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Experimental and Computational Multiphase Flow 2023, 5(2): 159-177 https://doi.org/10.1007/s42757-022-0133-y
Research Article | Open Access | Issue | Published: 22 June 2022

Assessment of simplified momentum equations for free surface flows through rigid porous media

Show Author's Information Wibke Düsterhöft-Wriggers1( ),  Antonia Larese2,  Eugenio Oñate3,4,  Thomas Rung1
Hamburg University of Technology, Hamburg, Germany
Università degli Studi di Padova, Padova, Italy
International Center for Numerical Methods in Engineering, CIMNE, Barcelona, Spain
Universitat Politécnica de Catalunya, Barcelona, Spain
Keywords:
Volume of Fluid (VoF), computational fluid dynamics (CFD), porous media, accuracy, free surface flow, simplified momentum equations
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Düsterhöft-Wriggers W, Larese A, Oñate E, et al. Assessment of simplified momentum equations for free surface flows through rigid porous media. Experimental and Computational Multiphase Flow, 2023, 5(2): 159-177. https://doi.org/10.1007/s42757-022-0133-y
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Abstract Full text About this article

In many applications, free surface flow through rigid porous media has to be modeled. Examples refer to coastal engineering applications as well as geotechnical or biomedical applications. Albeit the frequent applications, slight inconsistencies in the formulation of the governing equations can be found in the literature. The main goal of this paper is to identify these differences and provide a quantitative assessment of different approaches. Following a review of the different formulations, simulation results obtained from three alternative formulations are compared with experimental and numerical data. Results obtained by 2D and 3D test cases indicate that the predictive differences returned by the different formulations remain small for most applications, in particular for small porous Reynolds number ReP < 5000. Thus it seems justified to select a simplified formulation that supports an efficient algorithm and coding structure in a computational fluid dynamics environment. An estimated accuracy depending on the porous Reynolds number or the mean grain diameter is given for the simplified formulation.


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Assessment of simplified momentum equations for free surface flows through rigid porous media

Show Author's information Wibke Düsterhöft-Wriggers1( ), Antonia Larese2, Eugenio Oñate3,4, Thomas Rung1
Hamburg University of Technology, Hamburg, Germany
Università degli Studi di Padova, Padova, Italy
International Center for Numerical Methods in Engineering, CIMNE, Barcelona, Spain
Universitat Politécnica de Catalunya, Barcelona, Spain

Abstract

In many applications, free surface flow through rigid porous media has to be modeled. Examples refer to coastal engineering applications as well as geotechnical or biomedical applications. Albeit the frequent applications, slight inconsistencies in the formulation of the governing equations can be found in the literature. The main goal of this paper is to identify these differences and provide a quantitative assessment of different approaches. Following a review of the different formulations, simulation results obtained from three alternative formulations are compared with experimental and numerical data. Results obtained by 2D and 3D test cases indicate that the predictive differences returned by the different formulations remain small for most applications, in particular for small porous Reynolds number ReP < 5000. Thus it seems justified to select a simplified formulation that supports an efficient algorithm and coding structure in a computational fluid dynamics environment. An estimated accuracy depending on the porous Reynolds number or the mean grain diameter is given for the simplified formulation.

Keywords: Volume of Fluid (VoF), computational fluid dynamics (CFD), porous media, accuracy, free surface flow, simplified momentum equations

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Received: 30 November 2021
Revised: 22 February 2022
Accepted: 09 March 2022
Published: 22 June 2022
Issue date: June 2023

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© The Author(s) 2022

Acknowledgements

The authors acknowledge the support within the research project "LiquefAction - Cargo Liquefaction in Ship Design and Operation" (Grant No. FKZ 03SX363A). Selected computations were performed with resources provided by the North-German Super-computing Alliance (HLRN). E. Oñate acknowledges the support from the PARAFLUIDS project (PID2019-104528RB-I00) and the "Severo Ochoa Programme for Centres of Excellence in R&D" (CEX2018-000797-S) of the Spanish Government, and from the CERCA programme of the Generalitat de Catalunya. Prof. Larese gratefully acknowledges the support of the MIUR for her Rita Levi Montalcini fellowship (bando 2016), INDAM, and the funding by the Technical University of Munich - Institute for Advanced Study.

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