Hi Roland,

Yes, there is a fluid and I am using GRHydro. But I have checked individual 
terms, and the matter terms are identical between my checks in 
HydroBase_Initial and my analysis of the HDF5 output. 

I have pinpointed the difference to be coming from the terms with spatial 
derivatives of metric quantities, e.g., D_i trK and 3-Ricci tensor. The codes I 
use for these two calculations use the same routines, so all I can think of now 
is a possible precision issue somewhere. 

I’ll keep investigating, but if you have any other ideas please let me know!

Best,
Hayley

> On 24 Aug 2023, at 15:39, Roland Haas <[email protected]> wrote:
> 
> Hello all,
> 
> just to be sure: is there a fluid present (and GRHydro)? Then there is
> also the issue of con2prim to consider (and Tmunu).
> 
> Yours,
> Roland
> 
>> Hayley
>> 
>> No, there should not be any loss of precision. The difference in the
>> ADMBase variables should be at round-off level.
>> 
>> -erik
>> 
>> On Wed, Aug 23, 2023 at 12:37 PM Hayley Macpherson
>> <[email protected]> wrote:
>>> 
>>> Hi Erik,
>>> Thanks for the quick response!
>>> 
>>> I’m not using mesh refinement, and yes I ignore the ghost zones in my 
>>> calculations. I use periodicity within the original (no ghosts) grid for 
>>> derivatives.
>>> 
>>> And yes I’m using the ADMBase metric and extrinsic curvature. I get the 
>>> same result whether I do the calculation in the postpostinitial stage or 
>>> using the 3D dumps in post-processing. Would there be a loss of precision 
>>> in ADMBase gij and kij when translating back and forth to BSSN metric/kij, 
>>> which could then be propagated to the output files?
>>> 
>>> Best,
>>> Hayley
>>> 
>>> On 23 Aug 2023, at 11:31, Erik Schnetter <[email protected]> wrote:
>>> 
>>> Hayley
>>> 
>>> Are you using mesh refinement in your calculations? If so, the ET
>>> would fill the ghost and the buffer zones with interpolated data.
>>> These are generally less accurate than properly calculated data. If
>>> so, are you ignoring ghost and buffer zones? These should not be used
>>> for visualization and post-processing.
>>> 
>>> Which metric variables are you accessing? I assume you are looking at
>>> ADMBase for the metric and extrinsic curvature? These should change,
>>> unless you look at them too early: During initialization, we set up
>>> the ADMBase variables, then define the BSSN variables from these, and
>>> then recalculate the ADMBase variables. This would change them
>>> slightly. Analysis tools should only look at the ADMBase variables
>>> after they have been reset.
>>> 
>>> -erik
>>> 
>>> 
>>> On Wed, Aug 23, 2023 at 11:56 AM Hayley Macpherson
>>> <[email protected]> wrote:
>>> 
>>> 
>>> Hi all,
>>> 
>>> I’m the author of a cosmological initial data thorn in the ET; FLRWSolver. 
>>> I’m currently working on improving the initial data to solve the constraint 
>>> equations exactly (instead of previously using an approximation), for a 
>>> given metric and Kij. The way this works is to calculate the metric terms 
>>> on the LHS of both the constraints and solve for the relevant rest mass 
>>> density and peculiar 3-velocities from the matter terms.
>>> 
>>> I have my own routines from a post-processing analysis code to calculate 
>>> the metric terms, and I’ve incorporated these into the ET for both 
>>> generating the initial data but also then double checking the constraint 
>>> violation after the initial data is set up.
>>> 
>>> I noticed something strange: my checks immediately after FLRWSolver is 
>>> called in the ET show the constraints are satisfied essentially to roundoff 
>>> error (i.e. the momentum constraint violation has magnitude ~ 1.e-15), but 
>>> when I take the 3D dump of the initial time slice and run this through my 
>>> analysis code (which uses the same routines as I use to set up initial 
>>> data), I see the momentum constraint is violated at the ~ 1e-7 level.
>>> 
>>> I thought this might be my post processing code, so I added a second call 
>>> to check the constraints using my routines after the full initial process 
>>> is finished. The first call which immediately follows my FLRWSolver routine 
>>> is placed in group HydroBase_Initial, and I added another call in 
>>> CCTK_POSTINITIAL which gives the same result, however, if I instead 
>>> schedule this call in POSTPOSTINITIAL I see the momentum constraint 
>>> violation is identical to what I see when post processing the initial dump, 
>>> at ~ 1.e-7. I can see the specific terms which are causing this difference 
>>> are the terms which use finite-difference derivatives (the curvature terms 
>>> in the momentum constraint), while all others are identical.
>>> 
>>> So my question is the following: is there any way that the metric and 
>>> curvature variables could suffer a loss of precision between the 
>>> POSTINITIAL and POSTPOSTINITIAL phases of the run? Especially, a loss in 
>>> precision which is then translated to the 3D dumps.
>>> 
>>> The momentum constraint violation I have is satisfactory, but I am trying 
>>> to pinpoint why this jump happens to make sure it’s not a bug in my 
>>> separate code somewhere (also to explain why the constraints aren’t 
>>> satisfied to roundoff level when they should be, by construction of my 
>>> initial data :) ).
>>> 
>>> Any help is much appreciated!
>>> Best wishes,
>>> Hayley
>>> 
>>> ----
>>> 
>>> Hayley Macpherson | NASA Einstein Fellow
>>> 
>>> Email: [email protected]
>>> Pronouns: she/her/hers
>>> 
>>> Office: ERC 479
>>> Kavli Institute for Cosmological Physics
>>> Eckhardt Research Center
>>> 5640 South Ellis Avenue
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>>> --
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>> 
>> 
> 
> 
> 
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