Ruprecht-Karls-Universität Heidelberg

General Relativistic
- Implicit -
Radiative MagnetoHydrodynamics
Simulation Code


Theory Group
ZAH, Landessternwarte, Heidelberg

Ahmad A. Hujeirat
Sofie Fehlmann
Max Camenzind
Bernhard W. Keil
Paul P. Hilscher

sponsored by

KTS Logo
The Klaus Tschira Foundation gGmbH

Interest in GR-I-RMHD?

I am interested in the simulation code GR-I-RMHD and would like to be informed when it is released:

 Managed by Ahmad A. Hujeirat
Last Update: 20.03.2012 - 14:13

The ultimate implicit solver for modelling:

  • 3D axi-symmetric,
  • strongly time-dependent,
  • quasi-stationary and steady state,
  • compressible,
  • weakly compressible,
  • radiating,
  • magnetized,
  • self-gravitating,
  • dissipative and diffusive,
  • relativistic and
  • general-relativistic flows

A non-linear Newton-iterative numerical tool for solving:

  • Euler,
  • Newtonian Navier-Stokes,
  • General Relativistic Navier-Stokes equations,
  • the 5D axi-symmetric radiative transfer equation,
  • the Poisson equation

Discretization method:

  • 3D axi-symmetrical spherical grid
  • Conservative formulation (Finite Volume)
  • First and second order temporal accuracy
  • up to 3rd order spatial accuracy

Properties of the solution method:

  • Various degrees of implicitness:
    implicit, semi-implicit, semi-explicit and explicit methods
  • Hierarchical Solution Scenario:
    enables gradual coupling of the equations

Implicit iterative solution procedure:

  • Black-White Line Gauss-Seidel
  • Approximate Factorization Method
  • Krylov Subspace Iterative Methods:
    GMRES, Bi-CGSTAB, TF-QMR, ...

Basic properties of the simulation code:

  • Fortran 90/95
  • parallelized using MPI
  • PETSc library for Krylov methods
  • netCDF data I/O
    (serial and parallel-netCDF)
  • visualization scripts using python/matplotlib

Although the program itself is quite complex, it will be clearly structured and easy to use, but still very powerful and flexible.