THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING

THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING

The objective of this thesis is to evaluate the two-dimensional lattice Boltzmann method (LBM) as numerical method to solve mass transport problem especially advection-diffusion equation. This study investigates and compares the stability and accuracy of the LBM with two-relaxation-time collision op...

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Main Author: (NIM 20206008), SUGIYANTO
Format: Theses
Language:Indonesia
Subjects:
Fisika
Online Access:https://digilib.itb.ac.id/gdl/view/12681
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:12681
spelling id-itb.:126812017-09-27T14:40:56ZTHE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING (NIM 20206008), SUGIYANTO Fisika Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/12681 The objective of this thesis is to evaluate the two-dimensional lattice Boltzmann method (LBM) as numerical method to solve mass transport problem especially advection-diffusion equation. This study investigates and compares the stability and accuracy of the LBM with two-relaxation-time collision operator (LTRT) model with the single-relaxation-time or Bhatnagar-Gross-Krook (LBGK) model.<p>The program was verified using two-dimensional transport equation with Gaussian initial condition. The result of computation was compared with analytical solution of the problem. The LBGK model was compared with the LTRT model by varying the linier equlibrium distribution functions (EDFs) and quadratic EDFs and varying the relaxation time in D2Q9 lattice.<p>The program was implemented to solve the two-dimensional transport in a rectangular region problem, and the results LTRT are in good agreement with other numerical solutions methods obtained by Yeh with 3DLEWASTE and Hardyanto with 3DFEMWATER-LHS. <br /> text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
topic Fisika
spellingShingle Fisika
(NIM 20206008), SUGIYANTO
THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING
description The objective of this thesis is to evaluate the two-dimensional lattice Boltzmann method (LBM) as numerical method to solve mass transport problem especially advection-diffusion equation. This study investigates and compares the stability and accuracy of the LBM with two-relaxation-time collision operator (LTRT) model with the single-relaxation-time or Bhatnagar-Gross-Krook (LBGK) model.<p>The program was verified using two-dimensional transport equation with Gaussian initial condition. The result of computation was compared with analytical solution of the problem. The LBGK model was compared with the LTRT model by varying the linier equlibrium distribution functions (EDFs) and quadratic EDFs and varying the relaxation time in D2Q9 lattice.<p>The program was implemented to solve the two-dimensional transport in a rectangular region problem, and the results LTRT are in good agreement with other numerical solutions methods obtained by Yeh with 3DLEWASTE and Hardyanto with 3DFEMWATER-LHS. <br />
format Theses
author (NIM 20206008), SUGIYANTO
author_facet (NIM 20206008), SUGIYANTO
author_sort (NIM 20206008), SUGIYANTO
title THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING
title_short THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING
title_full THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING
title_fullStr THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING
title_full_unstemmed THE COMPARISON OF LATTICE BOLTZMANN METHOD LTRT-MODEL AND LBGK-MODEL FOR ADVECTION-DIFFUSION EQUATION MODELING
title_sort comparison of lattice boltzmann method ltrt-model and lbgk-model for advection-diffusion equation modeling
url https://digilib.itb.ac.id/gdl/view/12681
_version_ 1820728591895232512

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