Article Dans Une Revue Acta Mechanica Année : 2024

A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment

Résumé

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.

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hal-05452479 , version 1 (10-01-2026)

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Alejandro Quirós Rodríguez, Tomas Fullana, Taraneh Sayadi, Vincent Le Chenadec. A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment. Acta Mechanica, 2024, 236 (9), pp.5639-5658. ⟨10.1007/s00707-024-04170-z⟩. ⟨hal-05452479⟩
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