Fluid–Structure Interaction

This chapter provides a brief introduction to the vast area of fluid–structure interaction. The topics covered include flexible tubes and multidimensional problems of fluid-structure interaction. Both the monolithic and segregated approaches are discussed along with some important mesh moving strategies.

[1]  D. F. Young,et al.  Computer simulation of arterial flow with applications to arterial and aortic stenoses. , 1992, Journal of biomechanics.

[2]  M. Anliker,et al.  Nonlinear analysis of flow pulses and shock waves in arteries , 1971 .

[3]  K. C. Watts,et al.  Computational simulation of blood flow in human systemic circulation incorporating an external force field , 2006, Medical and Biological Engineering and Computing.

[4]  D. F. Young,et al.  A finite-element model of blood flow in arteries including taper, branches, and obstructions. , 1986, Journal of biomechanical engineering.

[5]  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.

[6]  A. Shapiro Steady Flow in Collapsible Tubes , 1977 .

[7]  Timothy J. Pedley,et al.  Numerical solutions for unsteady gravity-driven flows in collapsible tubes: evolution and roll-wave instability of a steady state , 1999, Journal of Fluid Mechanics.

[8]  Fabio Nobile,et al.  Added-mass effect in the design of partitioned algorithms for fluid-structure problems , 2005 .

[9]  O. C. Zienkiewicz,et al.  The Finite Element Method: Its Basis and Fundamentals , 2005 .

[10]  Wolfgang A. Wall,et al.  Coupling strategies for biomedical fluid–structure interaction problems , 2010 .

[11]  Ning Qin,et al.  Fast dynamic grid deformation based on Delaunay graph mapping , 2006 .

[12]  W. Wall,et al.  Fixed-point fluid–structure interaction solvers with dynamic relaxation , 2008 .

[13]  S. Čanić,et al.  Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels , 2003 .

[14]  Tomoki Kitawaki,et al.  Flow Analysis of Viscoelastic Tube Using One-Dimensional Numerical Simulation Model , 2006 .

[15]  Michael Schäfer,et al.  Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach , 2008 .

[16]  Alfio Quarteroni,et al.  A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis , 2002 .

[17]  S. Sherwin,et al.  One-dimensional modelling of a vascular network in space-time variables , 2003 .

[18]  Andrew J. Pullan,et al.  An Anatomically Based Model of Transient Coronary Blood Flow in the Heart , 2002, SIAM J. Appl. Math..

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

[20]  Yuri Bazilevs,et al.  Computational Fluid-Structure Interaction: Methods and Applications , 2013 .

[21]  M. Olufsen,et al.  Numerical Simulation and Experimental Validation of Blood Flow in Arteries with Structured-Tree Outflow Conditions , 2000, Annals of Biomedical Engineering.

[22]  K. Bathe,et al.  Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction , 2009 .

[23]  Ekkehard Ramm,et al.  A strong coupling partitioned approach for fluid–structure interaction with free surfaces , 2007 .

[24]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[25]  S. J. Payne,et al.  Analysis of the effects of gravity and wall thickness in a model of blood flow through axisymmetric vessels , 2004, Medical and Biological Engineering and Computing.

[26]  T J Pedley,et al.  Prediction of coronary blood flow with a numerical model based on collapsible tube dynamics. , 1990, The American journal of physiology.

[27]  Tayfun E. Tezduyar,et al.  Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques , 2007 .

[28]  C. Farhat,et al.  Torsional springs for two-dimensional dynamic unstructured fluid meshes , 1998 .

[29]  Wolfgang A. Wall,et al.  Fluid–structure interaction for non-conforming interfaces based on a dual mortar formulation , 2011 .

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

[31]  B Hillen,et al.  Linear and nonlinear one-dimensional models of pulse wave transmission at high Womersley numbers. , 1989, Journal of biomechanics.

[32]  S. Tsangaris,et al.  A Computer Model for the Prediction of Left Epicardial Coronary Blood Flow in Normal, Stenotic and Bypassed Coronary Arteries, by Single or Sequential Grafting , 1998, Cardiovascular surgery.

[33]  Spencer J. Sherwin,et al.  Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system , 2003 .

[34]  Clarence O. E. Burg,et al.  A Robust Unstructured Grid Movement Strategy using Three-Dimensional Torsional Springs , 2004 .

[35]  Pablo J. Blanco,et al.  Multidimensional modelling for the carotid artery blood flow , 2006 .

[36]  O. C. Zienkiewicz,et al.  The Finite Element Method for Solid and Structural Mechanics , 2013 .

[37]  J. Boyle,et al.  Solvers for large-displacement fluid–structure interaction problems: segregated versus monolithic approaches , 2008 .

[38]  D. Peric,et al.  A computational framework for fluid–structure interaction: Finite element formulation and applications , 2006 .

[39]  A. Quarteroni,et al.  One-dimensional models for blood flow in arteries , 2003 .

[40]  Jing Wan,et al.  A One-dimensional Finite Element Method for Simulation-based Medical Planning for Cardiovascular Disease , 2002, Computer methods in biomechanics and biomedical engineering.

[41]  J K Raines,et al.  A computer simulation of arterial dynamics in the human leg. , 1974, Journal of biomechanics.