Task

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian method for fluid simulations, particularly useful in multiphase flows, as it inherently captures interface dynamics without requiring complex interface reconstruction. However, conventional Lagrangian SPH methods suffer from irregular particle distribution, leading to numerical errors and instability. To address this, we implement an Arbitrary Lagrangian-Eulerian SPH (ALE-SPH) scheme, which improves particle distribution, stabilizes velocity fields and enhances the accuracy of mass transfer simulations.
The thesis will focus on applying ALE-SPH to convection-dominated mass transfer problems (e.g., 2D falling films) and compare the results with the conventional Lagrangian SPH qualitatively and quantitatively to investigate the potential advantages of ALE-SPH.

Candidate requirements:

1. Technical skills:

• Experience with Linux environments
• Programming experience in Python and/or C++
• Interest in numerical modeling and post-processing techniques

2. Domain knowledge:

• Good understanding of the fundamentals of computational fluid dynamics (CFD)
• Knowledge of Computatinoal Mass Transfer (CMT) is helpful

References

[Figure left] Werdelmann, B., Koch, R., Krebs, W., and Bauer, H.-J. "An approach for permeable boundary conditions in SPH", J. Comput. Phys.,444, 110562 (2021).