01YLBM Lattice Boltzmann method

Classified credit

Attendance (max. 2 unexcused absences).
Credit test during the last lecture of the course covering the following topics:

Why is the method named after Ludwig Boltzmann? Briefly explain the physical background of the method, i.e., what DF f is, what its domain is, and what equation it satisfies in the continuous case.
Summary of the LBM construction:
- LBM discretization (space, time, velocities),
- characteristic method - how it is used
- why and how the Gauss-Hermite integration formula is used,
- what the resulting discrete lattice Boltzmann equation looks like
- how the discrete equation is solved numerically and why
Briefly describe the basic types of LBM boundary conditions - how do I make a solid wall, how do I prescribe flow into the area and outflow?
How do we determine which partial differential equation we are solving? (LBM analysis: equivalent PDE, difference between derivation of advection-diffusion equation and Navier-Stokes equations)