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This work introduces a novel application for predicting the macroscopic intrinsic permeability tensor in deformable porous media, using a limited set of micro-CT images of real microgeometries. The primary goal is to develop an efficient,…

Fluid Dynamics · Physics 2025-01-14 Yousef Heider , Fadi Aldakheel , Wolfgang Ehlers

In this paper, we consider the flow of an incompressible fluid in a deformable porous solid. We present a mathematical model using the framework offered by the theory of interacting continua. In its most general form, this framework…

Numerical Analysis · Computer Science 2013-02-27 D. Z. Turner , K. B. Nakshatrala , M. J. Martinez

An extended version of the resolvent formulation is used to evaluate the use of anisotropic porous materials as passive flow control devices for turbulent channel flow. The effect of these porous substrates is introduced into the governing…

Fluid Dynamics · Physics 2021-01-15 Andrew Chavarin , Christoph Efstathiou , Shilpa Vijay , Mitul Luhar

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

Soft Condensed Matter · Physics 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

Recent simulations indicate that streamwise-preferential porous materials have the potential to reduce drag in wall-bounded turbulent flows(Gomez-de-Segura & Garcia-Mayoral 2019). This paper extends the resolvent formulation to study the…

Fluid Dynamics · Physics 2021-03-26 Andrew Chavarin , Garazi Gomez-de-Segura , Ricardo Garcia-Mayoral , Mitul Luhar

This paper carries out a linear stability analysis of a plane Couette flow in a porous layer underlying a fluid layer where the porous layer is anisotropic and inhomogeneous. The plane Couette flow is induced due to the uniform movement of…

Fluid Dynamics · Physics 2023-04-10 Nandita Barman , Anjali Aleria , Premananda Bera

A model function relating effective stress to fracture permeability is developed from Hooke's law, implemented in the tensorial form of Darcy's law, and used to evaluate discharge rates and pressure distributions at regional scales. The…

Fluid Dynamics · Physics 2011-09-15 G. Preisig , F. J. Cornaton , P. Perrochet

The primary goal of this paper is to develop robust methods to handle two ubiquitous features appearing in the modeling of geophysical flows: (i) the anisotropy of the viscous stress tensor, (ii) stratification effects. We focus on the…

Analysis of PDEs · Mathematics 2020-11-05 Edoardo Bocchi , Francesco Fanelli , Christophe Prange

Predicting the long-term success of endovascular interventions in the clinical management of cerebral aneurysms requires detailed insight into the patient-specific physiological conditions. In this work, we not only propose numerical…

Materials' microstructure strongly influences its performance and is thus a critical aspect in design of functional materials. Previous efforts on microstructure mediated design mostly assume isotropy, which is not ideal when material…

Accurate prediction of permeability tensors from pore-scale microstructure images is essential for subsurface flow modeling, yet direct numerical simulation requires hours per sample, fundamentally limiting large-scale uncertainty…

Machine Learning · Computer Science 2026-03-19 Mohammad Nooraiepour

To make progress towards the development of a theory on the motion of inclusions in thin structured films and membranes, we here consider as an initial step a circular disk in a two-dimensional, uniaxially anisotropic fluid layer. We assume…

Soft Condensed Matter · Physics 2024-09-02 Abdallah Daddi-Moussa-Ider , Elsen Tjhung , Thomas Richter , Andreas M. Menzel

We report results of dissipative particle dynamics simulations and develop a semi-analytical theory of an anisotropic flow in a parallel-plate channel with two superhydrophobic striped walls. Our approach is valid for any local slip at the…

Fluid Dynamics · Physics 2015-06-04 Jiajia Zhou , Aleksey V. Belyaev , Friederike Schmid , Olga I. Vinogradova

In a porous medium featuring heterogeneous permeabilities, a wide range of fluid velocities may be recorded, so that significant inertial and frictional effects may arise in high-speed regions. In such parts, the link between pressure…

Numerical Analysis · Mathematics 2024-08-02 Chiara Giovannini , Alessio Fumagalli , Francesco Patacchini

Boundary conditions at the interface between the free-flow region and the adjacent porous medium is a key issue for physically consistent modeling and accurate numerical simulation of flow and transport processes in coupled systems due to…

Numerical Analysis · Mathematics 2020-06-23 Elissa Eggenweiler , Iryna Rybak

We present a flexible scalable open-source computational framework, named SECUReFoam, based on the finite-volume library OpenFOAM(R), for flow and transport problems in highly heterogeneous geological media and other porous materials. The…

Numerical Analysis · Mathematics 2022-12-22 Matteo Icardi , Eugenio Pescimoro , Federico Municchi , Juan H Hidalgo

We design a numerical approximation of a system of partial differential equations modelling the miscible displacement of a fluid by another in a porous medium. The advective part of the system is discretised using a characteristic method,…

Numerical Analysis · Mathematics 2018-08-23 Hanz Martin Cheng , Jerome Droniou

We attempt to formalise the relationship between the poroelasticity theory and the effective medium theory of micromechanics. The assumptions of these two approaches vary, but both can be linked by considering the undrained response of a…

Geophysics · Physics 2023-03-09 Filip P. Adamus , David Healy , Philip G. Meredith , Thomas M. Mitchell

We present benchmark computations of dynamic poroelasticity modeling fluid flow in deformable porous media by a coupled hyperbolic-parabolic system of partial differential equations. A challenging benchmark setting and goal quantities of…

Numerical Analysis · Mathematics 2023-07-06 Mathias Anselmann , Markus Bause , Nils Margenberg , Pavel Shamko

We explore the ability of anisotropic permeable substrates to reduce turbulent skin-friction, studying the influence that these substrates have on the overlying turbulence. For this, we perform DNSs of channel flows bounded by permeable…

Fluid Dynamics · Physics 2020-07-21 Garazi Gómez-de-Segura , Ricardo García-Mayoral