TY - JOUR
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
M3 - Article
AN - SCOPUS:0029633078
SN - 0010-4655
VL - 89
SP - 127
EP - 148
JO - Computer Physics Communications
JF - Computer Physics Communications
IS - 1-3
ER -