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Development of a predictive mathematical model for coupled stokes/Darcy flows in cross-flow membrane filtration

N.S. Hanspal, A.N. Waghode, V. Nassehi, R.J. Wakeman
2009 Chemical Engineering Journal  
Development of a predictive mathematical model for coupled stokes/Darcy ows in cross-ow membrane ltration.  ...  Abstract 18 Free flow regimes accompanied by porous walls feature commonly in a variety of natural processes 19 and industrial applications such as groundwater flows, packed beds, arterial blood flows  ...  For the implied boundary conditions, the simulated velocity field over the 458 domain with the permeability of the porous medium of the value of 10the high permeability of the porous regime, the free/porous  ... 
doi:10.1016/j.cej.2008.10.012 fatcat:o4vjq5pdybg6nemonnq2vmfm4y

Large scale lattice Boltzmann simulation for the coupling of free and porous media flow [article]

Ehsan Fattahi, Christian Waluga, Barbara Wohlmuth, Ulrich Rüde
2015 arXiv   pre-print
In this work, we investigate the interaction of free and porous media flow by large scale lattice Boltzmann simulations.  ...  We comment on computational aspects of the pore-scale simulation and on how to generate pore-scale geometries.  ...  Acknowledgement Financial support from the German Research Foundation (DFG, Project WO 671/11-1) and also the International Graduate School of Science and Engineering (IGSSE) of the Technische Universität  ... 
arXiv:1507.06565v1 fatcat:rhfpdxejgbh6fmtzhjdwejyore

Computation of the Beavers-Joseph slip coefficient for coupled Stokes/Darcy problems [article]

Paula Strohbeck, Elissa Eggenweiler, Iryna Rybak
2021 arXiv   pre-print
by coupled free-flow and porous-medium problems.  ...  Physically consistent coupling conditions at the fluid-porous interface with correctly determined effective parameters are necessary for accurate mathematical modeling of various applications described  ...  Assumptions on geometry and flow We consider fluid flow in the coupled domain Ω = Ω ff ∪ Ω pm consisting of the free-flow region Ω ff ⊂ R 2 and the porous medium Ω pm ⊂ R 2 .  ... 
arXiv:2106.15556v1 fatcat:5govcylxwzctdjrngvbbp5cbhq

Lattice Boltzmann simulation of solute transport in heterogeneous porous media with conduits to estimate macroscopic continuous time random walk model parameters

Shadab Anwar, Andrea Cortis, Michael C. Sukop
2008 Progress in Computational Fluid Dynamics, An International Journal  
Porous media are simulated by damping flow inertia and, when the damping is large enough, a Darcy's Law solution instead of the Navier-Stokes solution normally provided by the lattice Boltzmann model is  ...  Lattice Boltzmann models simulate solute transport in porous media traversed by conduits. Resulting solute breakthrough curves are fitted with Continuous Time Random Walk models.  ...  Acknowledgements The authors are grateful to an anonymous reviewer for expert and insightful suggestions that have improved the quality of this manuscript The authors are thankful to Dr Thorne for technical  ... 
doi:10.1504/pcfd.2008.018092 fatcat:ceig6juajzb5dbzyrjuyzv5to4

Computational Modeling of Coupled Free and Porous Media Flow for Membrane-based Filtration Systems: A Review

Antonios Parasyris, Christopher Brady, Diganta Bhusan Das, Marco Discacciati
2019 Journal of Applied Membrane Science & Technology  
geometrically lower-dimensional entity due to its small thickness compared to the free flow domain; (c) mesoscopic, if the characteristic geometrical dimension of the free flow domain and the porous domain  ...  is the same, and a multi-physics problem involving both incompressible fluid flow and porous media flow is considered.  ...  Furthermore, [81] relates to the slip coefficient on the interface between a free fluid and a porous medium.  ... 
doi:10.11113/amst.v23n3.158 fatcat:ynezlc3yd5gkreisewdd2sklbe

Effect of Turbulence and Roughness on Coupled Porous-Medium/Free-Flow Exchange Processes

Thomas Fetzer, Kathleen M. Smits, Rainer Helmig
2016 Transport in Porous Media  
A sensitivity analysis of the evaporation rate and porous-medium quantities on different model setups, boundary conditions, Beavers-Joseph coefficients, and roughness lengths is performed.  ...  The interactions between turbulent free flow and flow in a porous medium are of key interest in different fields, e.g., meteorology, agriculture, building physics, and aerospace engineering.  ...  , and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.  ... 
doi:10.1007/s11242-016-0654-6 fatcat:umnsjylnh5e5fd7njmbkk2lxqi

Unsuitability of the Beavers–Joseph interface condition for filtration problems

Elissa Eggenweiler, Iryna Rybak
2020 Journal of Fluid Mechanics  
Coupled free-flow and porous-medium systems appear in a variety of industrial and environmental applications.  ...  The correct choice of coupling conditions on the fluid-porous interface is crucial for accurate numerical simulations of coupled problems.  ...  Declaration of interests The authors report no conflict of interest.  ... 
doi:10.1017/jfm.2020.194 fatcat:vp2fqgl2mvh4xkl3qnu6frof7i

