MHD implementation details and discussions

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Scientific Goals

Random bits and pieces

  • Reuse parts of Harm3D

Conventions / Variable names etc.

  • Principally follow the Valencia formulation as out-lined in Anton et al. (2006)
  • HydroBase's Bvec[1-3] GF will be identified with Valencia's B^i vector
  • Bvec[] will be used both as an evolved quantity and a primitive variable
  • During the Carpet workshop, we concluded it is easier to define B^i to be the undensitized magnetic field; this requires some care, since psi^6 B^i is the quantity that appears in the evolution equation, but simplifies the rest of the code
  • Only use locally calculated "comoving magnetic tensor" b^a when needed
  • In general, but especially for MHD, it seems worthwhile to promote sqrt(gamma)=psi^6 to an independent gridfunction

Subprojects

Task Main people Notes
Riemann Problem Scott Noble
Con2Prim Christian Ottfrom Harm3D
Constraint transport Scott Noble from Harm3D
Reconstruction Frank Löffler
Failure Recovery Procedure Scott Noble
Carpet Refluxing
EMF Restriction/Prolongation

During the Cactus workshop, some progress was made on implementing MHD within GRHydro by reimplementing various subroutines with alternate versions for MHD and calling them out with the MHD flag in the scheduler. Basically, instead of GRHydro_filename.F90, we will have GRHydro_filenameM.F90.