B2081 - Cardiovascular Computational Simulation M

Learning outcomes

At the end of the course, the student will acquire the theoretical and numerical knowledge and basic tools for understanding the bio-fluid dynamics phenomena that occur both in the circulatory system (arteries, veins, heart) and in the main biomedical devices. The course will allow the student to create one-, two- and three-dimensional models of the main components of the cardiovascular system.

Course contents

COMPUTATIONAL FLUID DYNAMICS

-What is CFD (Computational Fluid-Dynamics)

-Equations (Navier Stokes)

- Eulerian method of discretization of the 2nd time order (control volume)

-Mesh for the fluid part

FLUID-STRUCTURE INTERACTION

- "Solid" part modeling equations (solid mechanics):

-Classical elliptic equation (2nd temporal and spatial order)

- Hooke's law

-HYPERELASTIC models (Saint Venant – Kirchhoff model)

-Fluid-structure interaction:

-Arbitrary Lagrangian Eulerian (ALE)

-MONOLITHIC SOLUTORS: direct fluid-structure coupling (only 1 computational domain)

BLOOD FLUID DYNAMICS:

-Laminar motion and turbulent motion

-Viscosity (Newton's law)

-Newtonian fluids

-Non-Newtonian fluids

-Blood

-Rheology of blood

-The cardiovascular system

Readings/Bibliography

FISIOLOGIA CARDIOVASCOLARE

"Fisiologia di Berne e Levy" Bruce M. Koeppen, Bruce A. Stanton, CEA 2019

"Fisiologia cardiovascolare" P. Pagliaro, C. Penna, EdiSES università editore

"Biomechanics – Mechanical Properties of Living Tissues" Y. C. Fund, Springer editore

"Computational Modeling in Biomechanics – Section II: Cardiovascular Biomechanics", Suvranu De, Farshid Guilak, Mohammad R.K. Mofrad, Springer editore

FLUIDODINAMICA

"Computational Methods for Fluid Dynamics" Joel H. Ferziger, Milovan Peric, Robert L. Street, 4° edizione, SPRINGER editore

Teaching methods

'VIRTUAL' PLATFORM:

Lectures and/or presentations uploaded at the end of the lesson.

Assessment methods

Oral exam aimed at understanding whether the student has mastered the basic theoretical and numerical tools for modeling bio-fluid dynamic phenomena. To verify the ability to manage a simple bio-fluid dynamic CFD calculation (in the OpenFOAM environment), each student, part of a group of 3 or 4 students, will present a short essay containing the results of a simple 3D CFD simulation of a cardiac pathology, whose geometry and initial data and boundary conditions will be provided in class by the teacher.


The final grade will consist of:


1. for 60%: verification of the skills acquired in terms of understanding the fluid dynamic problem posed, generation of the mesh, setup of the simulation and critical analysis of the results obtained;


2. for 40%: ability to clearly explain the theoretical bases that were used in managing the simulation.

Teaching tools

VIRTUAL PLATFORM: presentations and lessons uploaded by the teacher

Office hours

See the website of Stefania Falfari