On the Beavers–Joseph Interface Condition for Non-parallel Coupled Channel Flow over a Porous Structure at High Reynolds Numbers

Yang, Guang; Coltman, Edward; Weishaupt, Kilian; Terzis, Alexandros; Helmig, Rainer

doi:10.1007/s11242-019-01255-5

Cited by 31 publications

(19 citation statements)

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“…In this paper, we validate the classical interface conditions which are typically applied to solve coupled problems and the conditions derived by homogenisation. Note that both sets of interface conditions have been developed for flows parallel to the interface, however, the classical conditions are often applied for arbitrary flows to the porous medium [32,34].…”

Section: Interface Conditionsmentioning

confidence: 99%

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Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models

et al. 2020

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The correct choice of interface conditions and effective parameters for coupled macroscale free-flow and porous-medium models is crucial for a complete mathematical description of the problem under consideration and for accurate numerical simulation of applications. We consider single-fluid-phase systems described by the Stokes-Darcy model. Different sets of coupling conditions for this model are available. However, the choice of these conditions and effective model parameters is often arbitrary. We use large-scale lattice Boltzmann simulations to validate coupling conditions by comparison of the macroscale simulations against pore-scale resolved models. We analyse three settings (lid-driven cavity over a porous bed, infiltration problem and general filtration problem) with different geometrical configurations (channelised and staggered distributions of solid grains) and different sets of interface conditions. Effective parameters for the macroscale models (permeability tensor, boundary layer constants) are computed numerically for each geometrical configuration. Numerical simulation results demonstrate the sensitivity of the coupled Stokes-Darcy problem to the location of the sharp fluid-porous interface, the effective model parameters and the interface conditions.

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Section: Interface Conditionsmentioning

confidence: 99%

“…There were also several attempts to validate the coupled models and the interface conditions (e.g. [29][30][31][32]). In [33] it is shown that the Beavers-Joseph condition is unsuitable for general filtration problems with arbitrary flows to the interface.…”

Section: Introductionmentioning

confidence: 99%

Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models

et al. 2020

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“…A versatile implementation of cell-centered mpfa-o scheme is now usable with all models [15]. The Navier-Stokes models are redesigned to use a mac scheme on a staggered grid [56,43,53], including a Reynolds-averaged Navier-Stokes model [57,58] with a variety of turbulence models (e.g. k-, k-ω), as well as a second-order upwind scheme.…”

Section: New Features In Dumu Xmentioning

confidence: 99%

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

Koch

Gläser

Weishaupt

et al. 2021

Computers & Mathematics with Applications

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117

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We present version 3 of the open-source simulator for flow and transport processes in porous media DuMu x . DuMu x is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMu x , version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.

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“…1∕ pore corresponds to a local Navier slip length (Navier 1823) and is generally a tensorial (Kamrin et al 2010) and solution-dependent quantity (Yang et al 2019). For certain geometries and flow configurations, it may be obtained by (semi-) analytical (Jeong 2001;Wang 2003;Schönecker and Hardt 2013) expressions which are, however, mathematically involved and often require numerical methods for their solution at some point.…”

Section: Coupling Conditionsmentioning

confidence: 99%

A Hybrid-Dimensional Coupled Pore-Network/Free-Flow Model Including Pore-Scale Slip and Its Application to a Micromodel Experiment

et al. 2020

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Modeling coupled systems of free flow adjacent to a porous medium by means of fully resolved Navier–Stokes equations is limited by the immense computational cost and is thus only feasible for relatively small domains. Coupled, hybrid-dimensional models can be much more efficient by simplifying the porous domain, e.g., in terms of a pore-network model. In this work, we present a coupled pore-network/free-flow model taking into account pore-scale slip at the local interfaces between free flow and the pores. We consider two-dimensional and three-dimensional setups and show that our proposed slip condition can significantly increase the coupled model’s accuracy: compared to fully resolved equidimensional numerical reference solutions, the normalized errors for velocity are reduced by a factor of more than five, depending on the flow configuration. A pore-scale slip parameter $$\beta _{{{{\rm pore}}}}$$ β pore required by the slip condition was determined numerically in a preprocessing step. We found a linear scaling behavior of $$\beta _{{{{\rm pore}}}}$$ β pore with the size of the interface pore body for three-dimensional and two-dimensional domains. The slip condition can thus be applied without incurring any run-time cost. In the last section of this work, we used the coupled model to recalculate a microfluidic experiment where we additionally exploited the flat structure of the micromodel which permits the use of a quasi-3D free-flow model. The extended coupled model is accurate and efficient.

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On the Beavers–Joseph Interface Condition for Non-parallel Coupled Channel Flow over a Porous Structure at High Reynolds Numbers

Cited by 31 publications

References 50 publications

Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models

Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

A Hybrid-Dimensional Coupled Pore-Network/Free-Flow Model Including Pore-Scale Slip and Its Application to a Micromodel Experiment

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