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 1 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.
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