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.
In: The Canadian Journal of Chemical Engineering, 2022, 100 (9)
doi: 10.26083/tuprints-00022441
Article, Secondary publication, Publisher's Version
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Item Type: | Article |
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Type of entry: | Secondary publication |
Title: | A unified finite volume framework for phase‐field simulations of an arbitrary number of fluid phases |
Language: | English |
Date: | 23 December 2022 |
Place of Publication: | Darmstadt |
Year of primary publication: | 2022 |
Publisher: | John Wiley & Sons |
Journal or Publication Title: | The Canadian Journal of Chemical Engineering |
Volume of the journal: | 100 |
Issue Number: | 9 |
DOI: | 10.26083/tuprints-00022441 |
Corresponding Links: | |
Origin: | Secondary publication DeepGreen |
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. |
Uncontrolled Keywords: | Cahn–Hilliard Navier–Stokes, multiphase flows, phase‐field |
Status: | Publisher's Version |
URN: | urn:nbn:de:tuda-tuprints-224411 |
Classification DDC: | 500 Science and mathematics > 510 Mathematics 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering |
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 Nov 2023 19:05 |
SWORD Depositor: | Deep Green |
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/22441 |
PPN: | 505732211 |
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