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Cahn-Hilliard Navier-Stokes simulations for marine free-surface flows

Citation Link: https://doi.org/10.15480/882.4109.2
Publikationstyp
Journal Article
Publikationsdatum
2022-09
Sprache
English
Author
Kühl, Niklas orcid-logo
Hinze, Michael 
Rung, Thomas orcid-logo
Institut
Fluiddynamik und Schiffstheorie M-8 
DOI
10.15480/882.4109.2
TORE-URI
http://hdl.handle.net/11420/7452.2
Lizenz
https://creativecommons.org/licenses/by/4.0/
Enthalten in
Experimental and computational multiphase flow 
Volume
4
Issue
3
Start Page
274
End Page
290
Citation
Experimental and computational multiphase flow 4 (3): 274-290 (2022-09)
Publisher DOI
10.1007/s42757-020-0101-3
Scopus ID
2-s2.0-85124640968
ArXiv ID
2002.04885v2
The paper is devoted to the simulation of maritime two-phase flows of air and water. Emphasis is put on an extension of the classical Volume-of-Fluid (VoF) method by a diffusive contribution derived from a Cahn-Hilliard (CH) model and its benefits for simulating immiscible, incompressible two-phase flows. Such flows are predominantly simulated with implicit VoF schemes, which mostly employ heuristic downwind-biased approximations for the concentration transport to mimic a sharp interface. This strategy introduces a severe time step restriction and requires pseudo time-stepping of steady flows. Our overall goal is a sound description of the free-surface region that alleviates artificial time-step restrictions, facilitates an efficient and robust numerical framework and inherently includes surface tension effects when needed. The approach is verified for an analytical Couette-flow example and the bubble formation under the influence of surface tension forces. 2D Validation examples are concerned with laminar standing waves reaching from gravity to capillary scale as well as a submerged hydrofoil flow. The final application refers to the 3D flow around an experimentally investigated container vessel at fixed floatation for Re=1.4E+07 and Fn=0.26. Results are compared with data obtained from VoF approaches, supplemented by analytical solutions and measurements. The study indicates the superior efficiency, resharpening capability and wider predictive realm of the CH-based extension for free surface flows with a confined spatial range of interface Courant numbers.
Schlagworte
Cahn-Hilliard Navier-Stokes (CH-NS)
Volume-of-Fluid (VoF)
free-surface flow
quasi-steady simulation
CFL independence
DDC Class
600: Technik
Projekt(e)
Hydrodynamische Widerstandsoptimierung von Schiffsrümpfen 
Projekt DEAL 
Weiterentwicklung von praxistauglichen simulationsbasierten Methoden zur Verbesserung der Leistungsfähigkeit von Schiffen mittels Formoptimierung 
Funding Organisations
Deutsche Forschungsgemeinschaft (DFG) 
Bundesministerium für Wirtschaft und Energie (BMWi)
TUHH
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