Modelling of nonlinear diffusion phenomena on a 2D sphere and in a spherical shell

Yu.N. Skiba

Centre for Atmospherical Sciences (CCA), National Autonomous University of Mexico (UNAM), Mexico City, Mexico

D.M. Filatov

Centre for Computing Research (CIC), National Polytechnic Institute (IPN), Mexico City, Mexico

ABSTRACT: A novel numerical algorithm for the solution of nonlinear diffusion equation on the surface of a sphere and in a spherical shell is presented. The algorithm essentially employs splitting of the problem’s operator along coordinate directions; besides, the 2D lat-long problem is solved by using two different coordinate maps on the sphere. This leads to 1D finite difference problems with simple periodic boundary conditions in ...

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