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| Titel |
A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0) |
| VerfasserIn |
V. Bayona, N. Flyer, G. M. Lucas, A. J. G. Baumgaertner |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1991-959X
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| Digitales Dokument |
URL |
| Erschienen |
In: Geoscientific Model Development ; 8, no. 10 ; Nr. 8, no. 10 (2015-10-01), S.3007-3020 |
| Datensatznummer |
250116591
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| Publikation (Nr.) |
 copernicus.org/gmd-8-3007-2015.pdf |
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| Zusammenfassung |
| A numerical model based on radial basis function-generated finite differences
(RBF-FD) is developed for simulating the global electric circuit (GEC) within
the Earth's atmosphere, represented by a 3-D variable coefficient linear
elliptic partial differential equation (PDE) in a spherically shaped volume with the lower boundary being the
Earth's topography and the upper boundary a sphere at 60 km. To our
knowledge, this is (1) the first numerical model of the GEC to combine the
Earth's topography with directly approximating the differential operators in
3-D space and, related to this, (2) the first RBF-FD method to use irregular 3-D
stencils for discretization to handle the topography. It benefits from the
mesh-free nature of RBF-FD, which is especially suitable for modeling
high-dimensional problems with irregular boundaries. The RBF-FD elliptic
solver proposed here makes no limiting assumptions on the spatial variability
of the coefficients in the PDE (i.e., the conductivity profile), the right
hand side forcing term of the PDE (i.e., distribution of current sources) or
the geometry of the lower boundary. |
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