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One-dimensional models for blood flow in arteries. (English) Zbl 1070.76059

The authors investigate a one-dimensional simplified model of blood flow, obtained by integrating the Navier-Stokes equations over an axial section. The modes describes the pressure-wave propagation in arterial system taking into account the vessel-wall inertia, longitudinal prestress and viscoelasticity. Numerical simulation based on finite element Taylor-Galerkin scheme provide a resonable description of pressure-wave propagation in the arterial tree.

MSC:

76Z05 Physiological flows
76M10 Finite element methods applied to problems in fluid mechanics
92C35 Physiological flow
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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