Listed below are some key features of the numerical model that
we employed in our study of accretion disks. We tested this
model by simulating an accretion disk around a central gravitational
source (i.e., no binary potential). The total angular momentum on
the grid remained constant to within machine round-off, and the
measured effective alpha was less than 0.001.
- Time-dependent ideal hydrodynamics:
VH-1
- 2D cylindrical coordinates
- Isothermal equation of state
- simulation in rotating reference frame of binary system
- input parameters: sound speed, mass ratio, initial density profile
- periodic boundary conditions in phi, outflow in radius
- typicall grid of 200 radial zones by 115 azimuthal zones
- higher resolution used for high Mach numbers
- radial span of grid is typically 20 (e.g., .02 to .4)
- numerical code conserves angular momentum
- radial mass flux is monitered in order to compute and effective alpha
- grid is wiggled slightly in radial direction to suppress instabilities