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Topic: Discretization of the transient term for the transport equation

Replies: 4   Last Post: Sep 8, 2008 4:35 AM

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Posts: 10
Registered: 7/31/08
Discretization of the transient term for the transport equation

Posted: Sep 6, 2008 9:06 PM
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I want to use a second order implicit time integration scheme to solve
the advection-convection equation over relatively large time steps. I
found two options : Crank?Nicolson and the second order backward
differential formula (cf http://www.cfd-online.com/Wiki/Implicit_second_order_method).

For the Crank?Nicolson numerical scheme, a low CFL number is not
required for stability, but I think it is required for numerical
accuracy, so this method looks less interesting for me. Is the 2e
order BDF a better choice in this case ? I would appreciate advice on
this issue.



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