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The work analyzes a one-dimensional viscoelastic model of blood vessel growth under nonlinear friction with surroundings, and provides numerical simulations for various growing cases. For the nonlinear differential equations, two sufficient…

Analysis of PDEs · Mathematics 2010-10-18 Chunjing Xie , Xiaoming Zheng

The complexity of binary droplet collisions increases for the collision of immiscible liquids with the occurrence of triple lines and thin encapsulating films. The Volume of Fluid (VOF) method is extended with an efficient interface…

Fluid Dynamics · Physics 2023-06-22 Johanna Potyka , Kathrin Schulte

Several cardiovascular diseases are caused from localised abnormal blood flow such as in the case of stenosis or aneurysms. Prevailing theories propose that the development is caused by abnormal wall-shear stress in focused areas.…

Optimization and Control · Mathematics 2016-07-12 S. W. Funke , M. Nordaas , Øyvind Evju , M. S. Alnæs , K. -A. Mardal

It is known that the maximum diameter for the rupture-risk assessment of the abdominal aortic aneurysm is a generally good method, but not sufficient. Alternative features obtained with computational modeling may provide additional useful…

Computational Engineering, Finance, and Science · Computer Science 2020-03-16 Shanlin Qin , Rongliang Chen , Bokai Wu , Jia Liu , Wen-Shin Shiu , Zhengzheng Yan , Xiao-Chuan Cai

We present the results of an experimental and numerical investigation of a turbulent flow over a backward-facing step in a channel. Experimental data are visualized using a Particle Image Velocimetry (PIV) device. As a mathematical model we…

Mathematical Physics · Physics 2007-05-23 T. G. Elizarova , E. V. Shilnikov , R. Weber , J. Hureau

Finite-volume numerical method for study shallow water flows over an arbitrary bed profile in the presence of external force is proposed. This method uses the quasi-two-layer model of hydrodynamic flows over a stepwise boundary with…

Fluid Dynamics · Physics 2011-08-22 K. V. Karelsky , A. S. Petrosyan , A. G. Slavin

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-30 Mohamed A. Itani , Ulf D. Schiller , Sebastian Schmieschek , James Hetherington , Miguel O. Bernabeu , Hoskote Chandrashekar , Fergus Robertson , Peter V. Coveney , Derek Groen

Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms---allowing a robust and accurate simulation for any…

Computational Engineering, Finance, and Science · Computer Science 2019-02-05 Bilen Emek Abali

Accurate simulation of blood flow in deformable vessels is critical in cardiovascular research for understanding disease progression and informing clinical decision-making. However, due to the thin-walled nature of arteries, traditional…

Computational Engineering, Finance, and Science · Computer Science 2026-01-05 Chenxi Zhao , Dong Wu , Weiyi Kong , Oskar J. Haidn , Xiangyu Hu

A new computational approach for simulating the blood flow induced sound generation and propagation in a stenosed artery with one-sided constriction was investigated. This computational hemoacoustic method is based on mapping the transient…

Fluid Dynamics · Physics 2018-04-11 Fardin Khalili , Peshala P T Gamage , Ibrahim A Meguid , Hansen A Mansy

We consider a multiscale approach based on immersed methods for the efficient computational modeling of tissues composed of an elastic matrix (in two or three-dimensions) and a thin vascular structure (treated as a co-dimension two…

Numerical Analysis · Mathematics 2021-11-18 Luca Heltai , Alfonso Caiazzo

An exhaustive description of the dynamics under shear flow of a large number of red blood cells in dilute regime is proposed, which highlights and takes into account the dispersion in cell properties within a given blood sample.…

Biological Physics · Physics 2019-02-11 Christophe Minetti , Vassanti Audemar , Thomas Podgorski , Gwennou Coupier

A new slender-body theory for viscous flow, based on the concepts of dimensional reduction and hyperviscous regularization, is presented. The geometry of flat, elongated, or point-like rigid bodies immersed in a viscous fluid is…

Fluid Dynamics · Physics 2016-03-23 Giulio G. Giusteri , Eliot Fried

We perform numerical simulations of a turbulent channel flow over an hyper-elastic wall. In the fluid region the flow is governed by the incompressible Navier-Stokes (NS) equations, while the solid is a neo-Hookean material satisfying the…

Fluid Dynamics · Physics 2017-11-22 Marco E. Rosti , Luca Brandt

The paper develops a method for the numerical simulation of a free-surface flow of incompressible viscous fluid around a streamlined body. The body is a rigid stationary construction partially submerged in the fluid. The application we are…

Fast and realistic coupling of blood flow and vessel wall is of great importance to virtual surgery. In this paper, we propose a novel data-driven coupling method that formulates physics-based blood flow simulation as a regression problem,…

Graphics · Computer Science 2019-01-25 Xuejie Mai , Zhiyong Yuan , Qianqian Tong , Tianchen Yuan , Jianhui Zhao

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…

Fluid Dynamics · Physics 2020-12-15 Daniel Z. Huang , Man Long Wong , Sanjiva K. Lele , Charbel Farhat

An experimental study is combined with numerical modelling to investigate new ways to reduce cross-flow vibrations of hydraulic gates with underflow. A rectangular gate section placed in a flume was given freedom to vibrate in the vertical…

Fluid Dynamics · Physics 2015-06-18 C. D. Erdbrink , V. V. Krzhizhanovskaya , P. M. A. Sloot

The paper is devoted to a study of the peristaltic motion of blood in the micro-circulatory system. The vessel is considered to be of varying cross-section. The progressive peristaltic waves are taken to be of sinusoidal nature. Blood is…

Fluid Dynamics · Physics 2012-12-17 J. C. Misra , S. Maiti

In this work we study the hemodynamics in a stented artery connected either to a collateral artery or to an aneurysmal sac. The blood flow is driven by the pressure drop. Our aim is to characterize the flow-rate and the pressure in the…

Analysis of PDEs · Mathematics 2010-07-07 Vuk Milisic
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