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A unified finite volume framework for phase‐field simulations of an arbitrary number of fluid phases

Bagheri, Milad ; Stumpf, Bastian ; Roisman, Ilia V. ; Dadvand, Abdolrahman ; Wörner, Martin ; Marschall, Holger (2022):
A unified finite volume framework for phase‐field simulations of an arbitrary number of fluid phases. (Publisher's Version)
In: The Canadian Journal of Chemical Engineering, 100 (9), pp. 2291-2308. John Wiley & Sons, e-ISSN 1939-019X,
DOI: 10.26083/tuprints-00022441,
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Item Type: Article
Origin: Secondary publication DeepGreen
Status: Publisher's Version
Title: A unified finite volume framework for phase‐field simulations of an arbitrary number of fluid phases
Language: English
Abstract:

While the phase‐field methodology is widely adopted for simulating two‐phase flows, the simulation of an arbitrary number (N ≥ 2) of fluid phases at physical fidelity is non‐trivial and requires special attention concerning mathematical modelling, numerical discretization, and solution algorithm. We present our most recent work with a focus on validation for multiple immiscible, incompressible, and isothermal phases, enhancing further our library for diffuse interface phase‐field interface capturing methods in OpenFOAM (FOAM‐extend 4.0/4.1). The phase‐field method is an energetic variational formulation based on the work of Cahn and Hilliard where the interface is composed of a physical diffuse layer resembling realistic interfaces. The evolution of the phases is then governed by the minimization of the free energy of the system. The accuracy of the method is demonstrated for a number of test problems, including a floating liquid lens, bubble rise in two stratified layers, and drop impact onto thin liquid film.

Journal or Publication Title: The Canadian Journal of Chemical Engineering
Volume of the journal: 100
Issue Number: 9
Place of Publication: Darmstadt
Publisher: John Wiley & Sons
Uncontrolled Keywords: Cahn–Hilliard Navier–Stokes, multiphase flows, phase‐field
Classification DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Fluid Mechanics and Aerodynamics (SLA)
04 Department of Mathematics > Analysis
Date Deposited: 23 Dec 2022 14:20
Last Modified: 14 Mar 2023 11:02
DOI: 10.26083/tuprints-00022441
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-224411
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/22441
PPN: 505732211
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