Formaggia, Luca; Lamponi, Daniele; Quarteroni, Alfio One-dimensional models for blood flow in arteries. (English) Zbl 1070.76059 J. Eng. Math. 47, No. 3-4, 251-276 (2003). 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. Reviewer: Galina Camenschi (Bucureşti) Cited in 114 Documents 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.) Keywords:cardiovascular system; Navier-Stokes equations; finite element Taylor-Galerkin scheme PDFBibTeX XMLCite \textit{L. Formaggia} et al., J. Eng. Math. 47, No. 3--4, 251--276 (2003; Zbl 1070.76059) Full Text: DOI