Simulation of elastic filaments interacting with incompressible viscous
fluid by the immersed boundary method

Luoding Zhu
Math Dept of IUPUI

The Nature is rich in fluid flexible structure interaction problems. For
instance, the insect flights and the motion of red blood cells in blood
vessels.  Because of the complex three-dimensional free moving deformable
boundary and the coupled system of elasticity and hydrodynamics,
the coupling interaction of viscous fluids and elastic structures is
complicated and not well understood, even in a lower dimensional passive
case -- a flexible filament immersed in a viscous fluid.

It has become apparent that the immersed boundary (IB) method is a
practical method for solving problems of this type.  In this talk we
will discuss the IB method (both mathematical formulation and numerical
methods) and its current applications in simulation of a flexible fibre
tethered at its center point in a flowing viscous fluid and interaction
of elastic filaments with a 2D pulsatile flow.