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Modeling fluid flow in fractured porous media: a comparative analysis between Darcy–Darcy model and Stokes–Brinkman model
There are limited comparative studies on modeling fluid transport in fractured porous media. Hence, this paper systematically compares the...
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A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy
A discretization method with non-matching grids is proposed for the coupled Stokes-Darcy problem that uses a mortar variable at the interface to...
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A reduced-order model based on C-R mixed finite element and POD technique for coupled Stokes-Darcy system with solute transport
As we all know, numerically solving nonlinear coupling systems usually requires expensive computational costs. In this paper, we present a novel...
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Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes–Darcy flow problems
Determination of relevant model parameters is crucial for accurate mathematical modelling and efficient numerical simulation of a wide spectrum of...
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A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces
In this article, we develop a reduced basis method for efficiently solving the coupled Stokes/Darcy equations with parametric internal geometry. To...
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The Transition from Darcy to Nonlinear Flow in Heterogeneous Porous Media: I—Single-Phase Flow
Using extensive numerical simulation of the Navier–Stokes equations, we study the transition from the Darcy’s law for slow flow of fluids through a...
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Modified Interfacial Boundary Conditions for the Stokes–Brinkman Flow Model
A modified formulation of the interfacial boundary conditions for the coupling of the Stokes and Brinkman models that describe the incompressible...
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An adaptive discontinuous Galerkin method for the Darcy system in fractured porous media
Modeling flows in fractured porous media is important in applications. One main challenge in numerical simulation is that the flow is strongly...
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Flow Characterization in a Partially Liquefied Vitreous Humor
The purpose of this study is to systematically examine the basic fluid dynamics associated with a fully liquid region within a porous material. This...
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Pore-Scale Study to Analyze the Impacts of Porous Media Heterogeneity on Mineral Dissolution and Acid Transport Using Darcy–Brinkmann–Stokes Method
Inherent pore structure of rocks has a significant impact on the acid–rock interaction during the acidizing process. In this study, a new pore-scale...
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Integrated wellbore-reservoir modeling based on 3D Navier–Stokes equations with a coupled CFD solver
The occurrence of fluid flow near a wellhead is the major concern of the petroleum industry, as pressure drop, loss of formation, and other variables...
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Darcy model with optimized permeability distribution (DMOPD) approach for simulating two-phase flow in karst reservoirs
Darcy model fails to accurately model flow in karst reservoirs because the flow profiles in free-flow regions such as vugs, fractures and caves do...
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Numerical Simulation of Non-Darcy Flow Caused by Cross-Fracture Water Inrush, Considering Particle Loss
A flow erosion model of water inrush was developed that couples the Darcy, Forchheimer, and Navier–Stokes fields under the theory of continuum...
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A New Approach for Predicting the Pressure Drop in Various Types of Metal Foams Using a Combination of CFD and Machine Learning Regression Models
The present study investigates the effects of the geometric properties of porous media on fluid flows and uses a combination of computational fluid...
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Implicit Finite-Volume Scheme to Solve Coupled Saint-Venant and Darcy–Forchheimer Equations for Modeling Flow Through Porous Structures
In hydrodynamic modeling of flow through porous structures, the solution domain might encounter discontinuities. These include, for example, porous...
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A comparative study of 2D numerical simulations using vector and potential methods for extending 3D modeling of planetary evolution
Numerical simulations provide an improved understanding of the evolution and core formation processes of terrestrial bodies. The differentiation of...
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Flows of Two Slightly Miscible Fluids in Porous Media: Two-Scale Numerical Modeling
We address the two-scale homogenization of the Navier–Stokes and Cahn–Hilliard equations in the case of a weak miscibility of a two-component fluid....
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Three-Dimensional Simulations of Subaerial Landslide-Generated Waves: Comparing OpenFOAM and FLOW-3D HYDRO Models
The recent destructive landslide tsunamis, such as the 2018 Anak Krakatau event, were fresh reminders for develo** validated three-dimensional...
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Upscaling and Effective Behavior for Two-Phase Porous-Medium Flow Using a Diffuse Interface Model
We investigate two-phase flow in porous media and derive a two-scale model, which incorporates pore-scale phase distribution and surface tension into...
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Experimental study on fracture infiltration and slurry permeation reduction based on 3D printed visualization models
The seepage and slurry filling permeability reduction laws in rock mass fracture network are investigated through the construction of a...
