1 research outputs found
Numerical generation of vector potentials from specified magnetic fields
Many codes have been developed to study highly relativistic, magnetized flows
around and inside compact objects. Depending on the adopted formalism, some of
these codes evolve the vector potential , and others evolve the
magnetic field directly. Given that these
codes possess unique strengths, sometimes it is desirable to start a simulation
using a code that evolves and complete it using a code that
evolves . Thus transferring the data from one code to another would
require an inverse curl algorithm. This paper describes two new inverse curl
techniques in the context of Cartesian numerical grids: a cell-by-cell method,
which scales approximately linearly with the numerical grid, and a global
linear algebra approach, which has worse scaling properties but is generally
more robust (e.g., in the context of a magnetic field possessing some nonzero
divergence). We demonstrate these algorithms successfully generate smooth
vector potential configurations in challenging special and general relativistic
contexts.Comment: 20 pages, 9 figure