报 告 题 目：Modeling and Numerical Studies for Fluid-Structure Interactions and Applications in Hydrodynamics & Hemodynamics

主 讲 人：Pengtao Sun

单 位：University of Nevada, Las Vegas

时 间：11月3日8:00

腾 讯 ID:776-278-973

摘 要：

In this talk, I will present our recent study on a dynamic fluid-structure interaction (FSI) problem involving a rotational and elastic structure by means of the arbitrary Lagrangian-Eulerian (ALE) method for fluid model in Eulerian description and the St.Venant-Kirchhoff structural model in Lagrangian description, and design its monolithic mixed finite element approximation. In addition, our studies on fictitious domain method and full Eulerian phase field method for FSI problems will be also introduced. In particular, in terms of ALE method, we developed a nonlinear rotational and deformable structural model for FSI for the first time. The technique of master-slave relations is employed to realize the interfacial kinematic condition on the interface of fluid and structure. Velocity is adopted as the principle unknown to reformulate the structural model. Our ALE algorithm can also handle a large and irregular fluid flow channel in which the rotational structure is immersed. We use Newton’s method to linearize, and Galerkin/least-square (GLS) and streamline- upwind/Petrov-Galerkin (SUPG) schemes to stabilize the mixed finite element discretization for fluid equations involving ALE approach. Numerical experiments are successfully carried out for a simplified turbine in 2D and a realistic turbine in 3D which are deforming as well as spinning around its axis of rotation due to the fluid impact. In addition, we also accomplished the FSI simulation for a type of artificial heart pump which involves a rotating structure as well but rigid body. A cardiovascular simulation with the artificial heart pump is successfully performed, finally.

简 介：

Dr. Pengtao Sun is a Full Professor of Department of Mathematical Sciences in University of Nevada, Las Vegas (UNLV). Dr. Sun obtained his PhD degree from Institute of Mathematics, Chinese Academy of Sciences in 1997. Before joining University of Nevada, Las Vegas in 2007, he worked as Research Scientist, Postdoctoral Fellow, Research Associate and Assistant Professor in Chinese Academy of Sciences, The Hong Kong Polytechnic University, Pennsylvania State University and Simon Fraser University. Dr Sun’s primary research fields are Numerical PDEs and Scientific & Engineering Computing with applications to miscellaneous multiphysics problems in the fields of solid mechanics, fluid dynamics, fuel cell dynamics, fluid-structure interactions, hemodynamics, electrohydrodynamics, and etc. Dr. Sun’s research has been continuously supported by National Science Foundation, Simons Foundation, and UNLV’s Faculty Opportunity Awards since 2008. Dr. Sun was the recipient of Distinguished Researcher Award at College of Sciences, UNLV in 2016.