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Simulation of fluid flow in porous media has many applications, from the micro-scale (cell membranes, filters, rocks) to macro-scale (groundwater, hydrocarbon reservoirs, and geothermal) and beyond. Direct simulation of flow in porous media…

流体动力学 · 物理学 2020-04-27 Ying Da Wang , Traiwit Chung , Ryan T. Armstrong , Peyman Mostaghimi

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

数值分析 · 数学 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti

Mesh-free methods have significant potential for simulations of flows in complex geometries, with the difficulties of domain discretisation greatly reduced. However, many mesh-free methods are limited to low order accuracy. In order to…

流体动力学 · 物理学 2021-11-10 Jack King , Steven Lind

The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena.…

材料科学 · 物理学 2009-10-31 R. Hilfer

We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general and applicable to regular and irregular pore networks in two…

流体动力学 · 物理学 2019-07-31 Santanu Sinha , Magnus Aa. Gjennestad , Morten Vassvik , Alex Hansen

Imbibition is a commonly encountered multiphase problem in various fields, and exact prediction of imbibition processes is a key issue for better understanding capillary flow in heterogeneous porous media. In this work, a numerical…

软凝聚态物质 · 物理学 2018-05-22 Si Suo , Mingchao Liu , Yixiang Gan

A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. First, the problem is posed on a finite domain by means of a proper nonlinear change of variables. The…

数值分析 · 数学 2023-02-10 Francisco Bernal , Ali Safdari-Vaighani , Elisabeth Larsson

This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered…

数值分析 · 数学 2018-04-17 Xiaoli Liu , Bo Zhang , Haiwen Zhang

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…

数值分析 · 数学 2022-12-22 Matteo Icardi , Eugenio Pescimoro , Federico Municchi , Juan H Hidalgo

Predicting the permeability of porous media in saturated and partially saturated conditions is of crucial importance in many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many…

地球物理 · 物理学 2021-06-04 Nguyen Van Nghia A , Damien Jougnot , Luong Thanh , Phan van Do , Tran Thuy , Dang Hue , Nguyen Hung

We describe a numerical method to simulate an elastic shell immersed in a viscous incompressible fluid. The method is developed as an extension of the immersed boundary method using shell equations based on the Kirchhoff-Love and the planar…

数值分析 · 数学 2025-10-20 E. Givelberg

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

流体动力学 · 物理学 2021-09-22 Francisco J. Carrillo

Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial…

数值分析 · 数学 2025-04-25 Valentina Schüller , Philipp Birken , Andreas Dedner

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…

计算物理 · 物理学 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamically consistent and includes temperature gradients and…

偏微分方程分析 · 数学 2026-01-01 Esther S. Daus , Josipa Pina Milišić , Nicola Zamponi

We investigate two common numerical techniques for integrating reversible moist processes in atmospheric flows in the context of solving the fully compressible Euler equations. The first is a one-step, coupled technique based on using…

大气与海洋物理 · 物理学 2015-05-11 Max Duarte , Ann S. Almgren , Kaushik Balakrishnan , John B. Bell , David M. Romps

We present the formal derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipe. In the case of free surface incompressible flows, the \FS-model is formally obtained, using formal asymptotic…

偏微分方程分析 · 数学 2013-01-09 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

Pore-resolved direct numerical simulations (DNS) are performed to investigate the interactions between streamflow turbulence and groundwater flow through a randomly packed porous sediment bed for three permeability Reynolds numbers, $Re_K$,…

流体动力学 · 物理学 2025-07-22 Shashank K. Karra , Sourabh V. Apte , Xiaoliang He , Timothy Scheibe

We develop a computational framework that leverages the features of sophisticated software tools and numerics to tackle some of the pressing issues in the realm of earth sciences. The algorithms to handle the physics of multiphase flow,…

计算工程、金融与科学 · 计算机科学 2021-02-10 Saumik Dana , Xiaoxi Zhao , Birendra Jha

Flow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices according to specific random walk rules. The occupation number of the lattice…

数值分析 · 数学 2022-07-27 Nicolae Suciu , Florin A. Radu