You can infer this from the 2d numbering. For example, for the HEX8, the
base is oriented wrt (xi,eta) according to the QUAD4, and zeta is the
vertical direction.
On 2/16/10 3:04 PM, "Roy Stogner" <roystgnr@...> wrote:
>
>
> On Tue, 16 Feb 2010, Rahul Sampath wrote:
>
>> HEX8: 7 6
>> oo
>> /: /
>> / : / 
>> 4 / : 5 / 
>> oo 
>>  o.......o 2
>>  .3  /
>>  .  /
>> . /
>> oo
>> 0 1
>>
>> TET4:
>> 3
>> o
>> /\
>> /  \
>> /  \
>> 0 o......o 2
>> \  /
>> \  /
>> \/
>> o
>> 1
>>
>> However, you have not shown the coordinate axes. I need to know the
>> following:
>> 1) The relationship between the local coordinate system and the local
>> node numbering scheme. For example, In Hex8 whether the edge 01 is
>> parallel to the local xi or eta axes.
>>
>> 2) The relationship between the physical global coordinate system and
>> the local coordinate system.
>>
>> I believe you must already be using some convention for both to be
>> able to compute the Jacobian of the transformation. It would be very
>> helpful if you could tell me where I can find this information.
>
> To the best of my recollection:
>
> For triangles and tets, the nodes are at (0,0,0), (1,0,0), (0,1,0),
> (0,0,1) in master coordinates
>
> For tensor product elements, the geometry is [1,1]^d and the edges
> are 01:xi, 03:eta, 04:zeta
>
> For pyramids, the peak is at (0,0,1) and the base is the same as a
> quad.
>
> Prisms are the tensor product of a triangle and an edge, with the
> triangle at zeta=1 given the lower local node numbers.
>
> I'm afraid that the only place where you can find this information
> solidly may be implicitly in the fe_lagrange*.C code, though; I'm not
> sure we've got it cleanly documented. If you'd like to add such
> documentation, a patch (in ASCII so we can put it in the headers)
> would be appreciated.
> 
> Roy
>
> 
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