Shape Optimization in Stationary Blood Flow : A Numerical Study of Non-Newtonian Effects

@inproceedings{Abraham2004ShapeOI,
title={Shape Optimization in Stationary Blood Flow : A Numerical Study of Non-Newtonian Effects},
author={Feby Abraham and Marek Behr and Matthias Heinkenschloss},
year={2004}
}

We investigate the influence of the fluid constitutive model on the outcome of shape optimization tasks, motivated by optimal design problems in biomedical engineering. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the CarreauYasuda model employed to account for the shear-thinning behavior of blood. The generalized Newtonian treatment exhibits striking differences in the velocity field for smaller shear rates. We apply sensitivity-based… CONTINUE READING