[firedrake] building a function space for slice vector fields

[Colin Cotter]

Yes. Then, if your embedding dimension is three, and the topological
dimension is two, Hdiv could return vectors normal to the mesh...
On 15 Jun 2015 18:12, "David Ham" <David.Ham at imperial.ac.uk> wrote:

> Actually, now I think about it a bit more, it's clear we need to extend
> the HDiv operator to take an embedding dimension argument.
> On Mon, 15 Jun 2015 at 12:08 Cotter, Colin J <colin.cotter at imperial.ac.uk>
> wrote:
>
>>  I'm not quite sure what I need to try, exactly?
>>
>> --cjc
>>  ------------------------------
>> *From:* firedrake-bounces at imperial.ac.uk [
>> firedrake-bounces at imperial.ac.uk] on behalf of David Ham [
>> David.Ham at imperial.ac.uk]
>> *Sent:* 15 June 2015 18:04
>> *To:* firedrake
>> *Subject:* Re: [firedrake] building a function space for slice vector
>> fields
>>
>>  Have you tried it? I think it might Just Work. The first thing which
>> might break is the HDiv operator, but you never know....
>> On Mon, 15 Jun 2015 at 11:58 Cotter, Colin J <colin.cotter at imperial.ac.uk>
>> wrote:
>>
>>>    Dear all,
>>>    A lot of what we do in the vertical slice model would be a lot easier
>>> if we could combine together our u-w components of our velocity field
>>> (stored as an RT field in the slice) with our v component (stored as a DG
>>> field in the slice) so that the basis functions are 3D vectors on a 2D x-z
>>> plane. In particular, then I could assemble the inverse of the combined
>>> u-w-v velocity mass matrix combined with Coriolis, and make things a lot
>>> more implicit in the Coriolis term, leading to bigger timesteps when we
>>> sent the Coriolis parameter to infinity (something we have to do in our
>>> test case unfortunately).
>>>
>>>  Is this supported by current code, if not, how much work would it take
>>> for us to have this?
>>>
>>>  all the best
>>>  --cjc
>>>
>>
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