An adaptive remeshing strategy for free-surface Fluid
flow problems. Part I: the axisymmetric case.
A. Fortin*,
K. Benmoussa
GIREF
Département
de mathématiques et de statistique
Université
Laval,
ABSTRACT
In
this work, an anisotropic adaptive remeshing strategy
is used for the numerical simulation of free surface fluid
flow problems with surface tension. Carreau and power law models are used for shear-thinning
viscosity effects. A modified level set method
is also presented for the computation of free surfaces. Numerical examples are
then presented: the Young-Laplace relation, the
deformation of a drop in an axisymmetric die and the
deformation and breaking of drops in elongation and shear flows.
Part I will focus on axisymmetric geometries while
the second part will be concerned with the full three-dimensional case. The
main objective of this work is to show that this adaptive methodology can be
successfully applied to various types of free surface problems.
Keywords: Free surfaces, Surface tension, Shear-thinning fluids, Hierarchical error estimator, Anisotropic
adaptive remeshing, Deformation and breaking of
drops.