3D meshfree magnetohydrodynamics

Details 3D meshfree magnetohydrodynamics 3D meshfree magnetohydrodynamics

2008-02-04

arxiv.org/abs/0802.0418v1

Astronomy and Astrophysics

Astrophysics

28 pages, 8 Figures; submitted to Springer Lecture Notes in Computational Science and Engineering

Scientific paper

We describe a new method to include magnetic fields into smooth particle hydrodynamics. The derivation of the self-gravitating hydrodynamics equations from a variational principle is discussed in some detail. The non-dissipative magnetic field evolution is instantiated by advecting so-called Euler potentials. This approach enforces the crucial $\nabla\cdot\vec{B}=0$-constraint by construction. These recent developments are implemented in our three-dimensional, self-gravitating magnetohydrodynamics code MAGMA. A suite of tests is presented that demonstrates the superiority of this new approach in comparison to previous implementations.

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