Režģa Bolcmaņa metodes lietojums konvekcijas-difūzijas-reakcijas problēmām
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Latvijas Universitāte
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lav
Abstract
Darbs ir veltīts režģa Bolcmaņa metodes pielietojumiem Navjē-Stoksa vienādojuma, konvekcijas-difūzijas-reakcijas vienādojuma un to sistēmu risināšanā. Šādas sistēmas parādās, modelējot enerģijas un masas pārneses uzdevumus, tostarp tādus, kas iekļauj ķīmiskās reakcijas. Darba ietvaros ir apskatīta metodes implementācija ar dažāda veida robežnosacījumiem, un izstrādāti MATLAB risinājumi divās telpas dimensijās plūsmai Teslas ventilī, degšanas procesam porainā vidē, siltumvadīšanas vienādojumam un cilindra aptecēšanai. Ir piedāvāti ieteikumi optimālai metodes implementācijai.
This thesis is dedicated to applications of lattice Boltzmann method in solving the Navier-Stokes equation, the convection-diffusion-reaction equation and systems. Such systems appear when modelling problems of mass and energy transfer, including those with chemical reactions. Implementation of the method is analyzed with the inclusion of various boundary conditions. Solutions in two space dimensions are developed in MATLAB for the flow in a Tesla valve, combustion in a porous medium, the heat transfer equation and the flow around a cylinder. Suggestions for optimal implementation of the method are given.
This thesis is dedicated to applications of lattice Boltzmann method in solving the Navier-Stokes equation, the convection-diffusion-reaction equation and systems. Such systems appear when modelling problems of mass and energy transfer, including those with chemical reactions. Implementation of the method is analyzed with the inclusion of various boundary conditions. Solutions in two space dimensions are developed in MATLAB for the flow in a Tesla valve, combustion in a porous medium, the heat transfer equation and the flow around a cylinder. Suggestions for optimal implementation of the method are given.