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A comparative study of transient capillary rise using direct numerical simulations

Gründing, Dirk ; Smuda, Martin ; Antritter, Thomas ; Fricke, Mathis ; Rettenmaier, Daniel ; Kummer, Florian ; Stephan, Peter ; Marschall, Holger ; Bothe, Dieter (2020):
A comparative study of transient capillary rise using direct numerical simulations.
In: Applied Mathematical Modelling, 86, pp. 142 - 165. ISSN 0307-904X,
DOI: 10.1016/j.apm.2020.04.020,
[Article]

Abstract

The rise of liquid in capillaries, or between two parallel plates as the 2D variant thereof, represents a challenging test case for two-phase flow solvers without a full analytic solution. Four different numerical approaches are compared for the rise of liquid, also providing reference data being of high relevance for capillarity-dominated wetting processes. The used methods are an Arbitrary Lagrangian–Eulerian method (OpenFOAM solver interTrackFoam), a geometric Volume of Fluid code (FS3D), an algebraic Volume of Fluid method (OpenFOAM solver interFoam), and a level-set based extended discontinuous Galerkin discretization (BoSSS). While the transient rise height shows excellent agreement between the different implementations, the velocity fields at the interface demonstrate a different level of local accuracy of the available approaches. Reducing the slip length reduces the overall dynamics of the system, thus yielding a qualitative change in the rise behavior – a behavior that is not covered by simplified ODE models. The obtained rise height results are vailable online: http://dx.doi.org/10.25534/tudatalib-173

Item Type: Article
Erschienen: 2020
Creators: Gründing, Dirk ; Smuda, Martin ; Antritter, Thomas ; Fricke, Mathis ; Rettenmaier, Daniel ; Kummer, Florian ; Stephan, Peter ; Marschall, Holger ; Bothe, Dieter
Title: A comparative study of transient capillary rise using direct numerical simulations
Language: English
Abstract:

The rise of liquid in capillaries, or between two parallel plates as the 2D variant thereof, represents a challenging test case for two-phase flow solvers without a full analytic solution. Four different numerical approaches are compared for the rise of liquid, also providing reference data being of high relevance for capillarity-dominated wetting processes. The used methods are an Arbitrary Lagrangian–Eulerian method (OpenFOAM solver interTrackFoam), a geometric Volume of Fluid code (FS3D), an algebraic Volume of Fluid method (OpenFOAM solver interFoam), and a level-set based extended discontinuous Galerkin discretization (BoSSS). While the transient rise height shows excellent agreement between the different implementations, the velocity fields at the interface demonstrate a different level of local accuracy of the available approaches. Reducing the slip length reduces the overall dynamics of the system, thus yielding a qualitative change in the rise behavior – a behavior that is not covered by simplified ODE models. The obtained rise height results are vailable online: http://dx.doi.org/10.25534/tudatalib-173

Journal or Publication Title: Applied Mathematical Modelling
Journal volume: 86
Uncontrolled Keywords: Wetting, Capillary rise, Direct numerical simulation, Navier slip, Multiphase flow, Code to code comparison
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD)
16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD) > Interfacial Transport & Complex Wetting
DFG-Collaborative Research Centres (incl. Transregio)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes > Research Area B: Modeling and Simulation
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes > Research Area B: Modeling and Simulation > B01: Modelling and VOF based Simulation of the Multiphysics of Irreversible Thermodynamic Transfer Processes at Dynamic Contact Lines
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes > Research Area B: Modeling and Simulation > B02: Direct Numerical Simulation of Locally Coupled Interface Processes at Dynamic Contact Lines
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes > Research Area B: Modeling and Simulation > B06: Higher Order Schemes for Direct Numerical Simulation for Wetting and De-Wetting Problems based on Discontinuous Galerkin Methods
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes > Research Area C: New and Improved Applications
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 1194: Interaction between Transport and Wetting Processes > Research Area C: New and Improved Applications > C02: Multiscale Investigations of Boiling of Complex Fluids on Complex Surfaces
Profile Areas
Profile Areas > Thermo-Fluids & Interfaces
04 Department of Mathematics
04 Department of Mathematics > Mathematical Modelling and Analysis
Date Deposited: 03 Jun 2020 05:43
DOI: 10.1016/j.apm.2020.04.020
Official URL: http://www.sciencedirect.com/science/article/pii/S0307904X20...
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