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数学学院、所2019年系列学术活动(第106场):李龙飞教授 美国路易斯安那大学

发表于: 2019-06-19 10:26  点击:

报告题目:A stable partitioned FSI algorithm for incompressible flow and deforming beams

报 告 人:李龙飞教授  美国路易斯安那大学

报告时间:20196209:00-11:00

报告地点:数学楼202研讨室

报告摘要:

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.

报告人简介:

李龙飞,现任美国路易斯安那大学数学系助理教授, 2009年获得四川大学学士学位,而后分别于2011年和2014年获得美国特拉华大学硕士及博士学位,2014年至2017年担任美国伦斯勒理工学院 Margaret A. Darrin postdoctal fellow,然后在美国路易斯安那大学数学系任教至今。主要研究兴趣为偏微分方程数值解、高性能计算方法,和数值分析。已在 Journal of Computational Physics, Journal of Computational and Applied Mathematics, physics of fluids等杂志发表科研论文10余篇。