What is it about?
We develop a numerical scheme which is able to solve the thin film equation using the lattice Boltzmann ansatz. This allows us to harness the computational efficiency of the lattice Boltzmann method and accelerate simulations using the GPUs. We prove accuracy of the ansatz with selected test cases, such as a sliding droplet.
Featured Image
Why is it important?
The thin film equation is rather stiff non-linear partial differential equation that has been extensively studied by mathematicians. Developing numerical approaches for this system is far from being trivial, we showed that our lattice Boltzmann method offers a stable and simple toolkit to study this equation numerically.
Perspectives
This was actually the first paper of my PhD and we developed the method in the coming years to account for various other effects. It's a fine paper, but in hindsight we could have done a better job.
Stefan Zitz
Research Center Pharmaceutical Engineering
Read the Original
This page is a summary of: Lattice Boltzmann method for thin-liquid-film hydrodynamics, Physical Review E, September 2019, American Physical Society (APS),
DOI: 10.1103/physreve.100.033313.
You can read the full text:
Contributors
The following have contributed to this page
