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: hjmacpherson@uchicago.edu Pronouns: she/her/hers
Office: ERC 479 Kavli Institute for Cosmological Physics Eckhardt Research Center 5640 South Ellis Avenue Chicago, IL, 60637