On the coupling of 3D and 1D Navier–Stokes equations for flow problems in compliant vessels Original Research Article

For the analysis of flows in compliant vessels, we propose an approach to couple the original 3D equations with a convenient 1D model. This multi-scale strategy allows for a dramatic reduction of the computational complexity and is suitable for “absorbing” outgoing pressure waves. In particular, it is of utmost interest for the description of blood motion in the arterial system.