Dr. Stephen Millmore (12 hours)

a) Material interfaces

b) Coupling

1. Challenges due to different equations of state
2. Advantages and disadvantages of diffuse and discrete interfaces

c) Diffused interface methods

1. Five/seven equation approaches
2. Mixture rules and the effect on sound speed

d) Tracked interface methods (level sets, ghost fluid methods, Cartesian cut cell methods)

1. Immersed boundary methods; introduction to level sets and volume of fluid
2. Update scheme for level set methods
3. Reinitialisation
4. Ghost fluid boundary conditions, from original method to the Riemann ghost fluid method
5. Ghost fluid method for rigid objects
6. Cut cell methods for rigid objects