Open Science Research Excellence
@article{(International Science Index):http://waset.org/publications/10006134,
  title    = {Implicit Eulerian Fluid-Structure Interaction Method for the Modeling of Highly Deformable Elastic Membranes},
  author    = {Aymen Laadhari and  Gábor Székely},
  country   = {Switzerland},
  institution={Swiss Federal Institute of Technology Zurich},
  abstract  = {This paper is concerned with the development of a
fully implicit and purely Eulerian fluid-structure 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 Newton-Raphson 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.},
    journal   = {International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering},  volume    = {10},
  number    = {12},
  year      = {2016},
  pages     = {665 - 674},
  ee        = {http://waset.org/publications/10006134},
  url       = {http://waset.org/Publications?p=120},
  bibsource = {http://waset.org/Publications},
  issn      = {eISSN:1307-6892},
  publisher = {World Academy of Science, Engineering and Technology},
  index     = {International Science Index 120, 2016},
}