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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Bibliographic Details
Authors: Dottori, Javier Alejandro, Boroni, Gustavo Adolfo, Clausse, Alejandro
Format: article
Status:Published version
Publication Date:2015
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/33187
Online Access:http://hdl.handle.net/11336/33187
Access Level:Open access
Keyword:Lattice Boltzmann
Maximum Entropy
Boundary Conditions
Fulle Developed Flow
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Description
Summary: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.