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

Iryna Rybak, Christoph Schwarzmeier, Elissa Eggenweiler, Ulrich Rüde
2020 Computational Geosciences  
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.  ...  The authors thank Ivan Yotov, Jim Magiera and Christoph Rettinger for the valuable discussions.  ... 
doi:10.1007/s10596-020-09994-x fatcat:eft6g2yr5nb37jrw4ykveyzgnm

A novel one-domain approach for modeling flow in a fluid-porous system including inertia and slip effects

F. J. Valdés-Parada, D. Lasseux
2021 Physics of Fluids  
A novel one-domain approach for modeling flow in a fluid-porous system including inertia and slip effects.  ...  ABSTRACT A new one-domain approach is developed in this work yielding an operational average description of one-phase flow in the classical Beavers and Joseph configuration including a porous medium topped  ...  ACKNOWLEDGMENTS The authors are thankful to A. Terzis for providing the experimental data used for the comparison with the model. D.L. is thankful to ANR for the support of Project No.  ... 
doi:10.1063/5.0036812 fatcat:ww7ck424qfdzbk2e6n4kv42qye

Modeling porous coastal structures using a level set method based VRANS-solver on staggered grids

Athul Sasikumar, Arun Kamath, Hans Bihs
2020 Coastal Engineering Journal  
In this paper, the interaction of waves with porous coastal structures using an opensource computational fluid dynamics (CFD) model is presented.  ...  New interpolation schemes required for the VRANS equations on a staggered grid are implemented.  ...  These factors depend on the fluid viscosity, the specific granular composition of the porous medium and the flow regime.  ... 
doi:10.1080/21664250.2020.1734412 fatcat:qvoid3wnbzfslffzc2wpildwwa

Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems

Iryna Rybak, Jim Magiera, Rainer Helmig, Christian Rohde
2015 Computational Geosciences  
A multiple-time-step scheme is developed for solving coupled single-phase free flow and two-fluid-phase porous medium problems.  ...  Numerical simulation results are presented for a model problem and a realistic setting that demonstrate the convergence and efficiency of the proposed computational algorithm.  ...  These flow systems contain different sets of entities (pure fluid in the free flow domain, fluids and solid in the porous medium region) that require a separate model for each flow system and an accurate  ... 
doi:10.1007/s10596-015-9469-8 fatcat:b6w4c6r45valhgd4gdzccujezm

High-Rayleigh-number convection in porous–fluid layers

Thomas Le Reun, Duncan R. Hewitt
2021 Journal of Fluid Mechanics  
Numerical simulations are carried out using a single-domain formulation of the two-layer problem based on the Darcy-Brinkman equations.  ...  We present a numerical study of convection in a horizontal layer comprising a fluid-saturated porous bed overlain by an unconfined fluid layer.  ...  the pressure, while in the porous layer, the flux instead obeys Darcy's law, U = K μ (−∇P + ρg). (2.4) We simulate the two-layer system using a one-domain approach in which both porous and unconfined fluid  ... 
doi:10.1017/jfm.2021.449 fatcat:cdnt5osfkbgqnfh7ierr5qvqba

GeoChemFoam: Direct Modelling of flow and heat transfer in micro-CT images of porous media [article]

Julien Maes, Hannah P. Menke
2021 arXiv   pre-print
Our model is validated by comparison with the standard two-medium approach for a simple 2D geometry.  ...  In this paper, we present GeoChemFoam's novel numerical model for simulation of conjugate heat transfer in micro-CT images of porous media.  ...  Our model uses a single-field formulation based on the micro-continuum approach to solve the velocity field in the full domain, including the fluid and solid domains, using the Brinkman equation.  ... 
arXiv:2110.03311v1 fatcat:kjbqpwlndfat3hpbuzs6jbd22e

High-Rayleigh-number convection in porous-fluid layers [article]

Thomas Le Reun, Duncan R. Hewitt
2021 arXiv   pre-print
Numerical simulations are carried out using a single-domain formulation of the two-layer problem based on the Darcy-Brinkman equations.  ...  We present a numerical study of convection in a horizontal layer comprising a fluid-saturated porous bed overlain by an unconfined fluid layer.  ...  The authors are grateful to Eric Hester for his help in implementing the code D .  ... 
arXiv:2012.09480v2 fatcat:zjz6utyn5rc55iczamtua2cx7u

A framework for computing effective boundary conditions at the interface between free fluid and a porous medium

Uǧis Lācis, Shervin Bagheri
2017 Journal of Fluid Mechanics  
Interfacial boundary conditions determined from empirical orad hocmodels remain the standard approach to model fluid flows over porous media, even in situations where the topology of the porous medium  ...  free flow and porous medium.  ...  Acknowledgements U.L. and S.B. acknowledges the financial support from the Swedish Research Council (VR-2014-5680). We also thank Professor A. Bottaro, Drs G. A. Zampogna and S.  ... 
doi:10.1017/jfm.2016.838 fatcat:jvhhgphxdbgp7m6pds5gplkorq
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