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• W2019000742 abstract "We present a method to solve a convection-reaction system based on a least-squares finite element method (LSFEM). For steady-state computations, issues related to recirculation flow are stated and demonstrated with a simple example. The method can compute concentration profiles in open flow even when the generation term is small. This is the case for estimating hemolysis in blood. Time-dependent flows are computed with the space-time LSFEM discretization. We observe that the computed hemoglobin concentration can become negative in certain regions of the flow; it is a physically unacceptable result. To prevent this, we propose a quadratic transformation of variables. The transformed governing equation can be solved in a straightforward way by LSFEM with no sign of unphysical behavior. The effect of localized high shear on blood damage is shown in a circular Couette-flow-with-blade configuration, and a physiological condition is tested in an arterial graft flow." @default.
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• W2019000742 date "2011-08-01" @default.
• W2019000742 modified "2023-09-26" @default.
• W2019000742 title "Space-time least-squares finite element method for convection-reaction system with transformed variables" @default.
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• W2019000742 doi "https://doi.org/10.1016/j.cma.2011.04.015" @default.
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