Astronomy and Astrophysics – Astrophysics – Instrumentation and Methods for Astrophysics
Scientific paper
2011-02-23
Astronomy and Astrophysics
Astrophysics
Instrumentation and Methods for Astrophysics
MNRAS Letters accepted. 5 figures and 1 table
Scientific paper
In astrophysical magnetohydrodynamics (MHD) and electrodynamics simulations, numerically enforcing the divB=0 constraint on the magnetic field has been difficult. We observe that for point-based discretization, as used in finite-difference type and pseudo-spectral methods, the divB=0 constraint can be satisfied entirely by a choice of interpolation used to define the derivatives of B. As an example we demonstrate a new class of finite-difference type derivative operators on a regular grid which has the divB=0 property. This principle clarifies the nature of divB != 0 errors. The principles and techniques demonstrated in this paper are particularly useful for the magnetic field, but can be applied to any vector field. This paper serves as a brief introduction to the method and demonstrates an implementation showing convergence.
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