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 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.
CITATION STYLE
Rosswog, S., & Price, D. (2008). 3D meshfree magnetohydrodynamics. In Lecture Notes in Computational Science and Engineering (Vol. 65, pp. 247–275). https://doi.org/10.1007/978-3-540-79994-8_15
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