[Getdp] [GetDP] Calculation of an Integral quantity
Matt Koch
mattkoch at scitex.us
Sat May 5 16:49:28 CEST 2007
Hello Olivier,
thank you kindly for your reply. I took some time this morning to
review your "Torus3D" example, trying to see if I could figure out
what X vs. XS is. I noticed a couple of things that are not clear to me:
1) In FunctionSpace, you define function spaces on "D_tot" and
"CoilSection", in Formulation, you define an Equation in these, but
you also use that FunctionSpace to define two Quantities that work on
"Coil", namely "a2" and "B2". How can a Quantity be defined on a
region ("Coil") when it has no function space there?
2) I did note your use of X vs XS, but I still do not understand. To
begin with, you seem to use J_s only, defined on X, and not
J_s_source, defined on XS. So what is the point of working with XS?
And then, how does one know when one is on X and when one is on XS? Or
in other words, I sort of know that X are just the coordinates in the
domain (they probably fall right out of the mesh), but what does XS
represent? Does XS only become meaningful if I use certain functions?
Can I define where I want my XS to be? If so, how?
3) The expression "Q(X,...) = \int_{XS,...} q(X,XS,...)" you mention
below is pretty much what I am after, but I did not see where or how
you implemented this in "Torus3D"?
Any thoughts here would be very much appreciated
Regards,
Matt Koch
----- Message from castany at quatramaran.ens.fr ---------
Date: Thu, 3 May 2007 23:57:08 +0200
From: Olivier Castany <castany at quatramaran.ens.fr>
Reply-To: Olivier Castany <castany at quatramaran.ens.fr>
Subject: Re: [Getdp] [GetDP] Calculation of an Integral quantity
To: getdp at geuz.org
>> since the discussion seems to be about XS[] or $XS, perhaps I can ask a
>> dumb question. I was trying to figure out what the difference is between
>> XS[] or $XS on one hand, and X[] or $X on the other hand, but I failed.
>> I was hoping XS could be defined on one surface, and X on an other, but
>> probably not. Can you tell me, in a nutshell, the meaning of XS vs. X?
>> And for that matter, of Normal[] vs. NormalSource[]?
>
> Hi,
>
> I created wiki pages. See :
> http://www.geuz.org/getdp/wiki/TorusCurrent3D
>
> - XS[] and $XS are probably the same but XS[] should be used in future
> versions. However, only $XS works with the current official version.
>
> - an integral quantity is calculated the following way :
> Q(X,...) = \int_{XS,...} q(X,XS,...)
>
> Regards,
>
> O.C.
>
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----- End message from castany at quatramaran.ens.fr -----