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Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport, interfacial dynamics, reactive transformations, and…

Fluid Dynamics · Physics 2025-10-08 Na Liu , Jakub Wiktor Both , Geir Ersland , Jan Martin Nordbotten , Martin Fernø

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner

Our goal of this paper is to develop a new upscaling method for multicontinua flow problems in fractured porous media. We consider a system of equations that describes flow phenomena with multiple flow variables defined on both matrix and…

Numerical Analysis · Mathematics 2018-07-17 Maria Vasilyeva , Eric T. Chung , Siu Wun Cheung , Yating Wang , Georgy Prokopev

In this work, we present an upscaled model for mixed dimensional coupled flow problem in fractured porous media. We consider both embedded and discrete fracture models (EFM and DFM) as fine scale models which contain coupled system of…

Numerical Analysis · Mathematics 2018-05-25 Maria Vasilyeva , Eric T. Chung , Wing Tat Leung , Valentin Alekseev

We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model,…

Numerical Analysis · Mathematics 2023-08-08 Samuel Burbulla , Maximilian Hörl , Christian Rohde

We study the mixing in the presence of convective flow in a porous medium. Convection is characterized by the formation of vortices and stagnation points, where the fluid interface is stretched and compressed enhancing mixing. We analyze…

Fluid Dynamics · Physics 2018-02-14 Juan J. Hidalgo , Marco Dentz

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Stochastic modeling has become a popular approach to quantify uncertainty in flows through heterogeneous porous media. The uncertainty in heterogeneous structure properties is often parameterized by a high-dimensional random variable. This…

Numerical Analysis · Mathematics 2013-10-22 Lijian Jiang , J. David Moulton , Jia Wei

Multiphysics processes in fractured porous media is a research field of importance for several subsurface applications and has received considerable attention over the last decade. The dynamics are characterised by strong couplings between…

Numerical Analysis · Mathematics 2023-08-09 Ivar Stefansson , Jhabriel Varela , Eirik Keilegavlen , Inga Berre

In this paper, we introduce a mortar-based approach to discretizing flow in fractured porous media, which we term the mixed-dimensional flux coupling scheme. Our formulation is agnostic to the discretizations used to discretize the fluid…

Numerical Analysis · Mathematics 2019-08-01 Jan M. Nordbotten , Wietse M. Boon , Alessio Fumagalli , Eirik Keilegavlen

Accurate representation of interfaces and flux exchange is vital for coupled multiphysics simulations across a broad range of applications. Currently, coupling approaches are limited by the underlying discretization or to specific physical…

Fluid Dynamics · Physics 2026-03-10 Ethan Huff , Savio J. Poovathingal

We introduce fluctuating hydrodynamics approaches on surfaces for capturing the drift-diffusion dynamics of particles and microstructures immersed within curved fluid interfaces of spherical shape. We take into account the interfacial…

Soft Condensed Matter · Physics 2023-10-24 David Rower , Misha Padidar , Paul J. Atzberger

This paper presents a unified and computationally efficient framework for predicting incompressible, irrotational (potential) flow around multiple immersed bodies in two-dimensional domains, with particular emphasis on quantifying…

Fluid Dynamics · Physics 2025-12-16 Anil Lal S , Mannu Yadav

In this paper, we describe a soil-fluid-structure interaction model that combines soil mechanics (saturated sediments), fluid mechanics (seawater or air), and solid mechanics (structures). The formulation combines the Material Point Method,…

Numerical Analysis · Mathematics 2022-11-24 Quoc Anh Tran , Gustav Grimstad , Seyed Ali Ghoreishian Amiri

We introduce a partitioned coupling approach for iterative coupling of flow processes in deformable fractures embedded in a poro-elastic medium that is enhanced by interface quasi-Newton (IQN) methods. In this scope, a unique computational…

Geophysics · Physics 2022-01-31 Patrick Schmidt , Alexander Jaust , Holger Steeb , Miriam Schulte

Interactions between an evolving solid and inviscid flow can result in substantial computational complexity, particularly in circumstances involving varied boundary conditions between the solid and fluid phases. Examples of such…

Fluid Dynamics · Physics 2022-09-30 Emma M. Schmidt , J. Matt Quinlan , Brandon Runnels

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

Drops on a free-flow/porous-medium-flow interface have a strong influence on the exchange of mass, momentum and energy between the two macroscopic flow regimes. Modeling droplet-related pore-scale processes in a macro-scale context is…

Computational Physics · Physics 2021-03-17 Sina Ackermann , Carina Bringedal , Rainer Helmig

In this work we formulate and test a new procedure, the Multiscale Perturbation Method for Two-Phase Flows (MPM-2P), for the fast, accurate and naturally parallelizable numerical solution of two-phase, incompressible, immiscible…

Numerical Analysis · Mathematics 2023-04-10 Franciane F. Rocha , Het Mankad , Fabricio S. Sousa , Felipe Pereira