An adaptive mesh semi-implicit conservative unsplit method for resistive MHD

R. Samtaney; P. Colella; T. J. Ligocki; D. F. Martin; S. C. Jardin

doi:10.1088/1742-6596/16/1/005

An adaptive mesh semi-implicit conservative unsplit method for resistive MHD

R. Samtaney
, P. Colella
, T. J. Ligocki
, D. F. Martin
, S. C. Jardin

PPPL Theory

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We present a cell-centered semi-implicit algorithm for solving the equations of single fluid resistive MHD for block structured adaptive meshes. The unsplit method [1] is extended for the ideal MHD part, and the diffusive terms are solved implicitly. The resulting second-order accurate scheme is conservative while preserving the ∇ · B = 0 constraint. Numerical results from a variety of verification tests are presented.

Original language	English (US)
Pages (from-to)	40-48
Number of pages	9
Journal	Journal of Physics: Conference Series
Volume	16
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/16/1/005
State	Published - Jan 1 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1088/1742-6596/16/1/005

Cite this

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abstract = "We present a cell-centered semi-implicit algorithm for solving the equations of single fluid resistive MHD for block structured adaptive meshes. The unsplit method [1] is extended for the ideal MHD part, and the diffusive terms are solved implicitly. The resulting second-order accurate scheme is conservative while preserving the ∇ · B = 0 constraint. Numerical results from a variety of verification tests are presented.",

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AU - Colella, P.

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AU - Martin, D. F.

AU - Jardin, S. C.

PY - 2005/1/1

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N2 - We present a cell-centered semi-implicit algorithm for solving the equations of single fluid resistive MHD for block structured adaptive meshes. The unsplit method [1] is extended for the ideal MHD part, and the diffusive terms are solved implicitly. The resulting second-order accurate scheme is conservative while preserving the ∇ · B = 0 constraint. Numerical results from a variety of verification tests are presented.

AB - We present a cell-centered semi-implicit algorithm for solving the equations of single fluid resistive MHD for block structured adaptive meshes. The unsplit method [1] is extended for the ideal MHD part, and the diffusive terms are solved implicitly. The resulting second-order accurate scheme is conservative while preserving the ∇ · B = 0 constraint. Numerical results from a variety of verification tests are presented.

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An adaptive mesh semi-implicit conservative unsplit method for resistive MHD

Abstract

All Science Journal Classification (ASJC) codes

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