Numerical coupling of <scp>0D</scp> and <scp>1D</scp> models in networks of vessels including transonic flow conditions. Application to short‐term transient and stationary hemodynamic simulation of postural changes

When modeling complex fluid networks using one-dimensional (1D) approaches, boundary conditions can be imposed zero-dimensional (0D) models. An application case is the of entire human circulation closed-loop These models considered as a tool to investigate short-term transient and stationary hemodynamic responses postural changes. The first shortcoming existing 1D methods in simulating these sudden maneuvers their inability deal with rapid variations flow conditions, they are limited subsonic case. On other hand, numerical 0D representing microvascular beds, venous valves or heart chambers also currently modeled assuming connecting vessels, failing when transonic supersonic appear. Therefore, if simulation goal models, it necessary reformulate current methodologies used coupling allowing correct handling evolution for both conditions. This work focuses on extension general methodology Junction Riemann Problem (JRP) As an example application, response head-up tilt (HUT) from supine upright position model shown, demonstrating potential, capability necessity presented dealing maneuvers.