A comparative study between partitioned and monolithic methods for the problems with 3D fluid-structure interaction of blood vessels

The problem with Fluid structure interaction (FSI) can be simulated by monolithic (fluid and structured equations are solved in a single monolithic matrix) or partitioned approach (fluid and solid equations are sequentially solved, and coupling is achieved subsequently through iteration). This paper presents a comparative study between monolithic (in-house) and partitioned (ANSYS) methods for 3D FSI problems. Pressure wave propagation in a flexible tube and a pulsatile flow interacting with a mild stenotic vessel are used in this study. The present numerical experiment reveals that the monolithic approach produced better convergence behavior and consumed lower CPU time than the partitioned method for the selected 3D FSI problems. Furthermore, the partitioned method had a severe convergence problem during strong interaction of fluid and structure.

[1]  Ji Pei,et al.  Fluid-structure coupling effects on periodically transient flow of a single-blade sewage centrifugal pump , 2013 .

[2]  C. J. Greenshields,et al.  A unified formulation for continuum mechanics applied to fluid–structure interaction in flexible tubes , 2005 .

[3]  Tayfun E. Tezduyar,et al.  Parallel Computation of Parachute Fluid-Structure Interactions , 1997 .

[4]  van Eh Harald Brummelen,et al.  The relevance of conservation for stability and accuracy of numerical methods for fluid?structure interaction , 2003 .

[5]  Dalin Tang,et al.  3D MRI-Based Multicomponent FSI Models for Atherosclerotic Plaques , 2004, Annals of Biomedical Engineering.

[6]  J. Yoo,et al.  Investigation of fluid–structure interactions using a velocity‐linked P2/P1 finite element method and the generalized‐ α method , 2012 .

[7]  A D Hughes,et al.  Blood flow and vessel mechanics in a physiologically realistic model of a human carotid arterial bifurcation. , 2000, Journal of biomechanics.

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

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

[10]  S. Einav,et al.  Influence of microcalcifications on vulnerable plaque mechanics using FSI modeling. , 2008, Journal of biomechanics.

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

[12]  Elena S. Di Martino,et al.  Effect of Variation in Intraluminal Thrombus Constitutive Properties on Abdominal Aortic Aneurysm Wall Stress , 2003, Annals of Biomedical Engineering.

[13]  Peng Cui,et al.  Prediction of flutter characteristics for a transport wing with wingtip devices , 2012 .

[14]  T. Hughes,et al.  Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow , 2006 .

[15]  Miguel Angel Fernández,et al.  A Newton method using exact jacobians for solving fluid-structure coupling , 2005 .

[16]  T. Hughes,et al.  Multiphysics simulation of flow-induced vibrations and aeroelasticity on parallel computing platforms , 1999 .

[17]  M. Thubrikar,et al.  Effect of thrombus on abdominal aortic aneurysm wall dilation and stress. , 2003, The Journal of cardiovascular surgery.

[18]  J. Yoo,et al.  AILU preconditioning for the finite element formulation of the incompressible Navier–Stokes equations , 2002 .

[19]  J. Frandsen Numerical bridge deck studies using finite elements. Part I: flutter , 2004 .

[20]  Octavian Frederich,et al.  Nonlinear airship aeroelasticity , 2005 .

[21]  R. Kamm,et al.  A fluid--structure interaction finite element analysis of pulsatile blood flow through a compliant stenotic artery. , 1999, Journal of biomechanical engineering.

[22]  J. Vierendeels,et al.  Performance of partitioned procedures in fluid-structure interaction , 2010 .

[23]  E. Kuhl,et al.  An arbitrary Lagrangian Eulerian finite‐element approach for fluid–structure interaction phenomena , 2003 .

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

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