Rights:
Copyright 2006 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.17868474
Database:
PASCAL Archive

Weitere Informationen

The lattice Boltzmann equation is briefly introduced using moments to clearly separate the propagation and collision steps in the dynamics. In order to identify unknown parameters we introduce a cost function and adapt control theory to the lattice Boltzmann equation to get expressions for the derivatives of the cost function vs. parameters. This leads to an equivalent of the adjoint method with the definition of an adjoint lattice Boltzmann equation. To verify the general expressions for the derivatives, we consider two elementary situations: a linearized Poiseuille flow to show that the method can be used to optimize parameters, and a nonlinear situation in which a transverse shear wave is advected by a mean uniform flow. We indicate in the conclusion how the method can be used for more realistic situations.