Numerical PDEs for Fluid-Structure Interaction (FSI) Problems

报告时间:2022102511:00-12:00

报告地点:腾讯会议号 927926596

报告人简介:Dr. Pengtao Sun (孙澎涛)   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.

报告摘要:

    The interaction of a flexible structure  with a flowing fluid in which it is submersed or by which it is  surrounded gives rise to a rich variety of physical phenomena with  applications in many fields of engineering, named as fluid-structure  interactions (FSI). To understand these phenomena, we need to find an  effective way to model and simulate both fluid and structure,  simultaneously, by investigating the interaction between them. In  general, FSI problems require the fluid and the structure fields at the  common interface to share not only the same velocity but also the common  traction force. There are currently several major approaches classified  with respect to the numerical treatment how the interfacie conditions  of FSI are dealt with on the moving interface. In my talk, I will  introduce three numerical techniques studied in my research for solving  FSI problems: (1) body-fitted mesh (arbitrary Lagrangian-Eulerian)  method, (2) body-unfitted mesh (fictitious domain) method, and (3)  meshfree (deep neural network) method. 

    Our  applications to FSI problems range from hydrodynamics (physics) to  hemodynamics (biology, physiology), in which the involved structures are either  incompressible or compressible and bear a deformable and/or rotational  constitutive relation while the surrounding fluid flow is incompressible  or nearly incompressible. In particular, our well-developed numerical  methods have been successfully applied to several realistic dynamic FSI  problems. Some belong to the hydrodynamics that involve a deforming  and/or spinning turbine which is immersed in the fluid flow. Others  belong to the hemodynamical applications, e.g., a rotating artificial  heart pump inside the artery to help on curing the heart−failure  patients, and an intravascular stent inside the blood fluid to treat the  aneurismal patients. Both applications are to improve the human  cardiovascular system and to remedy cardiovascular diseases. Some  animations will be shown in this talk to illustrate that the proposed  and well analyzed numerical methods can produce high fidelity numerical  results for realistic FSI problems in an efficient and accurate fashion.