
Discretization of the transient term for the transport equation [NEWBIE QUESTION]
Posted:
Sep 6, 2008 9:06 PM


I want to use a second order implicit time integration scheme to solve the advectionconvection equation over relatively large time steps. I found two options : Crank?Nicolson and the second order backward differential formula (cf http://www.cfdonline.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.
Thanks,
Christine

