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We introduce a Darcy-scale model to describe compressible multi-component flow in a fully saturated porous medium. In order to capture cross-diffusive effects between the different species correctly, we make use of the Maxwell--Stefan…

偏微分方程分析 · 数学 2020-12-02 Lukas Ostrowski , Christian Rohde

The meniscal tissue is a layered material with varying properties influenced by collagen content and arrangement. Understanding the relationship between structure and properties is crucial for disease management, treatment development, and…

计算工程、金融与科学 · 计算机科学 2023-07-26 J. Waghorne , F. P. Bonomo , A. Rabbani , D. Bell , O. Barrera

The aim of this study is to compare numerical methods for the simulation of single-phase flow and transport in fractured media, described here by means of the Discrete Fracture Network (DFN) model. A Darcy problem is solved to compute the…

数值分析 · 数学 2019-07-30 Andrea Borio , Alessio Fumagalli , Stefano Scialò

We study compressible fluid flow in narrow two-dimensional channels using a novel molecular dynamics simulation method. In the simulation area, an upstream source is maintained at constant density and temperature while a downstream…

凝聚态物理 · 物理学 2009-10-22 M. Sun , C. Ebner

The paper presents a workflow for fast pore-scale simulation of single-phase flow in tight reservoirs typically characterized by low, multiscale porosity. Multiscale porosity implies that the computational domain contains porous voxels…

Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous properties compared to the surrounding rock matrix,…

Diffusions are a fundamental class of models in many fields, including finance, engineering, and biology. Simulating diffusions is challenging as their sample paths are infinite-dimensional and their transition functions are typically…

统计方法学 · 统计学 2021-06-11 Paul A. Jenkins , Murray Pollock , Gareth O. Roberts , Michael Sørensen

We investigate the dynamics of viscous fingering (VF) in miscible slices in homogeneous, isotropic porous media. The fluid flow is governed by incompressible Darcy's law, whereas the solute transport is described using an…

流体动力学 · 物理学 2026-04-13 Mijanur Rahaman , Jiten C. Kalita , Satyajit Pramanik

We study a simplified stochastic model for the vascularization of a growing tumor, incorporating the formation of new blood vessels at the tumor periphery as well as their regression in the tumor center. The resulting morphology of the…

细胞行为 · 定量生物学 2009-09-16 Raja Paul

Non-particulate continuum descriptions allow for computationally efficient modeling of suspension flows at scales that are inaccessible to more detailed particulate approaches. It is well known that the presence of particles influences the…

软凝聚态物质 · 物理学 2013-11-13 Florian Janoschek , Jens Harting , Federico Toschi

An outstanding characteristic of porous media, desired in many applications, is the large surface area, which facilitates solid-fluid interactions, making porous media an extreme case in colloid and interface science. In two-fluid systems,…

流体动力学 · 物理学 2025-10-23 Steffen Berg , Ryan T. Armstrong , Maja Rücker , Alex Hansen , Signe Kjelstrup , Dick Bedeaux

Subsurface simulations use computational models to predict the flow of fluids (e.g., oil, water, gas) through porous media. These simulations are pivotal in industrial applications such as petroleum production, where fast and accurate…

The pressure and flow statistics of Darcy flow through a random permeable medium are expressed in a form suitable for evaluation by the method of simulated annealing. There are several attractive aspects to using simulated annealing: (i)…

计算工程、金融与科学 · 计算机科学 2019-04-04 Marise J. E. Westbroek , Peter R. King , Dimitri D. Vvedensky , Ronnie L. Schwede

We present a comprehensive workflow to simulate single-phase flow and transport in fractured porous media using the discrete fracture matrix approach. The workflow has three primary parts: (1) a method for conforming mesh generation of and…

计算工程、金融与科学 · 计算机科学 2022-07-27 Jeffrey D. Hyman , Matthew R. Sweeney , Carl W. Gable , Daniil Svyatsky , Konstantin Lipnikov , J. David Moulton

In this work we present a new conceptual model to describe fluid flow in a porous media system in presence of a large fault. Geological faults are often modeled simply as interfaces in the rock matrix, but they are complex structure where…

数值分析 · 数学 2019-03-05 Alessio Fumagalli , Anna Scotti

An arteriovenous fistula, created by artificially connecting segments of a patient's vasculature, is the preferred way to gain access to the bloodstream for kidney dialysis. The increasing power and availability of supercomputing…

医学物理 · 物理学 2021-06-14 J. W. S. McCullough , P. V. Coveney

Altered hemodynamics play a key role in cerebrovascular diseases such as aneurysms and stenosis. However, in vivo imaging lacks the spatial resolution required to resolve flow dynamics in small vessels. This study presents an experimental…

流体动力学 · 物理学 2026-05-25 Job van Essen , Ahmed Sharaf , Denzel Hopman , Selene Pirola , Paola Fanzio

Background and Objective: The role of red blood cell dynamics is emphasised in certain cardiovascular diseases, and thus needs to be closely studied. A multiphase model of blood flow allows the resolution of locally varying density of red…

流体动力学 · 物理学 2021-10-07 Konstantinos G. Lyras , Jack Lee

Power minimisation in branched fluidic networks has gained significant attention in biology and engineering. The optimal network is defined by channel radii that minimise the sum of viscous dissipation and the volumetric energetic cost of…

流体动力学 · 物理学 2025-01-16 Jan Siemen Smink , Rob Hagmeijer , Cornelis Henricus Venner , Claas Willem Visser

In this study, we present a comprehensive numerical analysis of blood flow within human left ventricle models, with particular emphasis on optimizing simulation conditions to enhance the realism and computational efficiency of heart flow…

流体动力学 · 物理学 2024-11-26 Eneko Lazpita , Andrea Mares , Pedro Quintero , Jesús Garicano-Mena , Soledad Le Clainche