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

2. Discrete Boundary Conditions five types of surface cells discrete stress = 0 auxiliary construct: gravity compute values only once! definition of boundary conditions: variables to be fixed available relations / laws

3. Surface Cell Types 1 empty neighbour

4. Surface Cell Types 2 empty neighbours, across

5. Surface Cell Types 2 empty neighbours, opposite

6. Surface Cell Types 3 empty neighbours

7. Surface Cell Types 4 empty neighbours

8. Algorithm (Time Step) (1)compute time step dt (particle positions) (2)mark fluid/surface/empty cells (3)set boundary values (+ free surface) (4)compute preliminary velocities (5)solve pressure equation (6)compute final velocities