A numerical method for flows in porous and homogenous fluid domains coupled at the interface by stress jump

Yu, Peng; Lee, T. S.; Zeng, Yan; Low, H. T.

doi:10.1002/fld.1383

Cited by 57 publications

(49 citation statements)

References 24 publications

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“…We refer to [10], [13], [14], [27], [36] and references therein. In such setting, the authors used general interface conditions introduced by Ochoa-Tapia and Whitaker in [29].…”

Section: Introductionmentioning

confidence: 99%

Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

Carraro

Goll

Marciniak-Czochra

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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It is generally accepted that the effective velocity of a viscous flow over a porous bed satisfies the Beavers-Joseph slip law. To the contrary, in the case of a forced infiltration of a viscous fluid into a porous medium the interface law has been a subject of controversy. In this paper, we prove rigorously that the effective interface conditions are: (i) the continuity of the normal effective velocities; (ii) zero Darcy's pressure and (iii) a given slip velocity. The effective tangential slip velocity is calculated from the boundary layer and depends only on the pore geometry. In the next order of approximation, we derive a pressure slip law. An independent confirmation of the analytical results using direct numerical simulation of the flow at the microscopic level is given, as well.

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“…We refer to [10], [13], [14], [27], [36] and references therein. In such setting, the authors used general interface conditions introduced by Ochoa-Tapia and Whitaker in [29].…”

Section: Introductionmentioning

confidence: 99%

Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

Carraro

Goll

Marciniak-Czochra

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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show abstract

“…(2) to (5) the closure terms suggested in [17,18] were adopted and local thermal non-equilibrium between the two phases was assumed. This is to illustrate that the so-called one-domain approach [19] is taken, solving the described equations for the entire fluid-porous domain, rather than splitting the domain into parts which are governed by multiple sets of equations and imposing interfacial boundary conditions in places where they merge. In the next section the discretization of the volume-averaged governing equations for the fluid flow in conjugate fluid-porous domains is presented.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Note that the reciprocal porosity in the convective term of (19) has been moved outside of the sum to avoid interpolation of the discontinuous porosity to the cell-faces. This approximation is relevant only at the interface, and is generally small in character since porosity values are bounded between 0 and 1.…”

Section: Modified Rhie-chow Interpolation For Discontinuous Body Forcesmentioning

confidence: 99%

Improved PISO algorithms for modeling density varying flow in conjugate fluid–porous domains

Nordlund

Stanić

Kuczaj

et al. 2016

Journal of Computational Physics

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Two modified segregated PISO algorithms are proposed, which are constructed to avoid the development of spurious oscillations in the computed flow near sharp interfaces of conjugate fluid-porous domains. The new collocated finite volume algorithms modify the Rhie-Chow interpolation to maintain a correct pressure-velocity coupling when large discontinuous momentum sources associated with jumps in the local permeability and porosity are present. The Re-Distributed Resistivity (RDR) algorithm is based on spreading flow resistivity over the grid cells neighboring a discontinuity in material properties of the porous medium. The Face Consistent Pressure (FCP) approach derives an auxiliary pressure value at the fluid-porous interface using momentum balance around the interface. Such derived pressure correction is designed to avoid spurious oscillations as would otherwise arise with a strictly central discretization. The proposed algorithms are successfully compared against published data for the velocity and pressure for two reference cases of viscous flow. The robustness of the proposed algorithms is additionally demonstrated for strongly reduced viscosity, i.e., higher Reynolds number flows and low Darcy numbers, i.e., low permeability of the porous regions in the domain, for which solutions without unphysical oscillations are computed. Both RDR and FCP are found to accurately represent porous media flow near discontinuities in material properties on structured grids.

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“…The SIMPLEC method is adopted for pressure and velocity coupling. The detailed numerical procedures on discretization can be found in the works of Ferziger and Perić (17) and Yu et al (18) .…”

Section: Journal Of Thermal Science and Technologymentioning

confidence: 99%

Transient Behaviour of Natural Convection in a Reservoir Model Induced by Surface Heating

Patterson

Lei

2012

JTST

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We perform detailed numerical simulations of natural convection in a reservoir model induced by surface heating. The transient behaviour of the flow, including streamlines, isotherms, surface velocity profiles, volumetric flow rates, heat transfer rates, and temperature averaged over the local water depth are presented at different Rayleigh numbers. At an instantaneous time within the sloping bottom region, the surface velocity initially increases and then decreases with an increase of the offshore distance. Over a certain range of Rayleigh numbers, the location of the peak surface velocity may initially move in the offshore direction and then retract with the elapse of time. The point at which the rates of horizontal conduction and convection balance also retracts towards the tip region with the elapse of time. Some insight into understanding the mechanisms that drive the flow is provided according to the detailed transient behaviour of the flow.

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A numerical method for flows in porous and homogenous fluid domains coupled at the interface by stress jump

Cited by 57 publications

References 24 publications

Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization

Improved PISO algorithms for modeling density varying flow in conjugate fluid–porous domains

Transient Behaviour of Natural Convection in a Reservoir Model Induced by Surface Heating

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