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Phase-field formulation of a fictitious domain method for particulate flows interacting with complex and evolving geometries

Reder, Martin ORCID iD icon 1; Schneider, Daniel 1; Wang, Fei 1; Daubner, Simon 1; Nestler, Britta 1
1 Institut für Angewandte Materialien – Computational Materials Science (IAM-CMS), Karlsruher Institut für Technologie (KIT)


A distributed Lagrange multiplier/fictitious domain method in a phase-field formulation for the simulation of rigid bodies in incompressible fluid flow is presented. The phase-field method yields an implicit representation of geometries and thus rigid body particulate flows within arbitrary geometries can be simulated based on a fixed Cartesian grid. Therefore, a phase-field based collision model is introduced in order to address contact of particles with arbitrary solid structures as boundaries. In addition, grain growth within the boundary geometry can be considered leading to changes in its shape during the simulation. The method is validated on benchmark problems and a convergence study is performed. Multiple numerical experiments are carried out in order to show themethods’ capability to simulate problems with differently shaped rigid bodies and particulate flows involving complex boundary geometries like foam structures.

Verlagsausgabe §
DOI: 10.5445/IR/1000131887
Veröffentlicht am 08.07.2021
DOI: 10.1002/fld.4984
Zitationen: 3
Web of Science
Zitationen: 3
Zitationen: 3
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte Materialien – Computational Materials Science (IAM-CMS)
Post Lithium Storage (POLiS)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 08.2021
Sprache Englisch
Identifikator ISSN: 0271-2091, 1097-0363
KITopen-ID: 1000131887
HGF-Programm 38.02.01 (POF IV, LK 01) Fundamentals and Materials
Weitere HGF-Programme 43.31.01 (POF IV, LK 01) Multifunctionality Molecular Design & Material Architecture
Erschienen in International Journal for Numerical Methods in Fluids
Verlag John Wiley and Sons
Band 93
Heft 8
Seiten 2486-2507
Schlagwörter distributed Lagrange multiplier, fictitious domain, phase-field method, rigid body particulate flow, solid–fluid interaction
Nachgewiesen in Dimensions
Web of Science
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