Practical Course SC

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

• Spatial Discretisation

Dr. Miriam Mehl
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Discretization

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

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Discretization

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

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Spatial Discretization

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

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Discretization II

• Re gtgt 1 oscillations!!!
• reason discrete convection terms
• remedy Donor cell scheme
• stable
• lower order of accuracy

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Boundaries

• continuous boundary conditions
• discrete boundary conditions
• modified discrete operators