Invited plenary speaker: G.R. Liu, a Professor of Aerospace Engineering and Engineering Mechanics at the University of Cincinnati, USA
S-PIM and GSM: Theory, Formulation, and Applications to Solids, Fluids, and Fluid-Structure Interaction (FSI) problems
Theory and Formulation: This talk introduces first the smoothed point interaction method (S-PIM) for solid and structure mechanics problems, and the gradient smoothing method (GSM) for fluid mechanics problems. We then present the techniques that combine the fluid and structure solvers for fluid-structure interaction problems. For the structure solver, the so-called weakened weak (W2) formulation will be presented that guarantees stable and convergent solutions. We then present a family of W2 models known generally as S-PIM. For fluids, our formulation will be based on strong form, and stability is achieved through the consistent used of gradient smoothing operation using both node-based and edge-based smoothing domains. Properties of these methods important for automations in computation will be discussed including: 1) spatial and temporal stability and convergence; 2) softening effects induced by various types of smoothing domains; 3) upper bound properties leading to certified solutions real-time computational models; 3) insensitivity to the quality of mesh allowing effective uses of triangular/tetrahedral meshes best suited for adaptive analyses.
Applications: Examples will be presented for simulating material behavior at extreme situations, automatic shock wave capturing in fluids, and fluid structural interaction problems including helicopter blades interacting with subsonic airflows, and bio-tissue interacting with blood flows in micro-veins and heart chambers.
Keywords: FEM, meshfree, S-FEM, S-PIM, numerical methods, modeling and simulation, weakened weak formulation
About the author:
G.R. Liu received PhD from Tohoku University, Japan in 1991. He was a PDF at Northwestern University, USA from 1991-1993. He is currently a Professor and Ohio Eminent Scholar (State Endowed Chair) at the School of Aerospace Systems, University of Cincinnati. He served as the School Faculty Chair the School of Aerospace Systems, University of Cincinnati. He also served as a Deputy Head of the Department of Mechanical Engineering, the Director of the Centre for Advanced Computations in Engineering Science (ACES), National University of Singapore, and the President of the Association for Computational Mechanics, and President of the Asia-Pacific Association for Computational Mechanics. He is currently an Executive Council member of the International Association for Computational Mechanics. He authored a large number of international journal papers and books including two bestsellers: “Mesh Free Method: moving beyond the finite element method” and “Smoothed Particle Hydrodynamics: a Meshfree Particle Methods.” He authored recently a new book on Smoothed Finite Element Methods that are now used for various types of problems. He is the Editor-in-Chief of the International Journal of Computational Methods, Associate Editor of the international technical journal Inverse Problems in Science and Engineering (IPSE) and Microfluidics and Nanofluidics (MANO), and served as an editorial member of five other journals including the IJNME. He is the recipient of numerous awards, including the Singapore Defence Technology Prize, NUS Outstanding University Researcher Award and Best Teacher Award, the APACM Computational Mechanics Awards, the ICACM Computational Mechanics Awards, the JSME Computational Mechanics Awards from JSME, the ASME Ted Belytschko Applied Mechanics Award, and the APACM Zienkiewicz Medal. He is listed as a world top 1% most influential scientist (Highly Cited Researchers) by Thomson Reuters in 2014, 2015 and 2016.
Professor Liu website can be found under this link