Journal of Biomechanics
Volume 38, Issue 5 , Pages 1115-1127 , May 2005

Modeling rough stenoses by an immersed-boundary method

  • Alexander Yakhot

      Affiliations

    • Department of Mechanical Engineering, The Pearlstone Center for Aeronautical Engineering Studies, Ben-Gurion University of the Negev, Beersheva 84105, Israel
    • Corresponding Author InformationCorresponding author
    • ,
  • Leopold Grinberg

      Affiliations

    • Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beersheva 84105, Israel
    • ,
  • Nikolai Nikitin

      Affiliations

    • Institute of Mechanics, Moscow State University, 1 Michurinski prospekt, 119899 Moscow, Russia

,Accepted 12 May 2004.

References 

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  3. Back LH, Cho YI, Crawford DW, Cuffel RF. Effect of mild atherosclerosis on flow resistance in coronary artery casting of man. ASME Journal of Biomechanical Engineering. 1984;106:48–53
  4. Balaras E. Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations. Computers and Fluids. 2004;33:375–404
  5. Berger, S.A., Jou, L-D., 2000. Flows in stenotic vessels. Annual Review of Fluid Mechanics 32, 347–382–1262.
  6. Fadlun EA, Verzicco R, Orlandi P, Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. Journal of Computational Physics. 2000;161:35–66
  7. Grinberg, L., 2003. Numerical simulation of a flow around stenosis. M.Sc. Thesis, Ben-Gurion University, Beersheva, Israel.
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  11. Moore JA, Steiman DA, Holdsworth DW, Ethier CR. Accuracy of computational hemodynamics in complex arterial geometries reconstructed from magnetic resonance imaging. Annals of Biomedical Engineering. 1999;27:32–41
  12. Park, D.K., 1989. A biofluid mechanics study of arterial stenoses. M.Sc. Thesis, Lehigh University, Bethlehem, PA.
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  14. Swarztrauber PN. A direct method for the discrete solutions of separable elliptic equations. SIAM Journal of Numerical Analysis. 1974;11:1136–1150
  15. Tseng Yu-H, Ferziger J. A ghost-cell immersed boundary method for flow in complex geometry. Journal of Computational Physics. 2003;192:593–623
  16. White FM. Viscous Fluid Flow. New York: McGraw-Hill; 1991;
  17. Yakhot A, Grinberg L. Phase shift ellipses for pulsating flows. Physics of Fluids. 2003;15:2081–2083

PII: S0021-9290(04)00263-5

doi: 10.1016/j.jbiomech.2004.05.024

Journal of Biomechanics
Volume 38, Issue 5 , Pages 1115-1127 , May 2005

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