数学科学学院本科生论坛-50讲

2013-12-31

时间:2014年1月3日(星期五)9:00-11:30

(10:00-10:30 水果点心休)

 报告人: 方芳(07级试点班, Courant数学研究所)

       徐君(07级试点班, 数学学院11级研)

题目:流体力学中的一些数学模型问题

摘要:Part I. A simple computational model of a jellyfish-like flying machine.We explore theoretically the aerodynamics of a jellyfish-like flying machine recently fabricated at NYU. This experimental device achieves flight and hovering by opening and closing a set of flapping wings. It displays orientational flight stability without additional control surfaces or feedback control. Our model machine consists of two symmetric massless flapping wings connected to a body with mass and moment of inertia. A vortex sheet shedding and wake model is used for the flow simulation. Use of the Fast Multipole Method (FMM), and adaptive addition/deletion of vortices, allows us to simulate for long times and resolve complex wakes. We use our model to explore the physical parameters that maintain body hovering, its ascent and descent, and investigate the stability of these states.

Part II. 关于流体力学的一些前沿课题介绍

Part III. Navier-Stokes方程简介

题目:二维图片的三维重构

摘要:本报告将介绍由二维图片重构出三维结构的数学框架。主要分两块内容,一块是由运动到结构,另一块是由一张二维图片恢复三维结构。重点介绍由一张二维图片恢复出三维结构的方法。

 

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