# [aspect-devel] Non-dimensional temperature question

Katrina Arredondo karredondo at ucdavis.edu
Mon Mar 24 17:39:18 PDT 2014

```In CitcomS, T_nondim = (T - T_min)/(deltaT), where deltaT is the
temperature difference driving convection (so not necessarily T_max - T_min
for subduction models), and T is the temperature at a point in Kelvin. So
the perhaps that last equation is correct?

On Mon, Mar 24, 2014 at 4:50 PM, Eric Heien <emheien at ucdavis.edu> wrote:

> I have a question about how non-dimensional temperature is computed in
> postprocess/temperature_statistics.cc.  It seems the current
> non-dimensional temperature is calculated as:
>
> T_nondim = (T_mean)/(T_max - T_min)
>
> However, suppose T_max = 4273, T_min = 973 and T_mean = 3800 (we have a
> hot mantle).  Then the non-dimensional temperature would be
>
> T_nondim = 3800/(4273-973) = 1.15
>
> which seems to be outside the normal non-dimensional bounds of [0,1].
>  Wouldn't the correct equation be
>
> T_nondim = (T_mean - T_min)/(T_max - T_min)
>
> in which case T_nondim would be 0.86.  Or am I misunderstanding something?
>
> Thanks,
>
> -Eric
>
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--

Katrina Arredondo
Ph.D. Candidate
Geodynamics/Subduction Zones
University of California, Davis
Department of Geology
One Shield Avenue, Davis CA 95616
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