For those who're interested, a test using different solvers yield the
following results.

First sign of leakage occurs at time step:

529      -  default solver
529      -  linearPCG
1597    -  linearLU
>2000  -  linearCGS
>2000  -  linearGMRES

Jonathan has also helpfully informed me of the difference between np.trapz
and direct cell volume calculation. The former indeed returns a reduced
value for the reason suggested.

Thanks again for the kind assistance.

Cheers,

Yun


On Fri, Jul 6, 2012 at 7:31 AM, Daniel Wheeler <[email protected]>wrote:

> On Tue, Jul 3, 2012 at 1:34 AM, Yun Tao <[email protected]> wrote:
>
>> Hm. Reducing the mesh range (l=50. -> l=30.) does seem to introduce
>> leaking even when the initial cell volume = 1 (timestep 485). Why would the
>> domain matter when the BCs are zero-flux?
>
>
> The cell volumes averages do change, but very slowly. This could be due
> round off in the solver. The np.trapz seems to be very different from the
> cell average. Is that calculation taking into account that the values are
> cell centered so the end points may not be weighted correctly?
>
> --
> Daniel Wheeler
>
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-- 
Graduate Group of Ecology Doctoral Candidate
Department of Environmental Science and Policy
Center for Population Biology
University of California, Davis
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