An axis-free overset grid in spherical polar coordinates for simulating 3D self-gravitating flows

Author： Wongwathanarat A.   Hammer N. J.   Müller E.  

Publisher： Edp Sciences

E-ISSN： 1432-0746|514|issue|A48-A48

ISSN： 0004-6361

Source： Astronomy & Astrophysics, Vol.514, Iss.issue, 2010-05, pp. : A48-A48

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Abstract

Aims. Three dimensional explicit hydrodynamic codes based on spherical polarcoordinates using a single spherical polar grid suffer from a severerestriction of the time step size due to the convergence of grid linesnear the poles of the coordinate system. More importantly, numericalartifacts are encountered at the symmetry axis of the grid whereboundary conditions have to be imposed that flaw the flow near theaxis. The first problem can be eased and the second one avoided byapplying an overlapping grid technique.

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