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Cerebral aneurysms and microaneurysms are abnormal vascular dilatations with high risk of rupture. An aneurysmal rupture could cause permanent disability and even death. Finding and treating aneurysms before their rupture is very difficult…

流体动力学 · 物理学 2018-08-28 Corina S. Drapaca

A novel approach is adopted to model cerebrospinal fluid (CSF) flow in human perivascular spaces (PVSs) surrounding brain-penetrating arteries. It is proposed that the outer PVS boundary oscillates due to brain pulsations and the arterial…

流体动力学 · 物理学 2025-10-24 Gregory Holba , James P. Hague , Nigel Hoggard , Marc Pradas

We performed numerical simulations of blood flow in arteries with a variable stiffness and cross-section at rest using a finite volume method coupled with a hydrostatic reconstruction of the variables at the interface of each mesh cell. The…

数值分析 · 数学 2015-09-15 Olivier Delestre , Arthur Ghigo , Jose-Maria Fullana , Pierre-Yves Lagrée

A simple analytical model for a turbulent flow is proposed, which considers the flow as a collection of localized spatial structures that are composed of elementary "cells" in which the state of the particles (atoms or molecules) is…

流体动力学 · 物理学 2013-04-09 Sergei F. Chekmarev

We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood-flow dynamics, and to identify particular characteristics that promote the onset of self-sustained oscillations. By…

定量方法 · 定量生物学 2022-06-23 Yaron Ben-Ami , George W. Atkinson , Joe M. Pitt-Francis , Philip K. Maini , Helen M. Byrne

This paper introduces a novel mathematical framework for examining the regularity and energy dissipation properties of solutions to the stochastic Navier-Stokes equations. By integrating Sobolev-Besov hybrid spaces, fractional differential…

偏微分方程分析 · 数学 2024-11-18 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

Internal haemorrhage, often leading to cardio-vascular arrest happens to be one of the prime sources of high fatality rates in mammals. We propose a simplistic model of fluid flow to specify the location of the haemorrhagic spots, which, if…

软凝聚态物质 · 物理学 2013-04-01 Amit K. Chattopadhyay , Shreekantha Sil

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

流体动力学 · 物理学 2007-05-23 Hua-Shu Dou

In this visualisation the instantaneous local velocity is expressed in terms of four components to capture the development of and interactions between coherent structures in turbulent flows. It is then possible to isolate the terms linked…

流体动力学 · 物理学 2009-10-13 Trinh Khanh Tuoc

The study is devoted to the development of new effective tools and methods of ana-lytical hydrodynamics, including problems of existence, smoothness and structure of laminar and turbulent flows. The main problem is complex Navier-Stokes…

流体动力学 · 物理学 2007-05-23 Anatoly N. Panchenkov

We analyze left atrium haemodynamics, highlighting differences among healthy individuals and patients affected by atrial fibrillation. The computational study is based on patient-specific geometries of the left atria to simulate blood flow…

流体动力学 · 物理学 2022-10-06 Mattia Corti , Alberto Zingaro , Luca Dede' , Alfio Maria Quarteroni

In this paper, we present a mathematical and numerical model for blood solidification and its rupture in stenosed arteries. The interaction between the blood flow and an existing stenosis in the arterial wall is modeled as a three…

数值分析 · 数学 2020-05-15 Fatima Abbas , Ayman Mourad

The majority of practical flows, particularly those flows in applications of importance to transport, distribution and climate, are turbulent and as a result experience complex three-dimensional motion with increased drag compared with the…

流体动力学 · 物理学 2015-03-17 B. J. McKeon , A. S. Sharma , I. Jacobi

The onset of turbulence in laminar flow of viscous fluids is shown to be a consequence of the limited capacity of the fluid to withstand shear stress. This fact is exploited to predict the flow velocity at which laminar flow becomes…

综合物理 · 物理学 2017-03-22 A. Paglietti

We are interested in simulating blood flow in arteries with a one dimensional model. Thanks to recent developments in the analysis of hyperbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) we will…

数值分析 · 数学 2013-04-24 Olivier Delestre , Pierre-Yves Lagrée

In recent works, we proposed a hypothesis that the turbulence in gases could be produced by particles interacting via a potential, and examined the proposed mechanics of turbulence formation in a simple model of two particles for a variety…

流体动力学 · 物理学 2024-06-12 Rafail V. Abramov

Hypersonic flow conditions pose exceptional challenges for Reynolds-Averaged Navier-Stokes (RANS) turbulence modeling. Critical phenomena include compressibility effects, shock/turbulent boundary layer interactions, turbulence-chemistry…

流体动力学 · 物理学 2025-04-30 Pratikkumar Raje , Eric Parish , Jean-Pierre Hickey , Paola Cinnella , Karthik Duraisamy

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

流体动力学 · 物理学 2017-10-09 Jianjun Tao , Xiangming Xiong

Since Kolmogorov's theory, turbulence has been studied using various methods, many of which could be now be understood in a probabilistic framework. Herein, a comprehensive review of the advances made on stochastic theory of turbulence…

流体动力学 · 物理学 2022-11-24 Ali Poursina , Ali Pourjamal , Ali Bozorg

This work builds on and confirms the theoretical findings of Part 1 of this paper, Moarref & Jovanovi\'c (2010). We use direct numerical simulations of the Navier-Stokes equations to assess the efficacy of blowing and suction in the form of…

流体动力学 · 物理学 2011-11-29 Binh K. Lieu , Rashad Moarref , Mihailo R. Jovanović