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On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. (English) Zbl 1007.74035
Summary: For the analysis of flows in compliant vessels, we propose an approach to couple the original three-dimensional equations with a convenient one-dimensional model. This multi-scale strategy allows for a dramatic reduction of computational complexity, and is suitable for “absorbing” outgoing pressure waves. In particular, it is of interest for the description of blood motion in the arterial system.

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76D05 Navier-Stokes equations for incompressible viscous fluids
76Z05 Physiological flows
74S05 Finite element methods applied to problems in solid mechanics
92C10 Biomechanics
Full Text: DOI
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