Spatial Discretisation

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Presentation transcript:

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

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

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

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

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

Boundaries continuous boundary conditions discrete boundary conditions modified discrete operators

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