B2081 - Cardiovascular Computational Simulation M

Academic Year 2026/2027

  • Teaching Mode: In-person learning (entirely or partially)
  • Campus: Bologna
  • Corso: Second cycle degree programme (LM) in Mechanical Engineering (cod. 6721)

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.

 

The use of AI tools during the exam is prohibited in any form, including chatbots, text generators, advanced translators, content synthesizers, and tools integrated into devices.

Any use of AI is considered a violation of the principle of honesty and fairness set forth in the Policy and may result in the instructor's cancellation of the exam. The instructor remains responsible for ensuring the exam's validity.


Only writing instruments (pens, ballpoint pens, pencils) and a ruler (if deemed necessary by the student) are permitted during the exam.

STUDENTS WITH Specific Learning Disabilities (LD) OR TEMPORARY OR PERMANENT DISABILITIES


It is recommended to contact the relevant University office in good time (https://site.unibo.it/studenti-con-disabilita-e-dsa/it). They will be responsible for suggesting any adjustments to the students concerned. These adjustments must be submitted to the instructor for approval 15 days in advance, who will evaluate their suitability, also taking into account the course's learning objectives.


WORKING STUDENTS or ATHLETES:

ALLOWED. For each exam session, students who have acquired working student status may request an alternative exam session, i.e., a replacement for one of the regular exam sessions. Students must contact the instructor at least 14 days before the first exam session of the session to identify a common date for all requests received.

NOT ALLOWED. Given the nature of the exam, which requires the preparation of a specific written exam for each exam session, students who have acquired student-working status cannot request alternative or additional exam sessions.

ORAL EXAM ONLY ALLOWED. For each exam session, students who have acquired student-working status may request an alternative exam session (i.e., in place of one of the regular exam sessions) for the oral portion only. Students must contact the instructor at least 14 days before the first exam session scheduled for the exam session to arrange a common date for all requests received. However, the nature of the written exam does not allow for alternative or additional exam sessions.

"In accordance with the University Code of Ethics, students are urged to maintain the utmost integrity. Any activity aimed at improperly altering the outcome of exams (e.g., cheating, plagiarism, accessing online learning resources, or using unauthorized AI tools) is prohibited. In particular, the mere possession of unauthorized equipment or materials during the exam will result in the immediate cancellation of the exam and reporting to the relevant authorities.

Conduct violating this prohibition may result in disciplinary proceedings or reporting to the relevant authorities, if criminally relevant; in the latter case, there is a risk that the students involved may face criminal proceedings."

Teaching tools

VIRTUAL PLATFORM: presentations and lessons uploaded by the teacher

Office hours

See the website of Stefania Falfari

SDGs

Good health and well-being Quality education

This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.