Abstract

The discretization of reduced one-dimensional hyperbolic models of blood flow using the Lax–Friedrichs method is discussed. Deriving the well-established scheme from a relaxation approachleads to new simplified boundary and coupling conditions in vascular networks accounting e.g.for vascular occlusions and bifurcations. In particular, blood flow modeling in networks of ves-sels can be realized with minimal information on the eigenstructure of the coupled models. Thescheme, a MUSCL-type extension and the coupling conditions are obtained evaluating a discreterelaxation limit. Numerical experiments in uncoupled and coupled cases verify the consistencyand convergence of the approach.

Reference

Computer Methods in Biomechanics and Biomedical Engineering (2025), 1–14