A Lattice Boltzmann Scheme for Diffusion Equation in Spherical Coordinate

International Journal of Mathematics and Systems Science

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Field Value
 
Title A Lattice Boltzmann Scheme for Diffusion Equation in Spherical Coordinate
 
Creator Datta, Debabrata
Pal, T K
 
Subject Radial diffusion; lattice Boltzmann method; spherical coordinate
 
Description Lattice Boltzmann models for diffusion equation are generally in Cartesian coordinate system. Very few researchers have attempted to solve diffusion equation in spherical coordinate system. In the lattice Boltzmann based diffusion model in spherical coordinate system extra term, which is due to variation of surface area along radial direction, is modeled as source term. In this study diffusion equation in spherical coordinate system is first converted to diffusion equation which is similar to that in Cartesian coordinate system by using proper variable. The diffusion equation is then solved using standard lattice Boltzmann method. The results obtained for the new variable are again converted to the actual variable. The numerical scheme is verified by comparing the results of the simulation study with analytical solution. A good agreement between the two results is established.
 
Publisher EnPress Publisher LLC
 
Contributor
 
Date 2018-06-07
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier https://systems.enpress-publisher.com/index.php/IJMSS/article/view/815
10.24294/ijmss.v1i4.815
 
Source International Journal of Mathematics and Systems Science; Vol 1, No 4 (In publishing)
2578-1839
10.24294/ijmss.v1i4
 
Language eng
 
Relation https://systems.enpress-publisher.com/index.php/IJMSS/article/view/815/370
 
Rights Copyright (c) 2018 International Journal of Mathematics and Systems Science
http://creativecommons.org/licenses/by-nc/4.0
 

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