Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow

[1]  Alison L. Marsden,et al.  Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries , 2010, Computer methods in biomechanics and biomedical engineering.

[2]  Christian Vergara,et al.  A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics , 2008, SIAM J. Numer. Anal..

[3]  P. Blanco,et al.  A unified variational approach for coupling 3D-1D models and its blood flow applications , 2007 .

[4]  L. Formaggia,et al.  On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations , 2007 .

[5]  A. Yoganathan,et al.  Introduction of a new optimized total cavopulmonary connection. , 2007, The Annals of thoracic surgery.

[6]  Charles A. Taylor,et al.  Fractal network model for simulating abdominal and lower extremity blood flow during resting and exercise conditions , 2007, Computer methods in biomechanics and biomedical engineering.

[7]  Christian Vergara,et al.  An approximate method for solving incompressible Navier–Stokes problems with flow rate conditions , 2007 .

[8]  Charles A. Taylor,et al.  Effects of Exercise and Respiration on Hemodynamic Efficiency in CFD Simulations of the Total Cavopulmonary Connection , 2007, Annals of Biomedical Engineering.

[9]  C. Vergara,et al.  Flow Rate Boundary Conditions in Fluid‐Dynamics , 2006 .

[10]  Charles A. Taylor,et al.  Aortoiliac hemodynamic and morphologic adaptation to chronic spinal cord injury. , 2006, Journal of vascular surgery.

[11]  Charles A. Taylor,et al.  A coupled momentum method for modeling blood flow in three-dimensional deformable arteries , 2006 .

[12]  Charles A. Taylor,et al.  Efficient anisotropic adaptive discretization of the cardiovascular system , 2006 .

[13]  Christopher P. Cheng,et al.  Abdominal aortic hemodynamics in young healthy adults at rest and during lower limb exercise: quantification using image-based computer modeling. , 2006, American journal of physiology. Heart and circulatory physiology.

[14]  Charles A. Taylor,et al.  Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries , 2006 .

[15]  F. Migliavacca,et al.  Multiscale modelling in biofluidynamics: application to reconstructive paediatric cardiac surgery. , 2006, Journal of biomechanics.

[16]  I. Meredith,et al.  Waveform dispersion, not reflection, may be the major determinant of aortic pressure wave morphology. , 2005, American journal of physiology. Heart and circulatory physiology.

[17]  C. Putman,et al.  Characterization of cerebral aneurysms for assessing risk of rupture by using patient-specific computational hemodynamics models. , 2005, AJNR. American journal of neuroradiology.

[18]  P. Serruys,et al.  Geometry guided data averaging enables the interpretation of shear stress related plaque development in human coronary arteries. , 2005, Journal of biomechanics.

[19]  C. Kleinstreuer,et al.  Blood flow and structure interactions in a stented abdominal aortic aneurysm model. , 2005, Medical engineering & physics.

[20]  F. Migliavacca,et al.  Multiscale modeling of the cardiovascular system: application to the study of pulmonary and coronary perfusions in the univentricular circulation. , 2005, Journal of biomechanics.

[21]  C. Vergara,et al.  Flow rate defective boundary conditions in haemodynamics simulations , 2005 .

[22]  Simon Wildermuth,et al.  Computational Fluid Dynamics: Hemodynamic Changes in Abdominal Aortic Aneurysm After Stent-Graft Implantation , 2005, CardioVascular and Interventional Radiology.

[23]  David A Steinman,et al.  Finite-element modeling of the hemodynamics of stented aneurysms. , 2004, Journal of biomechanical engineering.

[24]  Charles Taylor,et al.  EXPERIMENTAL AND COMPUTATIONAL METHODS IN CARDIOVASCULAR FLUID MECHANICS , 2004 .

[25]  Charles A. Taylor,et al.  In Vivo Validation of Numerical Prediction of Blood Flow in Arterial Bypass Grafts , 2002, Annals of Biomedical Engineering.

[26]  Christopher P. Cheng,et al.  In Vivo Quantification of Blood Flow and Wall Shear Stress in the Human Abdominal Aorta During Lower Limb Exercise , 2002, Annals of Biomedical Engineering.

