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

Bc. David HRON

Diplomová práce

Anotace:

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.

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 fi eld 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 eld, speci cally on the values of shear stress on its wall, is studied.

Klíčová slova

lattice Boltzmannova metoda, kardiovaskulární biomechanika, idealizovaná cévní bifurkace, karotida, numerické simulace, okrajové podmínky typu "Zou-He"

Jazyk práce: čeština

Datum vytvoření / odevzdání či podání práce: 31. 5. 2022

Zveřejnit od: 31. 12. 2999

Obhajoba závěrečné práce

• Obhajoba proběhla 24. 6. 2022
• Vedoucí: Doc. Ing. Jan Vimmr, Ph.D.

ZÁPADOČESKÁ UNIVERZITA V PLZNI

Fakulta aplikovaných věd

Magisterský studijní program / obor:
Aplikovaná mechanika / Dynamika konstrukcí a mechatronika