A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment.
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| Title: | A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment. |
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| Authors: | Quirós Rodríguez, Alejandro1 (AUTHOR) alejandro.quiros_rodriguez@etu.sorbonne-universite.fr, Fullana, Tomas1,2 (AUTHOR) tomas.fullana@epfl.ch, Sayadi, Taraneh1,3 (AUTHOR) taraneh.sayadi@lecnam.net, Le Chenadec, Vincent4 (AUTHOR) vincent.le-chenadec@univ-eiffel.fr |
| Source: | Acta Mechanica. Sep2025, Vol. 236 Issue 9, p5639-5658. 20p. |
| Subjects: | Level set methods, Contact angle, Open-channel flow, Boundary value problems, Interface dynamics, Computer simulation, Conservation of mass, Iterative methods (Mathematics) |
| Abstract: | This second segment of a two-part study investigates the numerical modeling of the Navier slip boundary condition at the contact line at the junction of free and solid surfaces, a key element in many natural and technological processes. The first segment introduced a method based on the cut-cell formalism. This second segment demonstrates how this simple formulation can be used to flexibly mix Navier, no-slip and free-surface boundary conditions near sharp interfaces described using a levelset representation. The study emphasizes a unified treatment of boundaries and interfaces that retains the simplicity of the original methodology without requiring further simplifying assumptions. To that end, a two-levelset approach is employed, with one levelset defining the solid wall and the other defining the free-surface. The spreading of a droplet over straight and circular walls for different contact angles is used as validation cases. The expected first-order accuracy in mass loss/gain is achieved, with the maximum error in mass conservation reaching 10% in the worst-case scenario. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | This second segment of a two-part study investigates the numerical modeling of the Navier slip boundary condition at the contact line at the junction of free and solid surfaces, a key element in many natural and technological processes. The first segment introduced a method based on the cut-cell formalism. This second segment demonstrates how this simple formulation can be used to flexibly mix Navier, no-slip and free-surface boundary conditions near sharp interfaces described using a levelset representation. The study emphasizes a unified treatment of boundaries and interfaces that retains the simplicity of the original methodology without requiring further simplifying assumptions. To that end, a two-levelset approach is employed, with one levelset defining the solid wall and the other defining the free-surface. The spreading of a droplet over straight and circular walls for different contact angles is used as validation cases. The expected first-order accuracy in mass loss/gain is achieved, with the maximum error in mass conservation reaching 10% in the worst-case scenario. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00015970 |
| DOI: | 10.1007/s00707-024-04170-z |
