Shelly McGee, Padmanabhan Seshaiyer
Abstract:
Understanding chemical transport in blood flow involves coupling
the chemical transport process with flow equations describing
the blood and plasma in the membrane wall. In this work, we
consider a coupled two-dimensional model with transient
Navier-Stokes equation to model the blood flow in the vessel
and Darcy's flow to model the plasma flow through the vessel wall.
The advection-diffusion equation is coupled with the velocities
from the flows in the vessel and wall, respectively to model
the transport of the chemical. The coupled chemical transport
equations are discretized by the finite difference method and
the resulting system is solved using the additive Schwarz method.
Development of the model and related analytical and numerical
results are presented in this work.
Published April 15, 2009.
Math Subject Classifications: 65N30, 65N15.
Key Words: Finite difference; coupled; flow-transport.
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Shelly McGee Department of Mathematics, University of Findlay Findlay, OH 45840, USA email: mcgee@findlay.edu | |
Padmanabhan Seshaiyer Mathematical Sciences, George Mason University Fairfax, VA 22030, USA email: pseshaiy@gmu.edu |
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