An adaptive remeshing strategy for
free-surface FLUid FLOw problems.
Part II: the three-dimensional case.
K. Benmoussa, A. Fortin *
GIREF
Département de mathématiques et de statistique
Université Laval,
In
the first part of this work, an anisotropic
adaptive remeshing strategy was used for the
numerical simulation of free surface fluid flow problems with surface tension in axisymmetric geometries. This second part is concerned with
its three-dimensional generalization which is a much more challenging task. The
number of degrees of freedom now requires iterative methods which are very
sensitive to the quality of the mesh. Mesh adaptation itself is more difficult:
local operations on meshes are more delicate and the respect of the underlying
geometry (CAD) is also a major difficulty. The focus of this paper will thus be
given to the three dimensional generalization of the different algorithms
introduced in Part I. The same program was used for both axisymmetric
and three-dimensional geometries but some important modifications
need to be discussed in the last case. Numerical examples will then be
presented: the Young-Laplace problem, the deformation
and breakup of drops and the drop to drop interaction
in shear flows.
Keywords: Three-dimensional free surfaces,
Surface tension, Anisotropic adaptive remeshing,
Finite element method, Drop deformation and breakup,
drop to drop interaction in shear flow.