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- Publisher Website: 10.1016/j.jcp.2021.110607
- Scopus: eid_2-s2.0-85112131466
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Article: A Second Order Accuracy Preserving Method for Moving Contact Lines with Stokes Flow
Title | A Second Order Accuracy Preserving Method for Moving Contact Lines with Stokes Flow |
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Authors | |
Keywords | Moving contact lines Contact angle hysteresis Immersed interface method Parametric finite element method |
Issue Date | 2021 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp |
Citation | Journal of Computational Physics, 2021, v. 445, p. article no. 110607 How to Cite? |
Abstract | The immersed interface method (IIM) has been widely used in simulations of multiphase flows with closed interfaces. We generalize IIM to simulate the moving contact line problems, which are modeled by the Stokes equation with the Navier-slip boundary condition and the contact angle condition. With the help of variational formulation, the contact angle condition can be combined with the interfacial kinematics in a weak form. A parametric finite element method (parametric FEM) is applied to solve for the interface motion as well as the curvature, which are in turn used to update the correction terms for the irregular points in IIM. The hybrid IIM-parametric FEM method is Cartesian grid based, and achieves second order accuracy not only in the velocity field but also in the interface and the contact line motion. This is validated by numerical results. Moreover, we generalize the method to account for discontinuous viscosity. Various numerical experiments are presented in the study of droplet motion and contact angle hysteresis. |
Persistent Identifier | http://hdl.handle.net/10722/304238 |
ISSN | 2023 Impact Factor: 3.8 2023 SCImago Journal Rankings: 1.679 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | CHAI, S | - |
dc.contributor.author | Zhang, Z | - |
dc.contributor.author | Zhang, Z | - |
dc.date.accessioned | 2021-09-23T08:57:12Z | - |
dc.date.available | 2021-09-23T08:57:12Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Journal of Computational Physics, 2021, v. 445, p. article no. 110607 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | http://hdl.handle.net/10722/304238 | - |
dc.description.abstract | The immersed interface method (IIM) has been widely used in simulations of multiphase flows with closed interfaces. We generalize IIM to simulate the moving contact line problems, which are modeled by the Stokes equation with the Navier-slip boundary condition and the contact angle condition. With the help of variational formulation, the contact angle condition can be combined with the interfacial kinematics in a weak form. A parametric finite element method (parametric FEM) is applied to solve for the interface motion as well as the curvature, which are in turn used to update the correction terms for the irregular points in IIM. The hybrid IIM-parametric FEM method is Cartesian grid based, and achieves second order accuracy not only in the velocity field but also in the interface and the contact line motion. This is validated by numerical results. Moreover, we generalize the method to account for discontinuous viscosity. Various numerical experiments are presented in the study of droplet motion and contact angle hysteresis. | - |
dc.language | eng | - |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcp | - |
dc.relation.ispartof | Journal of Computational Physics | - |
dc.subject | Moving contact lines | - |
dc.subject | Contact angle hysteresis | - |
dc.subject | Immersed interface method | - |
dc.subject | Parametric finite element method | - |
dc.title | A Second Order Accuracy Preserving Method for Moving Contact Lines with Stokes Flow | - |
dc.type | Article | - |
dc.identifier.email | Zhang, Z: zhangzw@hku.hk | - |
dc.identifier.authority | Zhang, Z=rp02087 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jcp.2021.110607 | - |
dc.identifier.scopus | eid_2-s2.0-85112131466 | - |
dc.identifier.hkuros | 325056 | - |
dc.identifier.volume | 445 | - |
dc.identifier.spage | article no. 110607 | - |
dc.identifier.epage | article no. 110607 | - |
dc.identifier.isi | WOS:000696503300012 | - |
dc.publisher.place | United States | - |