Constrained-Transport Magnetohydrodynamics with Adaptive-Mesh-Refinement in CHARM

Miniatii, Francesco; Martin, Daniel

doi:10.1088/0067-0049/195/1/5

Constrained-Transport Magnetohydrodynamics with Adaptive-Mesh-Refinement in CHARM

Journal Article · Tue May 24 00:00:00 EDT 2011 · The Astrophysical Journal Supplement

DOI:https://doi.org/10.1088/0067-0049/195/1/5· OSTI ID:1050649

Miniatii, Francesco; Martin, Daniel

We present the implementation of a three-dimensional, second order accurate Godunov-type algorithm for magneto-hydrodynamic (MHD), in the adaptivemesh-refinement (AMR) cosmological code CHARM. The algorithm is based on the full 12-solve spatially unsplit Corner-Transport-Upwind (CTU) scheme. Thefluid quantities are cell-centered and are updated using the Piecewise-Parabolic- Method (PPM), while the magnetic field variables are face-centered and areevolved through application of the Stokes theorem on cell edges via a Constrained- Transport (CT) method. The so-called ?multidimensional MHD source terms?required in the predictor step for high-order accuracy are applied in a simplified form which reduces their complexity in three dimensions without loss of accuracyor robustness. The algorithm is implemented on an AMR framework which requires specific synchronization steps across refinement levels. These includeface-centered restriction and prolongation operations and a reflux-curl operation, which maintains a solenoidal magnetic field across refinement boundaries. Thecode is tested against a large suite of test problems, including convergence tests in smooth flows, shock-tube tests, classical two- and three-dimensional MHD tests,a three-dimensional shock-cloud interaction problem and the formation of a cluster of galaxies in a fully cosmological context. The magnetic field divergence isshown to remain negligible throughout. Subject headings: cosmology: theory - methods: numerical

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Research Organization:: Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)

Sponsoring Organization:: Computational Research Division

DOE Contract Number:: AC02-05CH11231

OSTI ID:: 1050649

Report Number(s):: LBNL-4811E

Journal Information:: The Astrophysical Journal Supplement, Journal Name: The Astrophysical Journal Supplement

Country of Publication:: United States

Language:: English

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