Flow rate boundary conditions and multiscale modelling of the cardiovascular system in compliant domains
Alexandra Moura, Christian Vergara · WIT transactions on biomedicine and health · 2005
The prescription of boundary conditions is a critical issue in 3D blood flow simulations.To account for the whole cardiovascular system, we can impose data measurements or couple the 3D model with reduced ones (see [4,5,9]).In either cases only average (mean pressure or flow rate) data are normally available, which must be properly fed to the Navier-Stokes solver.In this paper we propose an algorithm to impose mean flow rate boundary conditions in a problem posed on a compliant domain.It is an extension of the approach advocated in [3,12].Furthermore we consider the coupling between a 3D fluid-structure interaction model and a lumped parameters (0D) one, representing the systemic tree.We extend the two coupling techniques in [2,11].In the first approach the reduced model provides the mean pressure to be imposed as defective boundary condition to the 3D model, which conversely will make ready the flow rate to the reduced model.In the second strategy the type of data to be exchanged is reversed.