Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
Speaker |
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Dr. Anna Zaušková |
Affiliation | : | Institute of Numerical Simulation, Hamburg University of Technology, Germany |
Subject Area |
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Mathematics
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Venue |
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Lecture Hall - I, Dept of Mathematics
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Time |
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4.00 pm
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Date |
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February 15,2008 (Friday) |
Title |
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MATHEMATICAL MODELLING IN HEMODYNAMICS I |
Abstract | : |
2D Mathematical model an numerical simulations of non-Newtonian shear dependent flow with fluid-structure interaction We present a mathematical model for blood flow, which consists of the interaction between vessel wall movement and the flow in a 2D channel with constricted area of stenosis. The Newtonian, as well as two non-Newtonian fluids are considered and compared in numerical experiments. For the vessel wall deformation the generalized string equation for radial symmetric tube is used and extended to a stenosed vessel. The global iterative approach to approximate the fluid structure interaction is used. Numerical methods implemented in UG software toolbox are described. Some computational simulations and comparisons of special hemodynamical control quantities, measuring the risk zones in blood vessel are shown and discussed at the end.
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