1. Practical Course SC & V Free Boundary Value Problems Prof. Dr. Hans-Joachim Bungartz Institut für Informatik Schwerpunkt Wissenschaftliches Rechnen

2. Examples

3. Domain Representation imaginary fluid particles fluid cell: #particles 1 empty cell: #particles = 0 obstacle cell

4. Domain Representation

5. Domain Implementation particles Particle_Lines cell types 3 possibilities each update for each time step!!! celleastwestnorthsouth

6. Algorithmic Changes extended initialization time loop: –update cell types –set u,v,p at the free boundary –perform computations inside the fluid –update particle positions

7. Boundary Values edges between fluid and empty cells edges adjacent to fluid cells pressure in surface cells

8. Boundary Conditions equlibrium: surface tension surface stress neglection of surface tension zero stress components