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Publisher DOI: 10.1007/s42757-020-0101-3
arXiv ID: 2002.04885v2
Title: Cahn-Hilliard Navier-Stokes simulations for marine free-surface flows
Language: English
Authors: Kühl, Niklas  
Hinze, Michael 
Rung, Thomas  
Keywords: Cahn-Hilliard Navier-Stokes (CH-NS); Volume-of-Fluid (VoF); free-surface flow; quasi-steady simulation; CFL independence
Issue Date: Sep-2022
Source: Experimental and computational multiphase flow 4 (3): 274-290 (2022-09)
Abstract (english): 
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.
DOI: 10.15480/882.4109.2
ISSN: 2661-8877
Journal: Experimental and computational multiphase flow 
Institute: Fluiddynamik und Schiffstheorie M-8 
Document Type: Article
Project: Hydrodynamische Widerstandsoptimierung von Schiffsrümpfen 
Projekt DEAL 
Weiterentwicklung von praxistauglichen simulationsbasierten Methoden zur Verbesserung der Leistungsfähigkeit von Schiffen mittels Formoptimierung 
Funded by: Deutsche Forschungsgemeinschaft (DFG) 
Bundesministerium für Wirtschaft und Energie (BMWi)
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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Version Item Date Summary
2 doi:10.15480/882.4109.2 2022-01-20 14:39:53.632 Erschienen
1 hdl:11420/7452 2020-10-01 16:16:27.0

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