@misc{oai:repo.qst.go.jp:00060742,
 author = {Aoki, Takayuki and Ikehira, Hiroo and et.al and 青木 尊之 and 池平 博夫},
 month = {Sep},
 note = {In order to describe accurately the geometry of moving interface, we have developed the INTERGRID method on Cartesian coordinate system based on the IDO (Interpolated Differential Operator) scheme in the similar way with Cut-Cell technique. New grid points INTERGRID are inserted in-between Cartesian grid lines pointing the structure surface. In this paper, the INTERGRID is able to move to trace evolving surface and Navier-Stokes equation is solved on it by the IDO scheme. In this method, extremely irregular grid intervals at the grids neighboring to INTERGRID appear and degrade the accuracy of numerical results, and interpolation process is frequently required in generating new INTERGRID. Both the problems are solved by the Hermite interpolation employed by IDO scheme by using the value and its derivative given independently. In our simulation, the EDEM(Extended Discrete Element Method)describe the elastic deformation of the structure, and coupled with fluid calculation through the INTERGRID. The pressure and shear stress at the massive particles constructing the structure are calculated by 3rd order interpolation of IDO scheme. We study the interaction of the elastic vessel with blood flow injected pulsatively comparing with the case of rigid vessel. It is found that the pressure at the inner wall has lower peak then that of the rigid vessel case, and the velocity response of the outflow is delayed. The amplitude of wall displacement is comparable level in both the cases. It is concluded that present method is effective to simulate the interaction between flows and elastic structure, and easily applicable to complicated fluid-structure interaction phenomena in bioengineering. The disadvantage of locally required high resolution will be overcome by AMR(Adaptive Mesh Refinement)method applicable to out scheme without large difficulties., WCCM VI in conjunction with APCOM '04},
 title = {A Numerical Method of IDO Scheme for Fluid-Structure  Interaction on Cartesian Grid},
 year = {2004}
}