Implicit Immersed Boundary Methods with Boundary Mass

  • Date: 10/12/2006

Yoichiro Mori (University of British Columbia)


University of British Columbia


The immersed boundary method is a general framework used to handle
fluid-structure interactions. One computational bottleneck of the
immersed boundary methods is that the elastic structures are often very
stiff, necessitating the use of a very fine time step. In this talk, we
will present an immersed boundary scheme in which the position of the
immersed elastic structure is treated implicitly. We show that the
resulting implicit method allows much greater time steps to be used
compared with an explicit method, and that the computational cost is
greatly reduced in certain test situations. We shall also show that the
implicit method provides a natural way in which to add addtional mass
to the immersed elastic structure.

Other Information: 

MITACS Math Biology Seminar 2006