Hi Michael,
I think this paper explains the issue better than I can,
https://www.researchgate.net/publication/263972969_ANALYSIS_OF_THE_NON-ORTHOGONALITY_CORRECTION_OF_FINITE_VOLUME_DISCRETIZATION_ON_UNSTRUCTURED_MESHES
Figure 2 shows the control volume and Figure 3 shows the skewness issue.
Cheers,
Daniel
On Wed, Jul 20, 2016 at 4:30 PM, Michael Waters wrote:
> Hi, I'm not sure I understand the issue. Maybe you could explain more? I
> made a diagram to help.
>
> Cheers,
>
> -Mike Waters
>
>
>
> On 07/20/2016 02:51 PM, Daniel Wheeler wrote:
>>
>> FiPy has issues with non-orthogonal meshes (i.e. when the vector
>> between the cell center isn't parallel to the face normal). We did
>> make an attempt at fixing this, which resulted in two diffusion terms,
>>
>>
>> https://github.com/usnistgov/fipy/blob/develop/fipy/terms/diffusionTermCorrection.py
>>
>> and
>>
>>
>> https://github.com/usnistgov/fipy/blob/develop/fipy/terms/diffusionTermNoCorrection.py
>>
>> As I recall, the "corrected" diffusion term was quite unstable for
>> moderate to high non-orthogonality.
>>
>> I'd like to address this issue again and I was wondering if anyone had
>> opinions regarding the latest / best / most tractable approach for
>> dealing with non-orthogonality in CC-FV. I haven't followed the
>> literature on this for quite some time.
>>
>
>
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Daniel Wheeler
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