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Porous media with hierarchical structures are commonly encountered in both natural and synthetic materials, e.g., fractured rock formations, porous electrodes and fibrous materials, which generally consist of two or more distinguishable…

Soft Condensed Matter · Physics 2020-03-18 Si Suo , Mingchao Liu , Yixiang Gan

In this paper a new primal-dual mixed finite element method is introduced, aimed to model multiscale problems with several geometric subregions in the domain of interest. In each of these regions porous media fluid flow takes place, but…

Numerical Analysis · Mathematics 2020-08-21 Fernando A Morales

Soft particles such as microgels and core-shell particles can undergo significant and anisotropic deformations when adsorbed to a liquid interface. This, in turn, leads to a complex phase behavior upon compression. Here we develop a…

We study the dynamics of flow-networks in porous media using a pore-network model. First, we consider a class of erosion dynamics assuming a constitutive law depending on flow rate, local velocities, or shear stress at the walls. We show…

Fluid Dynamics · Physics 2022-06-22 Ahmad Zareei , Deng Pan , Ariel Amir

Applications of deep learning to physical simulations such as Computational Fluid Dynamics have recently experienced a surge in interest, and their viability has been demonstrated in different domains. However, due to the highly complex,…

Machine Learning · Computer Science 2025-03-19 Giuseppe Bruni , Sepehr Maleki , Senthil K. Krishnababu

Unstructured meshes are among the most versatile approaches for capturing non-canonical geometries in fluid dynamics simulations. Despite this, most high-fidelity first-principles phase-change models are developed and applied on structured…

Computational Physics · Physics 2026-04-17 Jan Kren , Bojan Ničeno , Yohei Sato

3D bicontinuous two-phase materials are increasingly gaining interest because of their unique multifunctional characteristics and advancements in techniques to fabricate them. Due to their complex topological and structural properties, it…

Materials Science · Physics 2024-07-09 Salvatore Torquato , Jaeuk Kim

This study introduces an open-source computational framework for the generation and permeability evaluation of synthetic porous media. The proposed methodology integrates crystallographic and meshing tools to construct controlled…

Tissues and Organs · Quantitative Biology 2025-02-21 Thomas Lavigne , Camilo Andrés Suarez Afanador , Anas Obeidat , Stéphane Urcun

In a string of recent papers starting with (Transport in Porous Media, 125, 565 (2018)), a theory of immiscible two-phase flow in porous media based on Euler homogeneity of the total volumetric flow rate has been investigated. The…

Fluid Dynamics · Physics 2025-02-10 Håkon Pedersen

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

Soft porous materials, such as biological tissues and soils, are exposed to periodic deformations in a variety of natural and industrial contexts. The detailed flow and mechanics of these deformations have not yet been systematically…

Fluid Dynamics · Physics 2023-06-30 Matilde Fiori , Satyajit Pramanik , Christopher W. MacMinn

We derive an upscaled model describing the aggregation and deposition of colloidal particles within a porous medium allowing for the possibility of local clogging of the pores. At the level of the pore scale, we extend an existing model for…

Analysis of PDEs · Mathematics 2019-11-19 Adrian Muntean , Christos V. Nikolopoulos

Computational fluid dynamics (CFD) provides high-fidelity simulations of fluid flows but remains computationally expensive for many-query applications. In recent years deep learning (DL) has been used to construct data-driven fluid-dynamic…

Machine Learning · Computer Science 2026-04-13 David Ramos , Lucas Lacasa , Fermín Gutiérrez , Eusebio Valero , Gonzalo Rubio

We propose a novel deep learning framework for predicting permeability of porous media from their digital images. Unlike convolutional neural networks, instead of feeding the whole image volume as inputs to the network, we model the…

Image and Video Processing · Electrical Eng. & Systems 2021-10-13 Ali Kashefi , Tapan Mukerji

Three-dimensional (3D) instabilities on a (potentially turbulent) two-dimensional (2D) flow are still incompletely understood, despite recent progress. Here, based on known physical properties of such 3-D instabilities, we propose a simple,…

Fluid Dynamics · Physics 2021-05-19 Adrian van Kan , Alexandros Alexakis , Marc Etienne Brachet

In this paper we consider a multiscale phase-field model for capillarity-driven flows in porous media. The presented model constitutes a reduction of the conventional Navier-Stokes-Cahn-Hilliard phase-field model, valid in situations where…

Current feed-forward 3D/4D reconstruction systems rely on dense geometry and pose supervision -- expensive to obtain at scale and particularly scarce for dynamic real-world scenes. We present Flow3r, a framework that augments visual…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Zhongxiao Cong , Qitao Zhao , Minsik Jeon , Shubham Tulsiani

This work proposes a novel approach to 4D radar-based scene flow estimation via cross-modal learning. Our approach is motivated by the co-located sensing redundancy in modern autonomous vehicles. Such redundancy implicitly provides various…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Fangqiang Ding , Andras Palffy , Dariu M. Gavrila , Chris Xiaoxuan Lu

Pore-scale observation of vortical flow structures in porous media is a significant challenge in many natural and industrial systems. Vortical structure dynamics is believed to be the driving mechanism in the transition regime in porous…

Fluid Dynamics · Physics 2021-01-01 Reza M. Ziazi , James A. Liburdy

Geologic carbon sequestration (GCS) is a safety-critical technology that aims to reduce the amount of carbon dioxide in the atmosphere, which also places high demands on reliability. Multiphase flow in porous media is essential to…

Machine Learning · Computer Science 2024-07-25 Zhongyi Jiang , Min Zhu , Lu Lu