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2 Modelling and Optimization of Physical Systems

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Modelling of hemodynamics in 3D bypass models

Vimmr J., Jonasova A.

Modelling and Optimization of Physical Systems

2010

z. 9

87--92

The study is divided into two parts. The first one deals with the modelling of non-Newtonian effects in occluded femoral bypass considering steady blood flow. The second part is devoted to the analysis of pulsatile Newtonian blood flow in stenosed coronary bypass applying realistic inlet flow rates. The bypass models are assumed to be idealized and complete, i.e. the native artery and the bypass graft are modelled as tubes with both proximal and distal parts. The governing equations are solved numerically with explicit and implicit schemes formulated in the sense of the finite volume method using developed in-house software.

Tato studie je rozdělena na dvě části. První se zabývá modelováním nenewtonských efektů ve femorálním bypassu pří uvažováni ustáleného proudění krve. Druhá část je věnována analýze pulzujícího proudění krve jakožto newtonské kapaliny v koronárním bypassu. Matematický model je řešen pomocí explicitních a implicitních schémat formulovaných ve smyslu metody konečných objemů a za použití vlastního vyvinutého softwaru.

Influence of junction angle on hemodynamics in a bypass model

Vimmr J., Jonasova A.

Modelling and Optimization of Physical Systems

2007

z. 6

153--156

The problem of steady laminar flow of an incompressible Newtonian fluid through an idealized 2-D bypass model with a stenosed coronary artery is solved using the finite volume approach of the MacCormack and Runge-Kutta schemes. The bypass model includes proximal and distal parts of the artery together with end-to-side graft. The changes of hemodynamics are investigated with three different junction angles (ɑ = 20°,45°,70°) between the graft and the artery. The velocity and wall shear stress distributions obtained using both numerical schemes for all three cases are analyzed and compared with each other.