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Models and finite element techniques for blood flow simulation. (English) Zbl 1131.76063

Summary: We present recent advances in the computational analysis of blood flow devices. Flow simulation techniques relevant to blood pump design based on stabilized finite element formulations and a deforming-mesh space-time approach are outlined, and the results are compared with experimentally obtained data for a rotary blood pump. Flow prediction is augmented by a strain-based morphology-tensor numerical model capable of quantifying mechanical blood damage. For more accurate representation of blood constitutive behavior, a stabilized finite element formulation for viscoelastic fluids of Oldroyd-B type is also under development. Taken together, this collection of numerical techniques has the potential of significantly improving predictive capabilities of computational fluid dynamics during the development stage of blood flow devices.

MSC:

76Z05 Physiological flows
76M10 Finite element methods applied to problems in fluid mechanics
76A10 Viscoelastic fluids
76U05 General theory of rotating fluids
92C35 Physiological flow
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