MODELING FLUID FLOWS IN DISTENSIBLE TUBES FOR APPLICATIONS IN HEMODYNAMICS

X. Descovich, G. Pontrelli (), S. Melchionna, S. Succi and S. Wassertheurer
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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

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 05, 1-20

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.

Keywords: Lattice Bottzmann method; elastic walls; hemodynamics; stents; 47.63.Cb; 87.10; 87.19 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500307

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