数値解析・応用解析セミナー

11月8日(木) 15:30 -- 16:30  頼 明治（国立交通大学応用数学系, 中華民国）
            ``An unconditionally energy stable scheme for inextensible 
              interface problems with bending.''

  ＜研究発表要旨＞
In this talk, we introduce an immersed boundary scheme to solve the
non-stationary Stokes equations for inextensible interface problems with 
bending. The problem comes from the simulations of the vesicle dynamics 
in fluid flows. The scheme uses a linearly semi-implicit  discretization 
for the non-stationary Stokes part and we have proved that the spreading 
operator acting on the tension and the surface divergence operator acting 
on the velocity are skew-adjoint  both mathematically and numerically so 
that the resultant matrix without bending is symmetric.  Based on the 
scheme, we can successfully estimate the local error of the stretching 
factor.  Moreover, we can prove that the proposed immersed boundary scheme
is unconditionally energy stable. Some numerical results will be shown 
using the scheme. 

●セミナー室: 京都大学 総合研究12号館 2階203号
              （応用解析学講座セミナー室）

●総合研究12号館はキャンパスマップでは「京都大学本部構内 54番建物」です。
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セミナー連絡先: 京都大学大学院 情報学研究科 先端数理科学専攻
                 磯 祐介    e-mail; iso@i.kyoto-u.ac.jp