Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008aspc..385..158l&link_type=abstract
Numerical Modeling of Space Plasma Flows: Astronum 2007 ASP Conference Series, Vol. 385, proceedings of the conference held 10-1
Astronomy and Astrophysics
Astronomy
Scientific paper
The key property of constrained transport (CT) methods on fixed grids is that by design the equation ∇ \cdot B =0 is satisfied to within machine precision. However, when adaptive grids are introduced a naive treatment of magnetic flux conservation across the coarse-fine grid interface will lead to ∇ \cdot B ≠0 in coarse cells adjacent to refined regions. In this report we review the CT method for solving Faraday's law and present a new method for conserving magnetic flux across the coarse-fine grid interface. We show how magnetic flux can be conserved across the grid interface without a refluxing step. We then show a validation of our method, obtained with a new Adaptive Mesh Refinement (AMR) magnetohydrodynamic (MHD) code implemented with the CHOMBO AMR C++ classes.
Loring B.
Raeder Joachim
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