Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

Extensions to the Roe and HLL method have been previously formulated in order to solve
the Shallow Water equations in the presence of source terms. These were named the …

Nowadays mathematical models and numerical simulations are widely used in the field of
hemodynamics, representing a valuable resource to better understand physiological and …

We herein present a novel methodology to construct very high order well-balanced schemes
for the computation of the Euler equations with gravitational source term, with application to …

A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction
between the fluid flow and the biological structure that contains it, namely the vessel wall …

In this paper, we are interested in the numerical study of the one-dimensional blood flow
model with discontinuous mechanical and geometrical properties. We present the …

When modeling complex fluid networks using one‐dimensional (1D) approaches, boundary
conditions can be imposed using zero‐dimensional (0D) models. An application case is the …

The numerical modeling of one-dimensional (1D) domains joined by symmetric or
asymmetric bifurcations or arbitrary junctions is still a challenge in the context of hyperbolic …

An important feature of the two-layer shallow flow model is that the resulting system of
equations cannot be expressed in conservation-law form. Here, the HLLS and ARoe solvers …

In this paper, a multiscale constitutive framework for one-dimensional blood flow modeling is
presented and discussed. By analyzing the asymptotic limits of the proposed model, it is …