Resumo (PT):
Abstract (EN):
We present a numerical study of a stabilization method for computing confined and
free-surface flows of highly elastic viscoelastic fluids. In this approach, the constitutive
equation based on the conformation tensor, which is used to define the viscoelastic
model, is modified introducing an evolution equation for the square-root conformation
tensor. Both confined and free-surface flows are considered, using two different
numerical codes. A finite volume method is used for confined flows and a finite
difference code developed in the context of the marker-and-cell method is used for
confined and free-surface flows. The implementation of the square-root formulation
was performed in both numerical schemes and discussed in terms of its ability and
efficiency to compute steady and transient viscoelastic fluid flows. The numerical
results show that the square-root formulation performs efficiently in the tested
benchmark problems at high-Weissenberg number flows, such as the lid-driven cavity
flow, the flow around a confined cylinder, the cross-slot flow and the impacting drop
free surface problem.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Nº de páginas:
23