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Understanding the dynamics of phase boundaries in fluids requires quantitative knowledge about the microscale processes at the interface. We consider the sharp-interface motion of compressible two-component flow, and propose a heterogeneous…

数值分析 · 数学 2023-09-06 Jim Magiera , Christian Rohde

In this paper, a pore-scale network modeling method, based on the flow continuity residual in conjunction with a Newton-Raphson non-linear iterative solving technique, is proposed and used to obtain the pressure and flow fields in a network…

流体动力学 · 物理学 2014-12-02 Taha Sochi

A homogenization approach is proposed for the treatment of porous wall boundary conditions in the computation of compressible viscous flows. Like any other homogenization approach, it eliminates the need for pore-resolved fluid meshes and…

流体动力学 · 物理学 2020-12-15 Daniel Z. Huang , Man Long Wong , Sanjiva K. Lele , Charbel Farhat

Recent X-ray imaging experiments have revealed that multiphase flow through porous media involves transient fluctuations in local occupancy, even under fixed macroscopic steady-state conditions where capillary forces dominate at the pore…

流体动力学 · 物理学 2026-05-13 Alexandra Karabasova , Sajjad Foroughi , Martin J. Blunt , Branko Bijeljic

Computational models in cardiac electrophysiology are notorious for long runtimes, restricting the numbers of nodes and mesh elements in the numerical discretisations used for their solution. This makes it particularly challenging to…

We derive a homogenized macroscopic model for fluid flows over ordered homogeneous porous surfaces. The unconfined free-flow is described by the Navier-Stokes equation, and the Darcy equation governs the seepage flow within the porous…

流体动力学 · 物理学 2021-01-20 Y. Sudhakar , Ugis Lacis , Simon Pasche , Shervin Bagheri

The emergence of computational fluid dynamics (CFD) enabled the simulation of intricate transport processes, including flow in physiological structures, such as blood vessels. While these so-called hemodynamic simulations offer…

Stochastic modeling has become a popular approach to quantify uncertainty in flows through heterogeneous porous media. The uncertainty in heterogeneous structure properties is often parameterized by a high-dimensional random variable. This…

数值分析 · 数学 2013-10-22 Lijian Jiang , J. David Moulton , Jia Wei

The paper deals with modeling the liver perfusion intended to improve quantitative analysis of the tissue scans provided by the contrast-enhanced computed tomography (CT). For this purpose, we developed a model of dynamic transport of the…

计算工程、金融与科学 · 计算机科学 2018-08-01 Eduard Rohan , Vladimír Lukeš , Alena Jonášová

The presented multi-scale, closed-loop blood circulation model includes arterial, venous, and portal venous systems, heart-pulmonary circulation, and micro-circulation in capillaries. One-dimensional models simulate large blood vessel flow,…

医学物理 · 物理学 2024-04-03 Jiawei Liu , Hiroshi Suito

The circulatory system, comprising the heart and blood vessels, is vital for nutrient transport, waste removal, and homeostasis. Traditional computational models often treat cardiac electromechanics and blood flow dynamics separately,…

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

数值分析 · 数学 2020-01-08 Yating Wang , Guang Lin

Cerebrovascular diseases such as brain aneurysms are a primary cause of adult disability. The flow dynamics in brain arteries, both during periods of rest and increased activity, are known to be a major factor in the risk of aneurysm…

We perform direct numerical simulations of the flow through a model of a deformable porous medium. Our model is a two-dimensional hexagonal lattice, with defects, of soft elastic cylindrical pillars, with elastic shear modulus $G$, immersed…

流体动力学 · 物理学 2021-09-09 Marco E. Rosti , Satyajit Pramanik , Luca Brandt , Dhrubaditya Mitra

This paper deals with simulation of flow and transport in porous media such as transport of groundwater contaminants. We first discuss how macro scale equations are derived and which terms have to be closed by models. The transport of…

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…

流体动力学 · 物理学 2026-01-14 Rui Gao , Zhi Cheng , Rajeev K. Jaiman

In cerebrovascular networks, some vertices are more connected to each other than with the rest of the vasculature, defining a community structure. Here, we introduce a class of model networks built by rewiring Random Regular Graphs, which…

生物物理 · 物理学 2022-07-19 Florian Goirand , Bertrand Georgeot , Olivier Giraud , Sylvie Lorthois

Advances in computational science offer a principled pipeline for predictive modeling of cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and surgical planning. Such models can be nowadays deployed on…

机器学习 · 计算机科学 2019-09-19 Georgios Kissas , Yibo Yang , Eileen Hwuang , Walter R. Witschey , John A. Detre , Paris Perdikaris

When a fluid carrying a passive solute flows quickly through porous media, three key macroscale transport mechanisms occur. These mechanisms are diffusion, advection and dispersion, all of which depend on the microstructure of the porous…

流体动力学 · 物理学 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

Parametric reduced-order modelling often serves as a surrogate method for hemodynamics simulations to improve the computational efficiency in many-query scenarios or to perform real-time simulations. However, the snapshots of the method…

计算工程、金融与科学 · 计算机科学 2023-10-24 Dongwei Ye , Valeria Krzhizhanovskaya , Alfons G. Hoekstra