数学讲坛
发布于:2017-12-14 09:39:47   |   作者:[学院] 数学学院   |   浏览次数:1196
时间:2017年12月18日14:00-15:00
地址:清水河主楼A1-513
主办:数学科学学院
承办:数学科学学院
范围:全校

报告题目:Overcoming the added-mass instability for coupling incompressible flows and elastic beams

报 告 人:李龙飞

报告时间:2017年12月18日14:00-15:00

报告地点:清水河主楼A1-513

 

Abstract: A new partitioned algorithm is described for solving fluid-structure interaction (FSI) problems coupling incompressible flows with elastic structures undergoing finite deformations. The new algorithm, referred to as the Added-Mass Partitioned (AMP) scheme,  overcomes the added-mass instability that has for decades plagued partitioned FSI simulations of incompressible flows coupled to light structures.  Within a Finite-Difference framework, the AMP scheme achieves fully second-order accuracy and remains stable, without sub-time-step iterations, even for very light structures when added-mass effects are strong. The stability and accuracy of the AMP scheme is validated through mode analysis and numerical experiments. Aiming to extend the AMP scheme to an Finite-Element framework, we also develop an accurate and efficient Finite-Element Method for solving the Incompressible Navier-Stokes Equations with high-order accuracy up-to the boundary.

 

个人简介:李龙飞现任职于美国路易斯安那大学数学系,分别于2009年四川大学获得数学学士学位,2014年美国特拉华大学获得博士学位。2014-2017担任美国伦斯勒理工大学Margaret A. Darrin博士后研究员。目前主要研究兴趣为高性能科学计算,高阶有限差分和有限元算法,数值分析,数学建模和生物数学。在Journal of Computational Physics, Physics of Fluids, Math. Med. Biol. 等期刊发表学术论文近10篇。

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