Využití lattice Boltzmannovy metody pro numerické řešení proudění krve ve vybraných problémech kardiovaskulární biomechaniky

Abstract

This diploma thesis deals with the implementation of the lattice Boltzmann method for the numerical solution of selected problems of cardiovascular biomechanics. A literature search is performed, which focuses on the use of the lattice Boltzmann method in the field of cardiovascular biomechanics. The basic principles of kinetic theory on which the method is based are described. Subsequently, the algorithm of lattice Boltzmann method is presented, including the implementation of Zou-He boundary conditions in planar regions of various geometries. Numerical simulations of steady blood flow in both idealized and real 2D model of vascular bifurcation are presented. At the end of the work, the influence of the angle between the daughter branches of the idealized symmetric 2D vascular bifurcation on the velocity field, specifically on the values of shear stress on its wall, is studied.