3D meshfree magnetohydrodynamics

Stephan Rosswog, Daniel Price

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationMeshfree Methods for Partial Differential Equations IV
Pages247-275
Number of pages29
Volume65
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event4th International Workshop on Meshfree Methods for Partial Differential Equations - Bonn, Germany
Duration: 17 Sep 200720 Sep 2007

Publication series

NameLecture Notes in Computational Science and Engineering
Volume65
ISSN (Print)14397358

Conference

Conference4th International Workshop on Meshfree Methods for Partial Differential Equations
CountryGermany
CityBonn
Period17/09/0720/09/07

Keywords

  • Astrophysics
  • Euler potentials
  • Magnetic fields
  • Magnetohydrodynamics
  • Smoothed particle hydrodynamics

Cite this

Rosswog, S., & Price, D. (2008). 3D meshfree magnetohydrodynamics. In Meshfree Methods for Partial Differential Equations IV (Vol. 65, pp. 247-275). (Lecture Notes in Computational Science and Engineering; Vol. 65). https://doi.org/10.1007/978-3-540-79994-8_15