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Research Article | Open Access

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

Wibke Düsterhöft-Wriggers1( )Antonia Larese2Eugenio Oñate3,4Thomas 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
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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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Experimental and Computational Multiphase Flow
Pages 159-177
Cite this article:
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.








Web of Science




Received: 30 November 2021
Revised: 22 February 2022
Accepted: 09 March 2022
Published: 22 June 2022
© The Author(s) 2022

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