1. Spatial Discretisation
Institut für
Informatik
Scientific Computing
in Computer Science
Practical Course SC & V
Spatial Discretisation
Dr. Miriam Mehl

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

3. Discretization finite number of unknowns finite number of equations
order of accuracy?
stability?

4. Spatial Discretization
discretization of the momentum equations
discretization of boundary conditions
side condition

5. Discretization II Re >> 1 oscillations!!!
reason: discrete convection terms
remedy: Donor cell scheme
stable
lower order of accuracy

6. Boundaries continuous boundary conditions discrete boundary conditions
modified discrete operators