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A cumulative PhD thesis about lattice Boltzmann simulations of thin liquid films. It contains a ~50 page introduction and four peer reviewed papers. The interesting idea is to use the shallow water system to simulate thin film flows. This works surprisingly well.

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Dyamics of thin liquid film flows studied with the lattice Boltzmann method

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Hello everybody 👋

My name is Stefan and I'm a researcher, who defended his PhD on the 17th of July 2024. Currently, as of June 2024, I am working at the Research Center for Pharmaceutical Engineering (RCPE). From the beginning of 2022 to March 2024 I was employed at Roskilde University. The work for this dissertation started at the Helmholtz Institute for Renewable Energies, where I was employed from March 2017 to December 2021. This repository houses my dissertation, my research focus is fluid dynamics or to be exact computational fluid dynamics. The thesis is made of two parts. The first part is a somewhat lengthy introduction where I try to say something smart about fluid dynamics and the lattice Boltzmann method (LBM), which is a model to put the continuous Navier-Stokes equation into a discrete form so that a computer can solve them. The second part of the thesis are the papers I have written. In the first paper the numerical realization of the problem shown, following a test driven approach and functional computing style. The second paper introduces the neat tricks we had to come up with to push the shallow water equations into the thin film framework. In the third paper we were looking at a rather complex problem and did some cool work both, theoretically and numerically. The second part is closed with my forth paper, actually the one I am kind a proud of. We could find a novel morphological transition and found even a simple theoretical argument to motivate that transition.

After this I have added a short conclusion and some outlook.

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A cumulative PhD thesis about lattice Boltzmann simulations of thin liquid films. It contains a ~50 page introduction and four peer reviewed papers. The interesting idea is to use the shallow water system to simulate thin film flows. This works surprisingly well.

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