Practical Course SC

1
Practical Course SC V
Scientific Computing in Computer Science
Institut für Informatik

• Spatial Discretisation

Dr. Miriam Mehl
2
Time-Discretization

• Euler step for momentum equations
• pressure ensures mass conservation
• poisson equation
• correction of velocities

3
Time Step Stability

• small Reynolds number dt lt dx2
• high Reynolds number dt lt dx

4
Boundaries

• discrete momentum equations
• discrete boundary conditions for pressure

5
Algorithm (One Time Step)

• compute time step dt
• set boundary values
• compute preliminary velocities
• solve pressure equation
• compute final velocities