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Permeability is a central concept in the macroscopic description of flow through porous media, with applications spanning from oil recovery to hydrology. Traditional methods for determining the permeability tensor involving flow simulations…

Fluid Dynamics · Physics 2025-12-02 Sigurd Vargdal , Paula Reis , Henrik Andersen Sveinsson , Gaute Linga

The objective for this work is to develop a data-driven proxy to high-fidelity numerical flow simulations using digital images. The proposed model can capture the flow field and permeability in a large verity of digital porous media based…

Image and Video Processing · Electrical Eng. & Systems 2019-05-16 Ali Takbiri-Borujeni , Hadi Kazemi , Nasser Nasrabadi

Here we present a machine learning framework and model implementation that can learn to simulate a wide variety of challenging physical domains, involving fluids, rigid solids, and deformable materials interacting with one another. Our…

Machine Learning · Computer Science 2020-09-15 Alvaro Sanchez-Gonzalez , Jonathan Godwin , Tobias Pfaff , Rex Ying , Jure Leskovec , Peter W. Battaglia

In the last decades, significant progress has been made in understanding the multiphase displacement through porous media with homogeneous wettability and its relation to the pore geometry. However, the role of wettability at the scale of…

Soft Condensed Matter · Physics 2012-06-01 Marta S. de La Lama , Martin Brinkmann

Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the original system on the coarse grid to speed up the simulation.…

Numerical Analysis · Mathematics 2024-06-21 Fan Wang , Yating Wang , Wing Tat Leung , Zongben Xu

Modern energy systems in vehicles and built infrastructure are governed by high-dimensional dynamics spanning multiple physical domains (e.g., electrical, thermal, mechanical) and timescales. This tutorial paper presents a graph-based…

Continuum mechanics simulators, numerically solving one or more partial differential equations, are essential tools in many areas of science and engineering, but their performance often limits application in practice. Recent modern machine…

Machine Learning · Computer Science 2021-06-10 Mario Lino , Chris Cantwell , Anil A. Bharath , Stathi Fotiadis

Molecular dynamics (MD) simulation predicts the trajectory of atoms by solving Newton's equation of motion with a numeric integrator. Due to physical constraints, the time step of the integrator need to be small to maintain sufficient…

Computational Physics · Physics 2021-12-22 Tianze Zheng , Weihao Gao , Chong Wang

Accurate prediction of network-wide traffic conditions is essential for intelligent transportation systems. In the last decade, machine learning techniques have been widely used for this task, resulting in state-of-the-art performance. We…

Machine Learning · Computer Science 2021-11-23 Lei Lin , Weizi Li , Lei Zhu

In this work we explore the advantages of end-to-end learning of multilayer maps offered by feed forward neural-networks (FFNN) for learning and predicting dynamics from transient fluid flow data.While machine learning in general depends on…

Computational Physics · Physics 2020-10-28 Shivakanth Chary Puligilla , Balaji Jayaraman

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

Fluid Dynamics · Physics 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

In the past several years, convolutional neural networks (CNNs) have proven their capability to predict characteristic quantities in porous media research directly from pore-space geometries. Due to the frequently observed significant…

Computational Physics · Physics 2022-08-09 Stephan Gärttner , Florian Frank , Fabian Woller , Andreas Meier , Nadja Ray

A pore-scale model is introduced for two-phase flow in dense packings of polydisperse spheres. The model is developed as a component of a more general hydromechanical coupling framework based on the discrete element method, which will be…

Soft Condensed Matter · Physics 2016-01-06 Chao Yuan , Bruno Chareyre , Félix Darve

A graph neural network (GNN) approach is introduced in this work which enables mesh-based three-dimensional super-resolution of fluid flows. In this framework, the GNN is designed to operate not on the full mesh-based field at once, but on…

Graph neural networks, recently introduced into the field of fluid flow surrogate modeling, have been successfully applied to model the temporal evolution of various fluid flow systems. Existing applications, however, are mostly restricted…

Fluid Dynamics · Physics 2026-01-14 Rui Gao , Zhi Cheng , Rajeev K. Jaiman

Accurate short-term state forecasting is essential for efficient and stable operation of modern power systems, especially in the context of increasing variability introduced by renewable and distributed energy resources. As these systems…

Machine Learning · Computer Science 2026-05-13 Raffael Theiler , Olga Fink

Predicting the macroscopic properties of thin fiber-based porous materials from their microscopic morphology remains challenging because of the structural heterogeneity of these materials. In this study, computational fluid dynamics…

Flow through porous, elastically deforming media is present in a variety of natural contexts ranging from large-scale geophysics to cellular biology. In the case of incompressible constituents, the porefluid pressure acts as a Lagrange…

Fluid Dynamics · Physics 2022-06-30 Nicholas J. Derr , Chris H. Rycroft

Microfluidic devices offer unique opportunities to directly observe multiphase flow in porous media. However, as a direct representation of flow in geological pore networks, conventional microfluidics face several challenges. One is that…

Fluid Dynamics · Physics 2026-03-11 S. J. Cox , A. Davarpanah , W. R. Rossen

This work presents a data-driven framework for multi-scale parametrization of velocity-dependent dispersive transport in porous media. Pore-scale flow and transport simulations are conducted on periodic pore geometries, and volume-averaging…

Numerical Analysis · Mathematics 2024-10-21 Edward Coltman , Martin Schneider , Rainer Helmig
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