English
Related papers

Related papers: Hybrid models for simulating blood flow in microva…

200 papers

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…

Analysis of PDEs · Mathematics 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…

Computational Engineering, Finance, and Science · Computer Science 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…

Numerical Analysis · Mathematics 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…

Condensed Matter · Physics 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,…

Numerical Analysis · Mathematics 2024-07-09 Enrico Ballini , Luca Formaggia , Alessio Fumagalli , Eirik Keilegavlen , Anna Scotti

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…

Methodology · Statistics 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…

Fluid Dynamics · Physics 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…

Cell Behavior · Quantitative Biology 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…

Soft Condensed Matter · Physics 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,…

Fluid Dynamics · Physics 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…

Machine Learning · Computer Science 2022-06-16 Tailin Wu , Qinchen Wang , Yinan Zhang , Rex Ying , Kaidi Cao , Rok Sosič , Ridwan Jalali , Hassan Hamam , Marko Maucec , Jure Leskovec

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)…

Computational Engineering, Finance, and Science · Computer Science 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…

Computational Engineering, Finance, and Science · Computer Science 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…

Numerical Analysis · Mathematics 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…

Medical Physics · Physics 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…

Fluid Dynamics · Physics 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…

Fluid Dynamics · Physics 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…

Fluid Dynamics · Physics 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…