AEROSP 523 Computational Fluid Dynamics: Code Examples

This site hosts the code examples I use in the University of Michigan’s AEROSP 523 CFD course.

• Getting Started with Python
• Week 1
  • Introduction to JAX
  • One application : gradient based optimization
  • Root finding methods
  • Homework 1 - Solution
• Week 2
  • Finite Difference Approximations
  • Homework 2 code solution
• Week 3
  • The Finite Difference Method: 1D steady state heat transfer
• Week 4
  • Iterative linear solvers
• Week 5
  • Multigrid
• Week 6
  • Initial Value Problems
• Week 9
  • Analyzing the mesh
• Week 10
  • Neural flux limiter demo
  • Problem setup
  • Learning second-order TVD flux limiter via differentiable solvers
  • Out-of-distribution test
• Week 11
  • Lid-Driven Cavity Problem: Vorticity-Streamfunction Approach

Acknowledgements

Several of the examples on this site are inspired by code originally written by Prof Krzysztof Fidkowski, and were adapted in many cases to use JAX with the help of Prof Venkat Viswanathan. Several of the figures used in the examples are taken from Professor Fidkowski’s excellent CFD course notes.

This website was created by Alasdair C. Gray during Fall 2023 and completed by Marie J. Vaucher during Fall 2024.