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Numerical Modeling of Fluid Interface Phenomena
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0002-4911-467X
2009 (English)Licentiate thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH , 2009. , ix, 41 p.
Series
Trita-CSC-A, ISSN 1653-5723 ; 2009:7
Identifiers
URN: urn:nbn:se:kth:diva-10507ISBN: 978-91-7415-344-6 (print)OAI: oai:DiVA.org:kth-10507DiVA: diva2:218475
Presentation
2009-05-10, D42, Lindstedsvägen 5, plan 4, Kungliga Tekniska högskolan, 10:00 (English)
Opponent
Supervisors
Available from: 2009-05-26 Created: 2009-05-19 Last updated: 2010-11-03Bibliographically approved
List of papers
1. A Conservative Level Set Method for Contact Line Dynamics
Open this publication in new window or tab >>A Conservative Level Set Method for Contact Line Dynamics
2009 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 228, no 17, 6361-6375 p.Article in journal (Refereed) Published
Abstract [en]

A new model for simulating contact line dynamics is proposed. We apply the idea of driving contact-line movement by enforcing the equilibrium contact angle at the boundary, to the conservative level set method for incompressible two-phase flow [E. Olsson, G. Kreiss, A conservative level set method for two phase flow, J. Comput. Phys. 210 (2005) 225-246]. A modified reinitialization procedure provides a diffusive mechanism for contact-line movement, and results in a smooth transition of the interface near the contact line without explicit reconstruction of the interface. We are able to capture contact-line movement without loosing the conservation. Numerical simulations of capillary dominated flows in two space dimensions demonstrate that the model is able to capture contact line dynamics qualitatively correct.

Keyword
level set method, contact line, conservative, two--phase flow, wetting
National Category
Computer and Information Science
Identifiers
urn:nbn:se:kth:diva-10505 (URN)10.1016/j.jcp.2009.05.043 (DOI)000268898200016 ()2-s2.0-67650147952 (Scopus ID)
Note
QC 20100818Available from: 2009-05-19 Created: 2009-05-19 Last updated: 2017-12-13Bibliographically approved
2. An Interface Capturing Method for Two-Phase Flow with Moving Contact Lines
Open this publication in new window or tab >>An Interface Capturing Method for Two-Phase Flow with Moving Contact Lines
2008 (English)In: Proccedings of the 1st European Conference on Microfluidics 2008, SOCIETE HYDROTECHNIQUE DE FRANCE , 2008Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
SOCIETE HYDROTECHNIQUE DE FRANCE, 2008
Keyword
contact line dynamics, contact angle, level set method, two phase flow, conservative method
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-10504 (URN)
Conference
1st European Conference on Microfluidics, Microfluidics 2008, December 10-12, 2008, Università di Bologna, Italy
Note
QC 20101103Available from: 2009-05-19 Created: 2009-05-19 Last updated: 2010-11-03Bibliographically approved
3. Delta Function Approximations in Level Set Methods by Distance Function Extension
Open this publication in new window or tab >>Delta Function Approximations in Level Set Methods by Distance Function Extension
2010 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 229, no 6, 2199-2219 p.Article in journal (Refereed) Published
Abstract [en]

 In [A.-K. Tornberg, B. Engquist, Numerical approximations of singular source terms in differential equations, J. Comput. Phys. 200 (2004) 462-488], it was shown for simple examples that the then most common way to regularize delta functions in connection to level set methods produces inconsistent approximations with errors that are not reduced with grid refinement. Since then, several clever approximations have been derived to overcome this problem. However, the great appeal of the old method was its simplicity. In this paper it is shown that the old method - a one-dimensional delta function approximation extended to higher dimensions by a distance function - can be made accurate with a different class of one-dimensional delta function approximations. The prize to pay is a wider support of the resulting delta function approximations.

Keyword
Level set method, Delta function, Consistent approximations, Discretization, Distance function
National Category
Computer and Information Science
Identifiers
urn:nbn:se:kth:diva-10506 (URN)10.1016/j.jcp.2009.11.030 (DOI)000275092000015 ()2-s2.0-73649126152 (Scopus ID)
Funder
Knut and Alice Wallenberg Foundation
Note
QC 20100907. Uppdaterat från Manuskript till Artikel (20100907)Available from: 2009-05-19 Created: 2009-05-19 Last updated: 2017-12-13Bibliographically approved

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Zahedi, Sara

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