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

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dc.contributor.authorAbraham, Feby
dc.contributor.authorBehr, Marek
dc.contributor.authorHeinkenschloss, Matthias
dc.date.accessioned2018-06-18T17:52:02Z
dc.date.available2018-06-18T17:52:02Z
dc.date.issued2004-08
dc.date.noteAugust 2004
dc.description.abstractThis paper presents a numerical study of non-Newtonian effects on the solution of shape optimization problems involving unsteady pulsatile blood flow. We consider an idealized two-dimensional arterial graft geometry. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the Carreau-Yasuda model employed to account for the shear-thinning behavior of blood. Using a gradient-based optimization algorithm, we compare the optimal shapes obtained using both the Newtonian and generalized Newtonian constitutive equations. Depending on the shear rate prevalent in the domain, substantial differences in the flow as well as in the computed optimal shape are observed when the Newtonian constitutive equation is replaced by the Carreau-Yasuda model. By varying a geometric parameter in our test case, we investigate the influence of the shear rate on the solution.
dc.format.extent17 pp
dc.identifier.citationAbraham, Feby, Behr, Marek and Heinkenschloss, Matthias. "Shape Optimization in Unsteady Blood Flow: A Numerical Study of Non-Newtonian Effects." (2004) <a href="https://hdl.handle.net/1911/102026">https://hdl.handle.net/1911/102026</a>.
dc.identifier.digitalTR04-14
dc.identifier.urihttps://hdl.handle.net/1911/102026
dc.language.isoeng
dc.titleShape Optimization in Unsteady Blood Flow: A Numerical Study of Non-Newtonian Effects
dc.typeTechnical report
dc.type.dcmiText
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