Practical Course SC

1
Practical Course SC V
Schwerpunkt Wissenschaftliches Rechnen
Institut für Informatik

• Discretization
• Basic Algorithm

Dr. Miriam Mehl
2
Navier-Stokes Equations

• momentum equation
• change of velocities in time
• dependence of velocities and pressure
• continuity equation
• side condition
• dependence of velocities

3
Navier-Stokes Discretization

• discretization of the momentum equations
• discretization of boundary conditions
• time discretization
• side condition

4
Discretization

• continuous (analytical) representation
• discrete (computer) representation
• 1) geometry
• 2) functions
• 3) operators

5
Discretization

• finite number of unknowns
• finite number of equations
• order of accuracy?
• stability?