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A comparative study of transient capillary rise using direct numerical simulations

Gründing, Dirk and Smuda, Martin and Antritter, Thomas and Fricke, Mathis and Rettenmaier, Daniel and Kummer, Florian and Stephan, Peter and Marschall, Holger and 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 and Smuda, Martin and Antritter, Thomas and Fricke, Mathis and Rettenmaier, Daniel and Kummer, Florian and Stephan, Peter and Marschall, Holger and 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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