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Parallel adaptive computation of some time-dependent materials-related microstructural problems
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-2830-0454
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-3132-7252
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0003-3336-1462
2007 (English)In: Bulletin of the Polish Academy of Sciences: Technical Sciences, ISSN 0239-7528, Vol. 55, no 2, 229-237 p.Article in journal (Refereed) Published
Abstract [en]

Some materials-related microstructural problems calculated using the phase-field method are presented. It is well known that the phase field method requires mesh resolution of a diffuse interface. This makes the use of mesh adaptivity essential especially for fast evolving interfaces and other transient problems. Complex problems in 3D are also computationally challenging so that parallel computations are considered necessary. In this paper, a parallel adaptive finite element scheme is proposed. The scheme keeps the level of node and edge for 2D and level of node and face for 3D instead of the complete history of refinements to facilitate derefinement. The information is local and exchange of information is minimized and also less memory is used. The parallel adaptive algorithms that run on distributed memory machines are implemented in the numerical simulation of dendritic growth and capillary-driven flows.

Place, publisher, year, edition, pages
2007. Vol. 55, no 2, 229-237 p.
Keyword [en]
Adaptive finite element method; Dendritic growth; Parallel computing; Wetting; Computational complexity; Finite element method; Interfaces (materials); Parallel processing systems; Wetting; Adaptive finite element method; Dendritic growth; Microstructure
National Category
Other Materials Engineering
Identifiers
URN: urn:nbn:se:kth:diva-7214ISI: 000255242300012Scopus ID: 2-s2.0-34547291979OAI: oai:DiVA.org:kth-7214DiVA: diva2:12155
Note
QC 20100823. Uppdaterad från In press till Published 20100823.Available from: 2007-05-29 Created: 2007-05-29 Last updated: 2012-03-21Bibliographically approved
In thesis
1. Diffuse-Interface Simulations of Capillary Phenomena
Open this publication in new window or tab >>Diffuse-Interface Simulations of Capillary Phenomena
2007 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

Fluid flows mainly driven by capillary forces are presented in this thesis. By means of modeling and simulations, interesting dynamics in capillary-driven flows are revealed such as coalescences, breakups, precursor films, flow instabilities, rapid spreading, rigid body motions, and reactive wetting.

Diffuse-interface methods model a fluid interface as having a finite thickness endowed with physical properties such as surface tension. Two diffuse-interface models that are based on the free energy of the system are presented. The binary model, more specifically the coupled Navier-Stokes/Cahn-Hilliard equations, was used to study different two-phase flows including problems related to microfluidics. Numerical issues using this model have been addressed such as the need for mesh adaptivity and time-step restrictions. Moreover, the flexibility of this model to simulate 2D, axisymmetric, and 3D flows has been demonstrated.

The factors affecting reproducibility of microdroplet depositions performed under a liquid medium are investigated. In the deposition procedure, sample solution is dispensed from the end of a capillary by the aid of a pressure pulse onto a substrate with pillar-shaped sample anchors. In both the experimental and numerical study it was shown that the deposited volume mainly depends on the capillary-substrate distance and anchor surface wettability. Furthermore, a critical equilibrium contact angle has been identified below which reproducible depositions are facilitated.

The ternary model is developed for more complicated flows such as liquid phase sintering. With the introduction of a Gibbs energy functional, the governing equations are derived, consisting of convective concentration and phase-field equations which are coupled to the Navier-Stokes equations with surface tension forces. Arbitrary phase diagrams, surface energies, and typical dimensionless numbers are some input parameters into the model. Detailed analysis of the important capillary phenomena in liquid phase sintering such as reactive and nonreactive wetting and motion of two particles connected by a liquid bridge are presented. The dynamics of the wetting is found to match with a known hydrodynamic theory for spreading liquids. Factors affecting the equilibrium configuration of the particles such as equilibrium contact angles and volume ratios are also investigated.

Place, publisher, year, edition, pages
Stockholm: KTH, 2007. ix, 34 p.
Series
Trita-MEK, ISSN 0348-467X ; 2007:05
Keyword
capillary-driven flows, wetting, Cahn-Hilliard/Navier-Stokes system, multicomponent and multiphase flows, parallel adaptive computing
National Category
Other Materials Engineering
Identifiers
urn:nbn:se:kth:diva-4402 (URN)978-91-7178-718-7 (ISBN)
Public defence
2007-06-08, Sal F2, KTH, Lindstedtsvägen 26, Stockholm, 10:00 (English)
Opponent
Supervisors
Note
QC 20100823Available from: 2007-05-29 Created: 2007-05-29 Last updated: 2010-08-23Bibliographically approved

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Do-Quang, MinhVillanueva, WalterAmberg, Gustav

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