Efficient Semi-Implicit Schemes for Immersed Boundary Method

发布时间: 2014-04-23 03:45:00  

报告人:史作强,清华大学数学科学中心
时间: 周五(4月25日)下午3:00
地点:工学院1号楼210会议室。
主持人:史一蓬


摘要:
Immersed Boundary method is a widely used numerical method to
compute structure-fluid interact problem. It is also well known that
this method is suffer from the strong numerical stiffness. If explicit
scheme is used in time discretization, the time step must be very small
to keep stability. The stability of implicit scheme is much better, but
the computational cost is very high due to the strong nonlinearity of
the structure-fluid interact problem. In this talk, several
semi-implicit schemes are introduced to remove the numerical stiffness
of Immersed Boundary method. The computational cost of these
semi-implicit schemes is comparable with the explicit scheme, but the
stability is much better.


简历:
Education
• Sep. 2003–Jul 2008: Ph.D in Applied Mathematics, Zhou Pei-yuan Center for Applied Mathematics, Tsinghua University, Beijing, China.

• Nov. 2006–Feb. 2008: Special doctoral student in Applied and Computational Mathematics,Caltech, United States.

• Sep. 1999–Jul 2003: B.S. in Mathematics, Department of Mathematical Science, Tsinghua

University, Beijing, China.
Position
• Sep. 2011–Current: Associate professor, Mathematical Sciences Center, Tsinghua University.
• Sep. 2008–Sep. 2011 : Postdoctoral Scholar in Applied & Computational Mathematics, Caltech.

Research Interests
• Sparse Time-Frequency representation of nonlinear and nonstationary data.
• Analysis and computation of fluid with interface.
• Numerical methods for PDEs on point cloud.
• Singularity problems in fluid mechanics