Outline : |
Abstract
We provide an overview of the space-time finite element techniques developed by the Team for Advanced Flow Simulation and Modeling (T*AFSM) for modeling of fluid-structure interaction problems [1-2]. The core method is the Deforming-Spatial-Domain/Stabilized Space-Time formulation [3-4], complemented with the mesh update methods [1,5], including the Solid-Extension Mesh Moving Technique [1] and Move-Reconnect-Renode Mesh Update Method [5]. Also complementing the core method are the block-iterative, quasi-direct and direct coupling methods [1-2] for the solution of the fully-discretized, coupled fluid and structural mechanics equations. Additionally, the Surface-Edge-Node Contact Tracking technique [5] is introduced as a contact algorithm for the purpose of protecting the quality of the fluid mechanics mesh between the structural surfaces coming into contact. We also provide an overview of the more recent applications we have addressed, including those in arterial fluid mechanics.
References
[1] T.E. Tezduyar, S. Sathe, R. Keedy and K. Stein, "Space-Time Finite Element Techniques for Computation of Fluid-Structure Interactions", Computer Methods in Applied Mechanics and Engineering, 195 (2006) 2002-2027.
[2] T.E. Tezduyar, S. Sathe and K. Stein, "Solution Techniques for the Fully-Discretized Equations in Computation of Fluid-Structure Interactions with the Space--Time Formulations", Computer Methods in Applied Mechanics and Engineering, 195 (2006) 5743-5753
[3] T.E. Tezduyar, "Stabilized Finite Element Formulations for Incompressible Flow Computations", Advances in Applied Mechanics, 28 (1992) 1-44.
[4] T.E. Tezduyar, "Computation of Moving Boundaries and Interfaces and Stabilization Parameters", International Journal for Numerical Methods in Fluids, 43 (2003) 555-575.
[5] T.E. Tezduyar, S. Sathe, K. Stein and L. Aureli, "Modeling of Fluid-Structure Interactions with the Space-Time Techniques", Fluid-Structure Interaction (eds. H-J. Bungartz and M. Schafer), Lecture Notes on Computational Science and Engineering, Springer (2006) 50-81.
BIO-BIBLIOGRAPHY - Tayfun E. Tezduyar
Dr. Tezduyar received his Ph. D. from Caltech in 1982. After postdoctoral work at Stanford, he joined University of Houston as Assistant Professor in 1983, and University of Minnesota as Associate Professor in 1987. At University of Minnesota he was promoted to Professor in 1991 and was named a Distinguished McKnight University Professor in July 1997. Dr. Tezduyar was the Principal Investigator and Director of the Army HPC Research Center during the period January 1994 - October 1998. In July 1998 Dr. Tezduyar was named the James F. Barbour Professor in Mechanical Engineering at Rice University, and served as the Chairman of Mechanical Engineering and Materials Science from January 1999 to June 2004. Dr. Tezduyar holds a 1986 Presidential Young Investigator Award. He was elected a Fellow of the American Society of Mechanical Engineers in 1994, US Association for Computational Mechanics in 1999, International Association for Computational Mechanics in 2002, and American Academy of Mechanics in 2004. In 1996 he received, together with his research team, the Commander's Educational Award for Excellence from the US Army Soldier Systems Command. Dr. Tezduyar received the 1997 Computational Mechanics Award of the Japan Society of Mechanical Engineers, the 1997 Computational Fluid Dynamics Award of the US Association for Computational Mechanics, and the 1998 Computational Mechanics Award of the International Association for Computational Mechanics. In 2001, Dr. Tezduyar was awarded an honorary doctorate (Doctor Honoris Causa) from Slovak Republic. Dr. Tezduyar is currently serving a five-year term on the Executive Committee of the ASME Applied Mechanics Division and an eight-year term as corresponding member of the Executive Council of the International Association for Computational Mechanics. Dr. Tezduyar edited 22 volumes and published over 330 papers. Dr. Tezduyar is an Editor of Computational Mechanics and an Associate Editor of Mathematical Models and Methods in Applied Sciences. Dr. Tezduyar's areas of research interests include, computational fluid mechanics, fluid-structure interactions, computer modeling of cardiovascular fluid mechanics, computer modeling of parachutes, moving boundaries and interfaces, finite element methods, stabilized formulations, multiscale methods, free-surface and two-fluid flows, fluid-particle interactions, air circulation and contaminant dispersion, and parallel computing.
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