Numerische Modellierung von Zellumwandlungen unter Berücksichtigung von Erhaltungsgesetzen

In this thesis the cell conversion in the free-surface lattice Boltzmann method are investigated, whereby the laws of mass, momentum and energy conservation are especially considered. Di erent modeling approaches from literature are presented and discussed as well as new models introduced. It is then attempted to compare the di erent approaches with each other and validate their overall accuracy and stability in di erent test cases. In the course of the thesis the focus shifted to the general problem of the limited possibilities to model cell conversions and the problematic situation as to how to validate cell conversion models.