A Research of Lattice Boltzmann Method and its Implementation to Solve Hydrodynamics Problems

Student: Zagvozdina Kseniya

Supervisor: Evgeny Burovskiy

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Supercomputer Modeling in Science and Engineering (Master)

Year of Graduation: 2020

The aim of this work is to study the method of the lattice Boltzmann equation on the simplest problem of hydrodynamics, the Couette flow. The main task was to calculate the fluid velocities using various methods for implementing boundary conditions. Firstly, we introduce the lattice Boltzmann method and two different approaches to accounting for boundary conditions. Secondly, we compare the results of numerical simulations using different equilibrium distribution functions and spatial grids. At last, the open-source library Palabos is used to solve the test problem. The results of the first and second parts of the work were presented by the author in the paper [8].

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