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Coronal Holes and Icosahedral Symmetry |
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| Authors: | Wolfram Neutsch Herbert Kalisch Horst Fichtner S. Ranga Sreenivasan Maurice Shevalier |
| Affiliation: | 1. Astronomische Institute der Universit?t Bonn, Auf dem Hügel 71, D-53121, Bonn, Germany; E-mail 2. Institute für Astrophysik und Extraterrestrische Forschung der Universit?t Bonn, Auf dem Hügel 71, D-53121, Bonn, Germany; E-mail 3. Institut für Theoretische Physik IV: Weltraum- und Astrophysik, Universit?t Bochum, D-44780, Bochum, Germany; E-mail 4. Department of Physics and Astronomy, University of Calgary, 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada; E-mail |
| Abstract: | The study of the expansion of the solar wind out of a system of coronal holes is continued. To this end, we consider the numerical integration of partial differential equations for problems with icosahedral symmetry, in general. First, employing Weyl theory, orbifold coordinates are introduced. Second, the icosahedral coordinates are discussed in detail. Third, following an analysis of the properties of these coordinates and the derivation of a few expressions useful for grid construction, various alternatives for the distribution of lattice points required for numerical integration are considered. A comparison of these numerical grids motivates the choice of a specific grid optimized for the numerical integration carried out in the accompanying paper by Kalish et al.(2002). This revised version was published online in July 2006 with corrections to the Cover Date. |
| Keywords: | Solar corona coronal holes icosahedral symmetry numerical grids |
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