Journal ArticleDOI
Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
TLDR
Outflow boundary conditions are derived for any downstream domain where an explicit relationship of pressure as a function of flow rate or velocities can be obtained at the coupling interface.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2006-06-01. It has received 652 citations till now. The article focuses on the topics: Different types of boundary conditions in fluid dynamics & Outflow boundary.read more
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Book
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book
TL;DR: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software.
Journal ArticleDOI
Isogeometric fluid-structure interaction: theory, algorithms, and computations
TL;DR: A fully-coupled monolithic formulation of the fluid-structure interaction of an incompressible fluid on a moving domain with a nonlinear hyperelastic solid is presented.
Journal ArticleDOI
Isogeometric Fluid structure Interaction Analysis with Applications to Arterial Blood Flow
TL;DR: In this paper, a non-uniform rational B-splines-based isogeometric fluid-structure interaction formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for large structural displacements, is developed.
Journal ArticleDOI
Patient-Specific Modeling of Blood Flow and Pressure in Human Coronary Arteries
Hyung J. Kim,Irene E. Vignon-Clementel,Jessica S. Coogan,C. A. Figueroa,Kenneth E. Jansen,Charles A. Taylor +5 more
TL;DR: A method that predicts coronary flow and pressure of three-dimensional epicardial coronary arteries by considering models of the heart and arterial system and the interactions between the two models was developed.
Journal ArticleDOI
A coupled momentum method for modeling blood flow in three-dimensional deformable arteries
C. Alberto Figueroa,Irene E. Vignon-Clementel,Kenneth E. Jansen,Thomas J. R. Hughes,Charles A. Taylor +4 more
TL;DR: In this paper, the authors developed a new method to simulate blood flow in 3D deformable models of arteries, which couples the equations of the deformation of the vessel wall at the variational level as a boundary condition for the fluid domain.
References
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Journal ArticleDOI
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
A. N. Brooks,Thomas J. R. Hughes +1 more
TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.
Book
Review of Medical Physiology
TL;DR: This book presents a systematic review of medical physiology using a probabilistic method, aiming at determining the basic principles of physiology and its applications in medicine.
Book
McDonald's Blood Flow in Arteries: Theoretical, Experimental and Clinical Principles
TL;DR: The nature and flow of a fluid properties of the normanl arterial wall changes to properties of that wall pulsatile pressure flow relationships measuring principles of arterial waves ultrasonic techniques and measurements contour of pressure and flow waves in arteries wave reflection are studied.
Journal ArticleDOI
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
TL;DR: In this paper, an approach is developed for deriving variational methods capable of representing multiscale phenomena, which leads to the well-known Dirichlet-to-Neumann formulation.
Journal Article
Hemodynamics and atherosclerosis. Insights and perspectives gained from studies of human arteries.
TL;DR: Development of clinical techniques for relating hemodynamic and tensile properties to plaque location, stenosis, and composition should permit pathologists to provide new insights into the bases for the topographic and individual differences in plaque progression and outcome.