Coronal Holes and Icosahedral Symmetry

Details Coronal Holes and Icosahedral Symmetry Coronal Holes and Icosahedral Symmetry

Nov 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003ap%26ss.288..391n&link_type=abstract

Astrophysics and Space Science, v. 288, Issue 3, p. 391-408 (2003).

Astronomy and Astrophysics

Astrophysics

Solar Corona, Coronal Holes, Icosahedral Symmetry, Numerical Grids

Scientific paper

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).

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