2011 Volume 59 Pages 245-256
A particle-in-cell approach using a fixed mesh and a set of Lagrangian markers is developed to numerically solve fluid-structure interaction problems. On the basis of a basic equation set for systems involving incompressible Newtonian fluid and neo-Hookean material, which has been formulated in a full Eulerian framework (Sugiyama et al. (2010) Comput. Mech., 46, 147), the conservation equations are solved on the fixed mesh. A numerical evaluation of a hyperelastic stress is combined with the Lagrangian markers, on which a left Cauchy-Green deformation tensor is temporally updated to quantify the solid deformation level. The simulation method is verified and validated for axisymmetric flows inside a neo-Hookean tube subjected to a pressure gradient. Further, the method is applied to tube flows containing discoid biconcave particles.
