Kazemi, E. orcid.org/0000-0002-1780-1846, Tait, S. and Shao, S. (2020) SPH based numerical treatment of the interfacial interaction of flow with porous media. International Journal for Numerical Methods in Fluids, 92 (4). pp. 219-245. ISSN 0271-2091
Abstract
In this paper, the macroscopic equations of mass and momentum are developed and discretised based on the Smoothed Particle Hydrodynamics (SPH) formulation for the interaction at an interface of flow with porous media. The theoretical background of flow through porous media is investigated in order to highlight the key constraints which should be satisfied, particularly at the interface between the porous media flow and the overlying free flow. The study aims to investigate the derivation of the porous flow equations, computation of the porosity, and treatment of the interfacial boundary layer. It addresses weak assumptions that are commonly adopted for interfacial flow simulation in particle‐based methods. As support to the theoretical analysis, a 2D weakly compressible SPH (WCSPH) model is developed based on the proposed interfacial treatment. The equations in this model are written in terms of the intrinsic averages and in the Lagrangian form. The effect of particle volume change due to the spatial change of porosity is taken into account and the extra stress terms in the momentum equation are approximated by using Ergun's equation and the Sub‐Particle Scale (SPS) model to represent the drag and turbulence effects, respectively. Four benchmark test cases covering a range of flow scenarios are simulated to examine the influence of the porous boundary on the internal, interface and external flow. The capacity of the modified SPH model to predict velocity distributions and water surface behaviour is fully examined with a focus on the flow conditions at the interfacial boundary between the overlying free flow and the underlying porous media.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 John Wiley & Sons Ltd. This is an author-produced version of a paper subsequently published in International Journal for Numerical Methods in Fluids. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | SPH; porous media; interfacial flow; fluid-solid interaction; intrinsic average; free surface flow |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Funding Information: | Funder Grant number European Commission - FP6/FP7 FP7 HYTECH 316546 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 28 Oct 2019 11:14 |
Last Modified: | 17 Dec 2021 09:50 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1002/fld.4781 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:152675 |