Inductive ionospheric solver for magnetospheric MHD simulations
We present a new scheme for solving the ionospheric boundary conditions required in magnetospheric MHD simulations. In contrast to the electrostatic ionospheric solvers currently in use, the new solver takes ionospheric induction into account by solving Faraday's law simultaneously with Ohm&...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2011-01-01
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| Series: | Annales Geophysicae |
| Online Access: | https://www.ann-geophys.net/29/97/2011/angeo-29-97-2011.pdf |
| _version_ | 1818114522786824192 |
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| author | H. Vanhamäki H. Vanhamäki |
| author_facet | H. Vanhamäki H. Vanhamäki |
| author_sort | H. Vanhamäki |
| collection | DOAJ |
| description | We present a new scheme for solving the ionospheric boundary conditions
required in magnetospheric MHD simulations. In contrast to the electrostatic
ionospheric solvers currently in use, the new solver takes ionospheric
induction into account by solving Faraday's law simultaneously with Ohm's law
and current continuity. From the viewpoint of an MHD simulation, the new
inductive solver is similar to the electrostatic solvers, as the same input
data is used (field-aligned current [FAC] and ionospheric conductances) and
similar output is produced (ionospheric electric field). The inductive solver
is tested using realistic, databased models of an omega-band and westward
traveling surge. Although the tests were performed with local models and MHD
simulations require a global ionospheric solution, we may nevertheless
conclude that the new solution scheme is feasible also in practice. In the
test cases the difference between static and electrodynamic solutions is up
to ~10 V km<sup>−1</sup> in certain locations, or up to 20-40% of the total electric
field. This is in agreement with previous estimates. It should also be noted
that if FAC is replaced by the ground magnetic field (or ionospheric
equivalent current) in the input data set, exactly the same formalism can be
used to construct an inductive version of the KRM method originally developed
by Kamide et al. (1981). |
| first_indexed | 2024-12-11T03:52:04Z |
| format | Article |
| id | doaj.art-75daba49f9a24fa597dd35bd8e8aa977 |
| institution | Directory Open Access Journal |
| issn | 0992-7689 1432-0576 |
| language | English |
| last_indexed | 2024-12-11T03:52:04Z |
| publishDate | 2011-01-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Annales Geophysicae |
| spelling | doaj.art-75daba49f9a24fa597dd35bd8e8aa9772022-12-22T01:21:53ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762011-01-01299710810.5194/angeo-29-97-2011Inductive ionospheric solver for magnetospheric MHD simulationsH. Vanhamäki0H. Vanhamäki1Arctic Research Unit, Finnish Meteorological Institute, Helsinki, Finlandvisiting at: Solar-Terrestrial Environment Laboratory, Nagoya University, Nagoya, JapanWe present a new scheme for solving the ionospheric boundary conditions required in magnetospheric MHD simulations. In contrast to the electrostatic ionospheric solvers currently in use, the new solver takes ionospheric induction into account by solving Faraday's law simultaneously with Ohm's law and current continuity. From the viewpoint of an MHD simulation, the new inductive solver is similar to the electrostatic solvers, as the same input data is used (field-aligned current [FAC] and ionospheric conductances) and similar output is produced (ionospheric electric field). The inductive solver is tested using realistic, databased models of an omega-band and westward traveling surge. Although the tests were performed with local models and MHD simulations require a global ionospheric solution, we may nevertheless conclude that the new solution scheme is feasible also in practice. In the test cases the difference between static and electrodynamic solutions is up to ~10 V km<sup>−1</sup> in certain locations, or up to 20-40% of the total electric field. This is in agreement with previous estimates. It should also be noted that if FAC is replaced by the ground magnetic field (or ionospheric equivalent current) in the input data set, exactly the same formalism can be used to construct an inductive version of the KRM method originally developed by Kamide et al. (1981).https://www.ann-geophys.net/29/97/2011/angeo-29-97-2011.pdf |
| spellingShingle | H. Vanhamäki H. Vanhamäki Inductive ionospheric solver for magnetospheric MHD simulations Annales Geophysicae |
| title | Inductive ionospheric solver for magnetospheric MHD simulations |
| title_full | Inductive ionospheric solver for magnetospheric MHD simulations |
| title_fullStr | Inductive ionospheric solver for magnetospheric MHD simulations |
| title_full_unstemmed | Inductive ionospheric solver for magnetospheric MHD simulations |
| title_short | Inductive ionospheric solver for magnetospheric MHD simulations |
| title_sort | inductive ionospheric solver for magnetospheric mhd simulations |
| url | https://www.ann-geophys.net/29/97/2011/angeo-29-97-2011.pdf |
| work_keys_str_mv | AT hvanhamaki inductiveionosphericsolverformagnetosphericmhdsimulations AT hvanhamaki inductiveionosphericsolverformagnetosphericmhdsimulations |