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Modeling Fluid Flows In Distensible Tubes For Applications In Hemodynamics

Author

Listed:
  • X. DESCOVICH

    (Institute of Analysis and Scientific Computing, Vienna University of Technology, Wieder Hauptstrasse 8-10, 1040 Wien, Austria)

  • G. PONTRELLI

    (IAC-CNR, Istituto per le Applicazioni del Calcolo, Via dei Taurini 19 – 00185 Roma, Italy)

  • S. MELCHIONNA

    (IPCF-CNR, Istituto Processi Chimico-Fisici, Department of Physics, University La Sapienza, P. le A. Moro 2 – 00185 Roma, Italy)

  • S. SUCCI

    (IAC-CNR, Istituto per le Applicazioni del Calcolo, Via dei Taurini 19 – 00185 Roma, Italy)

  • S. WASSERTHEURER

    (AIT Austrian Institute of Technology GmbH, Donau-City-Strasse 1, 1220 Wien, Austria)

Abstract

We present a lattice Boltzmann (LB) model for the simulation of hemodynamic flows in the presence of compliant walls. The new scheme is based on the use of a continuous bounce-back boundary condition, as combined with a dynamic constitutive relation between the flow pressure at the wall and the resulting wall deformation. The method is demonstrated for the case of two-dimensional (axisymmetric) pulsatile flows, showing clear evidence of elastic wave propagation of the wall perturbation in response to the fluid pressure. The extension of the present two-dimensional axisymmetric formulation to more general three-dimensional geometries is currently under investigation.

Suggested Citation

  • X. Descovich & G. Pontrelli & S. Melchionna & S. Succi & S. Wassertheurer, 2013. "Modeling Fluid Flows In Distensible Tubes For Applications In Hemodynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-20.
    • Handle: RePEc:wsi:ijmpcx:v:24:y:2013:i:05:n:s0129183113500307
    DOI: 10.1142/S0129183113500307
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