[27]  Peter Boesiger,et al.  Blood flow in the human ascending aorta: a combined MRI and CFD study , 2003 .

[28]  Alastair J. Martin,et al.  Computational approach to quantifying hemodynamic forces in giant cerebral aneurysms. , 2003, AJNR. American journal of neuroradiology.

[29]  Alfio Quarteroni,et al.  Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations , 2002, SIAM J. Numer. Anal..

[30]  A. Quarteroni,et al.  On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels , 2001 .

[31]  Toshio Kobayashi,et al.  Finite element simulation of blood flow in the cerebral artery , 2001 .

[32]  A. Quarteroni,et al.  Coupling between lumped and distributed models for blood flow problems , 2001 .

[33]  J. Szmelter.  Incompressible flow and the finite element method , 2001 .

[34]  Kenneth E. Jansen,et al.  A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis , 2001 .

[35]  G. Hulbert,et al.  A generalized-α method for integrating the filtered Navier–Stokes equations with a stabilized finite element method , 2000 .

[36]  C. Farhat,et al.  The Discontinuous Enrichment Method , 2000 .

[37]  R G Mark,et al.  Numerical analysis of blood flow through a stenosed artery using a coupled multiscale simulation method , 2000, Computers in Cardiology 2000. Vol.27 (Cat. 00CH37163).

[38]  Alfio Quarteroni,et al.  Multiscale modelling of the circulatory system: a preliminary analysis , 1999 .

[39]  P Segers,et al.  Use of pulse pressure method for estimating total arterial compliance in vivo. , 1999, American journal of physiology. Heart and circulatory physiology.

[40]  Mette S Olufsen,et al.  Structured tree outflow condition for blood flow in larger systemic arteries. , 1999, American journal of physiology. Heart and circulatory physiology.

[41]  C. Taylor,et al.  Predictive medicine: computational techniques in therapeutic decision-making. , 1999, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.

[42]  Thomas J. R. Hughes,et al.  Finite element modeling of blood flow in arteries , 1998 .

[43]  Rolf Rannacher,et al.  ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER–STOKES EQUATIONS , 1996 .

[44]  D. Ku,et al.  Pulsatile velocity measurements in a model of the human abdominal aorta under simulated exercise and postprandial conditions. , 1994, Journal of biomechanical engineering.

[45]  Ramon Codina,et al.  An iterative penalty method for the finite element solution of the stationary Navier-Stokes equations , 1993 .

[46]  Jintai Chung,et al.  A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method , 1993 .

[47]  L. Franca,et al.  Stabilized Finite Element Methods , 1993 .

[48]  T. Wonnacott,et al.  Relation between diameter and flow in major branches of the arch of the aorta. , 1992, Journal of biomechanics.

[49]  L. Franca,et al.  Stabilized finite element methods. II: The incompressible Navier-Stokes equations , 1992 .

[50]  J. C. Simo,et al.  Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms , 1991 .

[51]  T. Hughes,et al.  Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .

[52]  A Noordergraaf,et al.  Estimation of total systemic arterial compliance in humans. , 1990, Journal of applied physiology.

[53]  Michael M. Resch,et al.  Pulsatile non-Newtonian blood flow simulation through a bifurcation with an aneurysm. , 1989, Biorheology.

[54]  A. Fortin.  On the imposition of a flowrate by an augmented Lagrangian method , 1988 .

[55]  R. Glowinski,et al.  Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .

[56]  Noboru Kikuchi,et al.  Finite element methods for constrained problems in elasticity , 1982 .

[57]  T. N. Stevenson,et al.  Fluid Mechanics , 2021, Nature.

[58]  J. Varah.  A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems , 1979 .

[59]  Thomas J. R. Hughes,et al.  On the one-dimensional theory of blood flow in the larger vessels , 1973 .

[60]  M. Hestenes.  Multiplier and gradient methods , 1969 .

[61]  M. Powell.  A method for nonlinear constraints in minimization problems , 1969 .

[62]  J. Womersley,et al.  An Elastic Tube Theory of Pulse Transmission and Oscillatory Flow in Mammalian Arteries , 1957 .