Aymen Laadhari and Gábor Székely
Implicit Eulerian FluidStructure Interaction Method for the Modeling of Highly Deformable Elastic Membranes
665 - 674
2016
10
12
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10006134
https://publications.waset.org/vol/120
World Academy of Science, Engineering and Technology
This paper is concerned with the development of a
fully implicit and purely Eulerian fluidstructure interaction method
tailored for the modeling of the large deformations of elastic
membranes in a surrounding Newtonian fluid. We consider a
simplified model for the mechanical properties of the membrane, in
which the surface strain energy depends on the membrane stretching.
The fully Eulerian description is based on the advection of a modified
surface tension tensor, and the deformations of the membrane are
tracked using a level set strategy. The resulting nonlinear problem
is solved by a NewtonRaphson method, featuring a quadratic
convergence behavior. A monolithic solver is implemented, and we
report several numerical experiments aimed at model validation and
illustrating the accuracy of the presented method. We show that
stability is maintained for significantly larger time steps.
Open Science Index 120, 2016