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Articles

A time-dependent numerical analysis of flow in a mechanical heart valve: Comparison with experimental results

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Pages 157-168 | Received 30 Mar 2010, Accepted 30 May 2010, Published online: 09 Nov 2010

References

  • Amestoy , P. 2002 . A fully asynchronous multifrontal solver using distributed dynamic scheduling . SIAM Journal on Matrix Analysis and Applications , 23 ( 1 ) : 15 – 41 .
  • Amestoy , P. 2006 . Hybrid scheduling for the parallel solution of linear systems . Parallel Computing , 32 ( 2 ) : 136 – 156 .
  • Cairncrossa , R. 2000 . A finite element method for free surface flows of incompressible fluids in three dimensions. Part I. Boundary fitted mesh motion . International Journal for Numerical Methods in Fluids , 33 : 375 – 403 .
  • Chandran , K. , Schoephoerster , R. and Dellsperger , K. 1989 . Effect of prosthetic mitral valve geometry and orientation on flow dynamics in a model human left ventricle . Journal of Biomechanics , 22 ( 1 ) : 51 – 65 .
  • Degroote , J. , Bathe , K. and Vierendeels , J. 2009 . Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction . Computers and Structures , 87 ( 11–12 ) : 793 – 801 .
  • Dumont , K. 2004 . Validation of a fluid-structure interaction model of a heart valve using the dynamic mesh method in fluent . Computer Methods in Biomechanics and Biomedical Engineering , 7 ( 3 ) : 139 – 146 .
  • Engelman , M. and Sani , R. 1982 . The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow . International Journal for Numerical Methods in Fluids , 2 : 225 – 238 .
  • Forsythe , N. and Mueller , J. 2008 . Validation of a fluid-structure interaction model for a bileaflet mechanical heart valve . International Journal of Computational Fluid Dynamics , 22 ( 8 ) : 541 – 553 .
  • Hart , J. 2000 . A two-dimensional fluid-structure interaction model of the aortic valve . Journal of Biomechanics , 33 : 1079 – 1088 .
  • Heil , M. , Hazel , A. and Boyle , J. 2008 . Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches . Computational Mechanics , 43 : 91 – 101 .
  • Kidane , A. 2009 . Current developments and future prospects for heart valve replacement therapy . Journal of Biomedical Materials Research – Part B Applied Biomaterials , 88 ( 1 ) : 290 – 303 .
  • Kovács , S. , McQueen , D. and Peskin , C. 2001 . Modelling cardiac fluid dynamics and diastolic function . Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences , 359 ( 1783 ) : 1299 – 1314 .
  • Krishnan , S. 2006 . Two-dimensional dynamic simulation of platelet activation during mechanical heart valve closure . Annals of biomedical engineering , 34 ( 10 ) : 1519 – 1534 .
  • Malvern , L. 1969 . Introduction to the mechanics of a continuous medium , Englewood Cliffs NJ : Prentice-Hall Inc .
  • McQueen , D. and Peskin , C. 1989 . A three-dimensional computational method for blood flow in the heart. II. contractile fiber . Journal of Computational Physics , 82 ( 2 ) : 289 – 297 .
  • McQueen , D. and Peskin , C. 2000 . A three-dimensional computer model of the human heart for studying cardiac fluid dynamics . Computer Graphics (ACM) , 34 ( 1 ) : 56 – 60 .
  • Penrose , J. and Staples , C. 2002 . Implicit fluid-structure coupling for simulation of cardiovascular problems . International Journal for Numerical Methods in Fluids , 40 ( 3–4 ) : 467 – 478 .
  • Peskin , C. 1972 . Flow patterns around heart valves: A numerical method . Journal of Computational Physics , 10 : 252 – 271 .
  • Peskin , C. and McQueen , D. 1989 . A three-dimensional computational method for blood flow in the heart I. Immersed elastic fibers in a viscous incompressible fluid . Journal of Computational Physics , 81 ( 2 ) : 372 – 405 .
  • Peskin , C. and McQueen , D. 1995 . A general method for the computer simulation of biological systems interacting with fluids . Symposia of the Society for Experimental Biology , 49 : 265 – 276 .
  • Sackinger , P. , Schunk , P. and Rao , R. 1996 . A Newton–Raphson pseudo-solid domain mapping technique for free and moving boundary problems: a finite element implementation . Journal of Computational Physics , 125 ( 0081 ) : 83 – 103 .
  • Sotiropoulos , F. and Borazjani , I. 2009 . A review of state-of-the-art numerical methods for simulating flow through mechanical heart valves . Medical and Biological Engineering and Computing , 47 ( 3 ) : 245 – 256 .
  • Stijnen , J. 2004 . Evaluation of a fictitious domain method for predicting dynamic response of mechanical heart valves . Journal of Fluids and Structures , 19 : 835 – 850 .
  • van Loon , R. 2007 . Comparison of various fluid-structure interaction methods for deformable bodies . Computers and Structures , 85 : 833 – 843 .
  • Yoganathan , A. , Chandran , K. and Sotiropoulos , F. 2005 . Flow in prosthetic heart valves: state-of-the-Art and future directions . Annals of Biomedical Engineering , 33 ( 12 ) : 1689 – 1694 .

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