Exact unsteady Stokes test case
Hi all,
For stability and accuracy testing purpose I'm looking for an exact unsteady Stokes flow test case. (incompressible with Re = 0) I've been looking in many papers and books and I wasn't able to find one. Thanks in advance :) 
The exact solution is u=0. :)

Quote:

Some exact solutions
Refer to Gresho & Sani, Incompressible Flow and the Finite Element Method (1998), section 3.16.1d, p660. These are 2D Taylor vortex solutions and generalizations. They have periodic boundary conditions and decay exponentially from their initial condition. Not very interesting or challenging (basically they are eigenfunctions of the Laplacian operator).
More interesting behaviors are limited to 1D. 
Thanks for the reference (those having the two volumes edition should look at page 750).
I'll try to derive a Stokes flow test case from it (with nu=1 and a forcing function) and see how it will look :) 
For those interested I also found this test case:
Code:
u = sin(x)sin(y+t) 
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