Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …

Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

We present a systematic comparison of computational hemodynamics in arteries between a
one‐dimensional (1‐D) and a three‐dimensional (3‐D) formulation with deformable vessel …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

In computational fluid dynamics, incoming velocity at open boundaries, or backflow, often
yields unphysical instabilities already for moderate Reynolds numbers. Several treatments …

One-dimensional (1-D) arterial blood flow modelling was tested in a series of idealized
vascular geometries representing the abdominal aorta, common carotid and iliac arteries …

A novel staggered semi-implicit finite volume method for the simulation of one-dimensional
blood flow in networks of elastic and viscoelastic vessels is proposed. The one-dimensional …

Blood pulsatility, aneurysms, stenoses and general low shear stress hemodynamics
enhance non-Newtonian blood effects which generate local changes in the space-time …

In this work we deal with the numerical solution of the fluid–structure interaction problem
arising in the haemodynamic environment. In particular, we consider BDF and Newmark …