Fluid–Structure Interaction in Hemodynamics: Modeling, Analysis, and Numerical Simulation - Fluid-Structure Interaction and Biomedical Applications - page 182

Fig. 2.15 Axial displacement ( top ) and radial displacement ( bottom ) at time t D 8 ms obtained
using the model capturing two structural layers ( left ), and the model capturing FSI with a single
thick structural layer [ 22 ]( right )
Fig. 2.16 Fluid velocity ( top ) and fluid pressure ( bottom ) at time t D 8 ms obtained using the
model capturing two structural layers ( left ), and the model capturing FSI with a single thick
structural layer [ 22 ]( right )
both the displacement as well as the fluid velocity and pressure in the composite, i.e.,
multi-layered structure case. Same data are used for both simulations. We further
compared the results of the multi-layered model with the single-layered model as
the thickness of the thin structure h goes to zero. As we decreased h, we increased H
to maintain the constant combined thickness h C H D 0:12cm. Figures 2.17 , 2.18 ,
and 2.19 show the flowrate, mean pressure, and displacement of the fluid-structure
interface obtained using different values of h. The results obtained using the single-
layered wall model correspond to the label h D 0. Indeed, we can see that as we
decrease the thickness of the fluid-structure interface, the numerical results obtained
using our multi-layered model approach the results obtained using the single-layered
FSI model! Notice how for h D 0:025cm the solutions obtained using the multi-
layered model and the single thick structure model (h D 0 in Figs. 2.17 , 2.18 ,
and 2.19 ) are almost identical.