The spectral simulation of axisymmetric non-Newtonian flows using time splitting techniques

Abstract

Algorithms for the transient simulation of axisymmetric non-Newtonian flows using spectral methods are described for the primitive variable formulation of the governing equations. A modification of the method of Ku et al. ( Comput. Fluids 15, pp. 195–214 (1987)) and the construction of an optimal approximation space for the pressure ensures that the velocity field is globally divergence free at the end of each time step. The application of these techniques to some fundamental non-Newtonian flow problems is described.