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. |
|---|---|
| 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] |
| Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 189253708 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Quirós+Rodríguez%2C+Alejandro%22">Quirós Rodríguez, Alejandro</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alejandro.quiros_rodriguez@etu.sorbonne-universite.fr</i><br /><searchLink fieldCode="AR" term="%22Fullana%2C+Tomas%22">Fullana, Tomas</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> tomas.fullana@epfl.ch</i><br /><searchLink fieldCode="AR" term="%22Sayadi%2C+Taraneh%22">Sayadi, Taraneh</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> taraneh.sayadi@lecnam.net</i><br /><searchLink fieldCode="AR" term="%22Le+Chenadec%2C+Vincent%22">Le Chenadec, Vincent</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> vincent.le-chenadec@univ-eiffel.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Sep2025, Vol. 236 Issue 9, p5639-5658. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Level+set+methods%22">Level set methods</searchLink><br /><searchLink fieldCode="DE" term="%22Contact+angle%22">Contact angle</searchLink><br /><searchLink fieldCode="DE" term="%22Open-channel+flow%22">Open-channel flow</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Interface+dynamics%22">Interface dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Conservation+of+mass%22">Conservation of mass</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00707-024-04170-z Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 5639 Subjects: – SubjectFull: Level set methods Type: general – SubjectFull: Contact angle Type: general – SubjectFull: Open-channel flow Type: general – SubjectFull: Boundary value problems Type: general – SubjectFull: Interface dynamics Type: general – SubjectFull: Computer simulation Type: general – SubjectFull: Conservation of mass Type: general – SubjectFull: Iterative methods (Mathematics) Type: general Titles: – TitleFull: A levelset-based cut-cell method for interfacial flows: part 2—free-surface flows and dynamic contact angle treatment. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Quirós Rodríguez, Alejandro – PersonEntity: Name: NameFull: Fullana, Tomas – PersonEntity: Name: NameFull: Sayadi, Taraneh – PersonEntity: Name: NameFull: Le Chenadec, Vincent IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00015970 Numbering: – Type: volume Value: 236 – Type: issue Value: 9 Titles: – TitleFull: Acta Mechanica Type: main |
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