Can you put together the simplest script possible that demonstrates
the problem and I'll try and debug it? Thanks.

On Thu, May 6, 2010 at 2:01 PM, Eduard Manley <[email protected]> wrote:
> Thanks for your reply.
>
> I probably found the reason of the problem.
>
> As said before I'm trying to solve an eq of this type:
>
> A(d phi/d t) =  div (D grad phi) + q
>
> where A and D are costant coefficient and q is a spatially varying heat
> source.
>
> The problem is in how I create the cylindrical 1D mesh (origin of the mesh
> is not in 0.).
>
> It doesn't matter if the discretization is logarithmic or uniform but how I
> declare it:
>
> (using a uniform spacing:)
>
> **  mesh = CylindricalGrid1D(dx=dr, nx=(len(DR))) + (r_int,)  **
> SHOULD BE EQUAL TO:
>
> **  mesh = CylindricalGrid1D(dx=DR) + (r_int,)  **
>
> [dr = 5e-04, nr=58, r_int=0.00125, DR is a list which contains the various
> dx(58 elements of value dr for uniform grid)]
>
> BUT It is NOT.
>
> The mesh (cell centers, facecenters) is ok but the results are NOT.
> The results are right only if I create the mesh using dx=dr and nx=.. .
> And this is why before I thought the problem was the logaritmic
> discretization (must use DR=[...]).
>
> As said before with Cylindrical 2D mesh results are instead correct.
> Is this a bug?
>
>> Date: Thu, 6 May 2010 11:11:10 -0400
>> From: [email protected]
>> To: [email protected]
>> Subject: Re: Problem in solving Poisson equation with 1D Cylindrical mesh
>>
>>
>> Edward, This may be to do with having a very small volume (or area or
>> line or point) for the inner most element of the domain. It should be
>> the same whether one is using a 1D or 2D mesh. Since you are getting
>> differences in the 1D and 2D case, it should be relatively easy to
>> debug and figure out what's going on It could also be that the
>> boundary condition on the inner boundary as zero area and this is
>> causing issues. Try shifting the grid by a small value away from the
>> zero point and see if things are improved. I have always had this
>> issue with cylindrical grids and have never really had a satisfactory
>> solution (other than shifting away from the zero point). If you
>> discover a better way to handle this, let me know. Cheers.
>>
>>
>> If you can't debug it, then send me the most minimalist scripts that
>> show the issue and I'll give it a shot.
>>
>> On Wed, May 5, 2010 at 9:53 PM, Eduard Manley <[email protected]>
>> wrote:
>> > Problem partially solved:
>> >
>> > I'm using a logarithmic discretization (first dr= 5e-04 and next
>> > dr increasing as 1.05)(with internal radius= 0.00125, external
>> > radius=0.03)
>> > and,
>> > for some unknown reason this create problems and wrong result with
>> > cylindrical 1D mesh. I tried using a uniform discretization (dr=5e-04
>> > nx=58)
>> > and now the result is correct.
>> >
>> > However I need to use the logarithmic discr. so after some hours of
>> > sleep
>> > I'll think about the reason.....
>> >
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>>
>>
>>
>> --
>> Daniel Wheeler
>>
>>
>
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-- 
Daniel Wheeler


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