Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method

Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method

A method for modeling outflow boundary conditions in the lattice Boltzmann method (LBM) based on the maximization of the local entropy is presented. The maximization procedure is constrained by macroscopic values and downstream components. The method is applied to fully developed boundary conditions...

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Main Authors: Javier A. Dottori, Gustavo A. Boroni, Alejandro Clausse
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/159418
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spelling doaj-3a6643904a9949ff9704ffc1552588b42020-11-24T22:51:08ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/159418159418Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann MethodJavier A. Dottori0Gustavo A. Boroni1Alejandro Clausse2CONICET, Avenida Rivadavia 1917, 1033 Buenos Aires, ArgentinaCONICET, Avenida Rivadavia 1917, 1033 Buenos Aires, ArgentinaNational University of Central Buenos Aires, Pinto 399, 7000 Tandil, ArgentinaA method for modeling outflow boundary conditions in the lattice Boltzmann method (LBM) based on the maximization of the local entropy is presented. The maximization procedure is constrained by macroscopic values and downstream components. The method is applied to fully developed boundary conditions of the Navier-Stokes equations in rectangular channels. Comparisons are made with other alternative methods. In addition, the new downstream-conditioned entropy is studied and it was found that there is a correlation with the velocity gradient during the flow development.http://dx.doi.org/10.1155/2015/159418
collection DOAJ
language English
format Article
sources DOAJ
author Javier A. Dottori
Gustavo A. Boroni
Alejandro Clausse
spellingShingle Javier A. Dottori
Gustavo A. Boroni
Alejandro Clausse
Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method
Mathematical Problems in Engineering
author_facet Javier A. Dottori
Gustavo A. Boroni
Alejandro Clausse
author_sort Javier A. Dottori
title Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method
title_short Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method
title_full Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method
title_fullStr Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method
title_full_unstemmed Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method
title_sort downstream-conditioned maximum entropy method for exit boundary conditions in the lattice boltzmann method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description A method for modeling outflow boundary conditions in the lattice Boltzmann method (LBM) based on the maximization of the local entropy is presented. The maximization procedure is constrained by macroscopic values and downstream components. The method is applied to fully developed boundary conditions of the Navier-Stokes equations in rectangular channels. Comparisons are made with other alternative methods. In addition, the new downstream-conditioned entropy is studied and it was found that there is a correlation with the velocity gradient during the flow development.
url http://dx.doi.org/10.1155/2015/159418
work_keys_str_mv AT javieradottori downstreamconditionedmaximumentropymethodforexitboundaryconditionsinthelatticeboltzmannmethod
AT gustavoaboroni downstreamconditionedmaximumentropymethodforexitboundaryconditionsinthelatticeboltzmannmethod
AT alejandroclausse downstreamconditionedmaximumentropymethodforexitboundaryconditionsinthelatticeboltzmannmethod
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