High-Fidelity Simulations Using Basilisk C

What will you learn?

• Think before you compute! Understanding the physics before implementation
• Writing the first code in Basilisk C Getting comfortable with the framework
• Solving conservation equations Numerical approaches to fluid dynamics
• Interface tracking methods Capturing multiphase phenomena accurately
• Non-Newtonian flows Modeling complex rheological behaviors

Course Description

This intensive 4-day course provides a comprehensive introduction to high-fidelity simulations using Basilisk C, a powerful computational framework for fluid dynamics. Participants will learn to implement and solve complex fluid mechanics problems with an emphasis on multiphase flows, interface dynamics, and non-Newtonian rheology.

The course combines theoretical lectures with extensive hands-on sessions, allowing participants to immediately apply concepts through guided coding exercises. By the end of the course, you’ll be able to develop your own simulations for a variety of fluid dynamics applications.

Course Schedule

Monday: Foundations

Think before you compute

• 10:00-11:30

  Lecture (1a)

  • Conservation laws and the numerical solution of the Navier–Stokes equations

• 11:45-13:00

  Lecture (1b)

  • Transport equations
  • Brief intro to Basilisk coding framework

First coding steps

• 15:00-18:00

  Hybrid Session

  • Implementing basic transport equations in Basilisk C.
  • Using headers in Basilisk, modular code structure, problem setup, and compilation
  • Whiteboard + coding
  • 1st Working Assignment

Tuesday: Advanced Implementation

Coding like a pro

• 10:00-11:15

  Hackathon (1c)

  • Solving Navier–Stokes equations in Basilisk C.
  • 2nd Working Assignment

• 11:30-13:00

  Hackathon Continued

  • Expanding on the morning tasks and code debugging

Wednesday: Interface Dynamics

Interface tracking methods

• 10:00-11:30

  Lecture (2a)

  • Interface tracking methods (VoF, level set, phase-field approaches) and numerical strategies

• 11:45-13:00

  Hackathon (2b)

  • Hands-on tutorial with interface-tracking to a simple two-phase problem
  • 3rd Working Assignment

Seminar

• 13:30-14:00

  Department seminar (2c)

  • A note on the thrust of airfoils by José Manuel Gordillo

Non-Newtonian flows

• 15:00-16:00

  Lecture (3a)

  • Non-Newtonian flows: viscoelasticity.

• 16:15-18:00

  Hackathon (3b)

  • Coding exercises for viscoelastic fluids.
  • 4th Working Assignment

Thursday: Special Topics

Special topics

• 10:00-11:30

  Lecture (4a)

  • Review and catching up on 4th Working Assignment.
  • Special Topics: Three-phase flows,

• 11:45-13:00

  Hackathon (4b)

  • Special Topics: Holey Sheets, Contact line dynamics.

• 15:00-16:30

  Lecture (4c)

  • Open discussion, deeper dives into advanced features, final code reviews, and next steps.

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Prerequisites

• Basic knowledge of fluid mechanics
• Experience with programming (any language, C preferred)
• Understanding of partial differential equations
• Laptop with ability to compile C code

Registration

For registration details, please contact