MOCCT: A numerical technique for astrophysical MHD

John F. Hawley; James M. Stone

doi:10.1016/0010-4655(95)00190-Q

MOCCT: A numerical technique for astrophysical MHD

John F. Hawley, James M. Stone

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

146 Scopus citations

Abstract

Magnetic fields are important components of many astrophysical systems. These systems are studied with numerical simulations of the equations of magnetohydrodynamics (MHD). We briefly review the MHD assumptions, some of the numerical approaches currently in use, and some of the problems to which MHD codes are being applied. We describe in detail the Method of Characteristics-Constrained Transport scheme. This is a time-explicit, operator split, nonconservative technique that uses information propagated along Alfvén characteristics to compute electromagnetic forces at intermediate time levels for the induction equation and for the Lorentz force. The advantages and difficulties with this scheme are investigated with a series of test problems.

Original language	English (US)
Pages (from-to)	127-148
Number of pages	22
Journal	Computer Physics Communications
Volume	89
Issue number	1-3
DOIs	https://doi.org/10.1016/0010-4655(95)00190-Q
State	Published - Aug 2 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Hardware and Architecture
General Physics and Astronomy

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10.1016/0010-4655(95)00190-Q

Cite this

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title = "MOCCT: A numerical technique for astrophysical MHD",

abstract = "Magnetic fields are important components of many astrophysical systems. These systems are studied with numerical simulations of the equations of magnetohydrodynamics (MHD). We briefly review the MHD assumptions, some of the numerical approaches currently in use, and some of the problems to which MHD codes are being applied. We describe in detail the Method of Characteristics-Constrained Transport scheme. This is a time-explicit, operator split, nonconservative technique that uses information propagated along Alfv{\'e}n characteristics to compute electromagnetic forces at intermediate time levels for the induction equation and for the Lorentz force. The advantages and difficulties with this scheme are investigated with a series of test problems.",

author = "Hawley, {John F.} and Stone, {James M.}",

note = "Funding Information: We would like to acknowledgeD avid Clarke, Charles Evans, and Mike Norman for contributionsto this algorithmd evelopmenetf fort,and Charles Gammief or a careful readingo f the manuscriptT. his work is partially supportedb y NSF grant PHY-9018251 and NASA grants NAGW-1510 and NAGW-2376. Computationws ere carriedo ut on the Cray YMP, Cray 2, and CM2 systemso f the National Centerf or SupercomputinAgp plications.",

year = "1995",

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doi = "10.1016/0010-4655(95)00190-Q",

language = "English (US)",

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pages = "127--148",

journal = "Computer Physics Communications",

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publisher = "Elsevier B.V.",

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T1 - MOCCT

T2 - A numerical technique for astrophysical MHD

AU - Hawley, John F.

AU - Stone, James M.

N1 - Funding Information: We would like to acknowledgeD avid Clarke, Charles Evans, and Mike Norman for contributionsto this algorithmd evelopmenetf fort,and Charles Gammief or a careful readingo f the manuscriptT. his work is partially supportedb y NSF grant PHY-9018251 and NASA grants NAGW-1510 and NAGW-2376. Computationws ere carriedo ut on the Cray YMP, Cray 2, and CM2 systemso f the National Centerf or SupercomputinAgp plications.

PY - 1995/8/2

Y1 - 1995/8/2

N2 - Magnetic fields are important components of many astrophysical systems. These systems are studied with numerical simulations of the equations of magnetohydrodynamics (MHD). We briefly review the MHD assumptions, some of the numerical approaches currently in use, and some of the problems to which MHD codes are being applied. We describe in detail the Method of Characteristics-Constrained Transport scheme. This is a time-explicit, operator split, nonconservative technique that uses information propagated along Alfvén characteristics to compute electromagnetic forces at intermediate time levels for the induction equation and for the Lorentz force. The advantages and difficulties with this scheme are investigated with a series of test problems.

AB - Magnetic fields are important components of many astrophysical systems. These systems are studied with numerical simulations of the equations of magnetohydrodynamics (MHD). We briefly review the MHD assumptions, some of the numerical approaches currently in use, and some of the problems to which MHD codes are being applied. We describe in detail the Method of Characteristics-Constrained Transport scheme. This is a time-explicit, operator split, nonconservative technique that uses information propagated along Alfvén characteristics to compute electromagnetic forces at intermediate time levels for the induction equation and for the Lorentz force. The advantages and difficulties with this scheme are investigated with a series of test problems.

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U2 - 10.1016/0010-4655(95)00190-Q

DO - 10.1016/0010-4655(95)00190-Q

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SP - 127

EP - 148

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 1-3

ER -

MOCCT: A numerical technique for astrophysical MHD

Abstract

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