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Archivio digitale delle tesi discusse presso l’Università di Pisa

Tesi etd-05252023-161436


Tipo di tesi
Tesi di laurea magistrale
Autore
PENNONI, PAOLO
URN
etd-05252023-161436
Titolo
Numerical Simulation of a windkessel Systems
Dipartimento
INGEGNERIA CIVILE E INDUSTRIALE
Corso di studi
INGEGNERIA AEROSPAZIALE
Relatori
relatore Prof. Camarri, Simone
relatore Prof. Viola, Francesco
Parole chiave
  • Direct Numerical Simulation
  • Immersed boundary method.
  • Windkessel
Data inizio appello
13/06/2023
Consultabilità
Non consultabile
Data di rilascio
13/06/2026
Riassunto
In cardiovascular research windkessel refers to a simplified model used to mimic
the impedance of arteries and vessels. In the context of three-dimensional (3D)
numerical simulations, the windkessel model is parameterized as a 0D system
and the resulting system of ordinary differential equations is used as a boundary
condition to a subset of the cardiovascular system. However connecting this lower
dimensional model to the 3D simulation is ill posed, since the coupling relies in
assuming the velocity and/or pressure distribution at the inlets/outlets of the 3D
system.
As an attempt to overcome the above mentioned issues, this master’s thesis
proposes a full 3D numerical solution of a windkessel system, which can be applied
as a 3D closed-loop condition in cardiovascular numerical simulations.. The
system is made of a cylindrical tube partially deformable, along with porous
and flow acceleration regions, in order to account for the resistive, capacitive
and inertial nature of the underlying vessels. The simulation employs a direct
numerical simulation of the Navier Stokes Equations for the fluid flow, whereas
immersed boundary method has been used to simulate the interaction between
fluid and the immersed bodies.
The results, in terms of pressure and flow-rate, are consistent with physiological
values and this model is promising to be incorporated in high-fidelity computational
models of the human heart.
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