Sponsor:
State Key Laboratory of Scientific/Engineering Computing (LSEC)
Invited Lecturers:
Professor Jack Xin (University of California, Irvine, USA)
¡ª¡ªMathematical Modeling of the Ear and Sound Signal Processing
Abstract:
We shall introduce partial differential equations (PDE) of the inner ear based on principles of mechanics and neural science, then analyze and compute PDE solutions under various acoustic stimulii. Nonlinear interacions of sound waves and the sensitivity of hearing are captured by the ear PDEs which are dispersive in nature. Subsequently, we shall study discrete mixing models of sounds and blind source separation based on statistical/ algebraic principles and optimization techniques.
Dr. Fabio Nobile (Politecnico di Milano, Italy)
¡ª¡ªModeling and Simulation of Fluid-structure Interaction
Abstract:
Fluid structure interaction problems appear in many applications. Examples are: aeroelasticity, flow induced vibrations of cables/bridges/..., blood flow in human vessels, just to name a few.
Numerical simulations of these complex phenomena often pose several challenges and require a careful design of the spatial and temporal discretization to achieve good stability and accuracy properties.
The course aims at giving an introduction to the mathematical modeling and numerical simulation of fluid-structure interaction models.
Topics addressed will include:
1)Mathematical formulation of the fluid-structure problem and global energy balance
2) Added mass operator for linearized fluid models
3)Arbitrary Lagrangian formulation for the fluid equations in moving domains
4)Partitioned and Monolithic coupled fluid-structure algorithms
5)Fictitious domain formulation for immersed bodiesThe coure will include regular lectures as well as hands-on sessions where the students will be encouraged to experiment the algorithms presented during the lectures on simple fluid-structure applications.
Schedule:
May 19th, 2010 Deadline for Application
June 19th, 2010 Deadline for Admission
August 1st, 2010 Registration on the Summer School
August 2nd-14th, 2010 The Summer School
Contact Information:
Ms. Ru-juan Ding
Institute of Computational Mathematics
Chinese Academy of Sciences
P.O. Box 2719, Beijing 100190, China
Tel: +86-10-6254-5820
Fax: +86-10-6254-2285
E-mail: dingrj@lsec.cc.ac.cn
