Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena
Scientific paper
2010-10-18
Astronomy and Astrophysics
Astrophysics
High Energy Astrophysical Phenomena
accepted for MNRAS publication
Scientific paper
The force-free (or low inertia) limit of magnetohydrodynamics (MHD) can be applied to many astrophysical objects, including black holes, neutron stars, and accretion disks, where the electromagnetic field is so strong that the inertia and pressure of the plasma can be ignored. This is difficult to achieve with the standard MHD numerical methods because they still have to deal with plasma inertial terms even when these terms are much smaller than the electromagnetic terms. Under the force free approximation, the plasma dynamics is entirely determined by the magnetic field. The plasma provides the currents and charge densities required by the dynamics of electromagnetic fields, but these currents carry no inertia. We present a high order Godunov scheme to study such force-free electrodynamics. We have implemented weighted essentially non-oscillatory (WENO) spatial interpolations in our scheme. An exact Riemann solver is implemented, which requires spectral decomposition into characteristic waves. We advance the magnetic field with the constrained transport (CT) scheme to preserve the divergence free condition to machine round-off error. We apply the third order total variation diminishing (TVD) Runge-Kutta scheme for the temporal integration. The mapping from face-centered variables to volume-centered variables is carefully considered. Extensive testing are performed to demonstrate the ability of our scheme to address force-free electrodynamics correctly. We finally apply the scheme to study relativistic magnetically dominated tearing instabilities and neutron star magnetospheres.
No associations
LandOfFree
A High-Order WENO-based Staggered Godunov-type Scheme with Constrained Transport for Force-free Electrodynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A High-Order WENO-based Staggered Godunov-type Scheme with Constrained Transport for Force-free Electrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A High-Order WENO-based Staggered Godunov-type Scheme with Constrained Transport for Force-free Electrodynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-306013