Finite element calculation of time-dependent two-dimensional viscoelastic flow with the explicitly elliptic momentum equation formulation
Paul, J. Northey; Robert, C. Armstrong; Robert, A. Brown
Journal of Non-Newtonian Fluid Mechanics 36: 109-133
ISSN/ISBN: 0377-0257 DOI: 10.1016/0377-0257(90)85006-k
The explicitly elliptic momentum equation (EEME) formulation for the upper-convected Maxwell model is extended to the analysis of time-dependent flows. The formulation makes explicit the elliptic operator, which controls the spatial dependence of the velocity field, and the hyperbolic-like character of the time-dependent equations, which gives rise to the wave-like character of transients when inertia is included.