https://doi.org/10.1140/epjs/s11734-025-01806-6
Regular Article
Numerical investigation of model incompatibilities in contact line evaporation
1
Chair of Fluid Dynamics, Technical University Darmstadt, Otto-Berndt-Straße 2, 64287, Darmstadt, Hessen, Germany
2
Graduate School Computational Engineering, Technical University Darmstadt, Dolivostraße 15, 64293, Darmstadt, Hessen, Germany
3
Mathematical Modeling and Analysis, Technical University Darmstadt, Peter-Grünberg-Straße 10, 64287, Darmstadt, Hessen, Germany
a
rieckmann@fdy.tu-darmstadt.de
Received:
6
September
2024
Accepted:
11
July
2025
Published online:
5
August
2025
In the sharp-interface modeling of three phase contact lines special care has to be taken with respect to boundary and interface conditions, to avoid singularities. In this work, one such singularity, arising from an incompatibility in a standard model for evaporation/condensation at the contact line, is investigated numerically. By means of employing an extended Discontinuous Galerkin method, established in preliminary works, we study the severity of the singularity in the model. In a first step, the experimental order of convergence is determined in absence of evaporation/condensation and thus without the incompatibility under investigation. The extent of the incompatibility is then measured by computing the convergence orders again, repeating the same simulation with evaporation/condensation present. As one possible model alteration to dispose of the incompatibility causing the singularity and to assess the properties of the numerical method we propose the introduction of a slip condition on the fluid–fluid interface. This part of the study is complemented by an examination of the experimental order of convergence for the test case using the model without and with slip on the interface.
© The Author(s) 2025
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