Modelling of nonlinear diffusion phenomena on a 2D sphere and in a spherical shell
Centre for Atmospherical Sciences (CCA), National Autonomous University of Mexico (UNAM), Mexico City, Mexico
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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