[Users] SPH in einstein toolkit

[Philip Chang]

Hi Erik,

When you say most people, what do you mean?  Is there an implementation 
of SPH in a true dynamical spacetime? I know there are a few under the 
assumption of conformal flatness, but I am not aware of anyone with SPH 
in dynamical spacetime.

Related to this, is there a reference I can look at which write out the 
hydro equations in detail.  It is not immediately obvious to me that 
Rosswog's paper writes it as a hydrodynamic equation on the coordinate 
manifold with lapse and shift.

Cheers,
Phil

On 9/26/17 6:38 PM, Erik Schnetter wrote:
> Phil
>
> Most people let SPH particles move on the background ("coordinate") 
> manifold, with equations of motion similar to those for the 
> hydrodynamics field equations, i.e. taking lapse and shift into 
> account. This is a straightforward approach, as e.g. the shape of a 
> particle remains fixed in coordinate shape. The simplicity of this 
> approach is very attractive.
>
> -erik
>
>
> On Tue, Sep 26, 2017 at 3:29 AM, Philip Chang <chang65 at uwm.edu 
> <mailto:chang65 at uwm.edu>> wrote:
>
>     Dear developers,
>
>     I saw that there was a discussion back in 2015 in regard to SPH in the
>     Einstein toolkit.  Have any progress been made in this regard?  I am
>     especially interested in how the sph particles move (and what it means
>     to move) in a 3+1 split.
>
>     Cheers,
>
>     Phil Chang
>
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> -- 
> Erik Schnetter <schnetter at cct.lsu.edu <mailto:schnetter at cct.lsu.edu>>
> http://www.perimeterinstitute.ca/personal/eschnetter/
>

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