A Nonequilibrium Finite-Volume Model for Conjugate Fluid/Porous/Solid Domains

Betchen, Lee J.; Straatman, Anthony G.; Thompson, Brian E.

doi:10.1080/10407780500430967

Cited by 107 publications

(67 citation statements)

References 18 publications

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“…The Rhie-Chow interpolation as described previously has been shown to result in spurious pressure and velocity oscillations in the vicinity of discontinuities in porous properties or in general large source terms in the governing equations [7,8,10,12]. There are two reasons why Rhie-Chow interpolation fails and we will dedicate some space to clarify these.…”

Section: Pressure-velocity Decoupling For Discontinuous Body Forcesmentioning

confidence: 99%

“…(21) an alternative approach presents itself: if the pressure at the interface would be adapted, the balance between the pressure gradient and the body force terms could be achieved as well. This approach was previously explored by [7] and [11], where special face pressure interpolation schemes were introduced to accurately estimate the interface pressure. Since such interface pressure values are derived to account for the influence of the local jump in the body force across the interface, the pressure at the interface is referred to as consistent with the resistivity jump.…”

Section: Face Consistent Pressure Piso Algorithmmentioning

confidence: 99%

“…The proposed algorithms are successfully compared with published data for the velocity and pressure fields for incompressible, isothermal flow through a porous plug [7] and for flow parallel to a porous region, i.e., the so-called Beavers-Joseph problem [16]. These problems are used as benchmarks, since their particular geometry is known to cause oscillatory solutions in case standard interpolation methods are used for the resistivity term.…”

Section: Introductionmentioning

confidence: 99%

“…Since such interface pressure values are derived to account for the influence of the local jump in the body force across the interface, the pressure at the interface is referred to as consistent with the resistivity jump. Schemes in [7] and [11] require either explicit corrections based on the mass flux or extrapolations of the cell-centered pressure from either side of the interface.…”

Section: Face Consistent Pressure Piso Algorithmmentioning

confidence: 99%

“…The occurrence of spurious oscillations is particularly pronounced when segregated algorithms are applied, in which the velocity and pressure equations are solved separately and an iterative solution process is required. Numerical schemes that avoid spurious oscillations at sharp interfaces were proposed by [7] and [8] for both structured and unstructured grids using a collocated variable, finite volume block-coupled solver. In this case pressure and velocity are solved simultaneously.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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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Section: Pressure-velocity Decoupling For Discontinuous Body Forcesmentioning

confidence: 99%

Section: Face Consistent Pressure Piso Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Face Consistent Pressure Piso Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Lee

Zeng

et al. 2006

Numerical Methods in Fluids

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Abstract:A numerical model was developed for flows involving an interface between a homogenous fluid and a porous medium. The numerical model is based on the finite volume method with body-fitted and multi-block grids. The Darcy-Forchheimer extended model is used to govern the flow in the porous medium region. At its interface, a shear stress jump was imposed, together with a continuity of normal stress. Furthermore, the effect of the jump condition on the diffusive flux is considered, additional to that on the convective part which has been usually considered. Numerical results of three flow configurations are presented. The modeling is suitable for problems which have complex interface boundary conditions coupling between two flow domains.

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A numerical method for forced convection in porous and homogeneous fluid domains coupled at interface by stress jump

Chen

Winoto

Low

2007

Numerical Methods in Fluids

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SUMMARYA numerical method was developed for flows involving an interface between a homogeneous fluid and a porous medium. It is based on the finite volume method with body-fitted and multi-block grids. The Brinkman-Forcheimmer extended model was used to govern the flow in the porous medium region. At its interface, the flow boundary condition imposed is a shear stress jump, which includes the inertial effect, together with a continuity of normal stress. The thermal boundary condition is continuity of temperature and heat flux.The forced convection through a porous insert over a backward-facing step is investigated. The results are presented with flow configurations for different Darcy numbers, 10 −2 to 10 −5 , porosity from 0.2 to 0.8, Reynolds number from 10 to 800, and the ratio of insert length to channel height from 0.1 to 0.3. The heat transfer is improved by using porous insert. To enhance the heat transfer with minimal frictional losses, it is preferable to have a medium length of insert with medium Darcy number, and larger Reynolds number. The interfacial stress jump coefficients and 1 were varied from −1 to 1, and within this range the average and local lower-wall Nusselt numbers are not sensitive to the parameters.

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A Nonequilibrium Finite-Volume Model for Conjugate Fluid/Porous/Solid Domains

Cited by 107 publications

References 18 publications

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

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

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

A numerical method for forced convection in porous and homogeneous fluid domains coupled at interface by stress jump

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