Spectral variational approach to the non-Newtonian Stokes problem in a spherical shell

Ondrej Cadek , Zdenek Martinec & Ctirad Matyska


The hybrid-variational formulation of the Stokes equation for incompressible non-Newtonian flow is suggested. A spherical harmonic technique is adopted to discretize the problem. In the case of non-Newtonian rheology, the energy functional becomes non-quadratic. To minimize it on the set of admissible stress-functions, the gradient method is used and the convergence of the method is demonstrated.

Computer Physics Communications, 71 (1992), 56-70.