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Practical Course SC & V

Scientific Computing in Computer Science. Institut für Informatik. Practical Course SC & V. Time Discretisation. Dr. Miriam Mehl. Time Discretisation. Euler step for momentum equations pressure ensures mass conservation poisson equation correction of velocities. Time Step – Stability.

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Practical Course SC & V

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

  2. Time Discretisation • Euler step for momentum equations • pressure ensures mass conservation • poisson equation • correction of velocities

  3. Time Step – Stability • small reynolds number: dt < dx2 • high reynolds number:dt < dx

  4. Algorithm (One Time Step) • compute time step dt • set boundary values • compute preliminary velocities • solve pressure equation • compute final velocities

  5. Debugging • simple setup: • one(!!!) time step • external forces zero • test preliminary velocities at boundaries • test residual of the pressure equation

  6. Debugging • enhanced setup: • initialize velocities constant butwith nonzero boundary values • test preliminary velocities

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