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Research Overview * Modeling and numerical simulation for non-continuum complex flows with concentrated poly-disperse suspensions * Entropy-stable approximate methods in computational fluid dynamics * Numerical methods for free boundary and moving interface problems * Analytical and computational problems in materials science, numerical simulations of martensitic phase transition and microstructure Publications [1]. E. Tadmor, W. Zhong (2006) Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity, Journal of Hyperbolic Differential Equations, Vol. 3, No. 3 (2006) 529-559 [2]. A. Madrane, E. Tadmor, and W. Zhong (2010) Entropy conservative schemes of nonlinear conservation laws on unstructured grids, Accepted by the 13th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Beijing, China (2010) [3]. E. Tadmor, W. Zhong (2008) Energy-preserving and stable approximations for the two-dimensional shallow water equations, [4]. E. Tadmor, W. Zhong (2007) Novel entropy stable approximations of 1D and 2D fluid models, ``Hyperbolic Problems: Theory, Numerics, Applications'', Proceedings of the 11th International Conference held in Lyon, July 2006 (S. Benzoni-Gavage and D. Serre, eds.), Springer (2007) 1111-1120. [5]. E. Tadmor, E. S. Titi, W. Zhong On the vanishing Leray-alpha and related models of nonlinear conservation laws, In preparation Presentations [1]. Modified immersed-boundary approximation of highly concentrated suspensions SIAM Conference Mathematics for Industry: Challenges and Frontiers (MI09), San Francisco, California, Octobor, 2009. [2]. Immersed-boundary modeling and simulations for concentrated suspensions Corning M/S Weekly Seminor, Corning Inc., Corning, New York, August, 2009. Corning M/S Weekly Seminor, Corning Inc., Corning, New York, September, 2008. [4]. Introduction of numerical packages for simulating complex fluids Postdoc/Graduate Student Seminar, Statistical and Applied Mathematical Sciences Institute, Durham, North Carolina, November, 2007. [5]. Novel entropy-stable schemes for fluid equations invited talk in Graduation Conference 2007, the University of Maryland, College Park, Maryland, April, 2007. [6]. Novel entropy stable approximations of 1D and 2D fluid models invited talk in CSE Student Prize Session, SIAM Conference on Computational Science and Engineering, Costa Mesa, California, February, 2007. [7]. Energy preserving schemes for 2D shallow water equations College Park, Maryland, October. 2006 [8]. On discrete version of the second law of thermodynamics 11th International Conference on Hyperbolic Problems, Theories, Numerics, Applications, Lyon, France, July 2006 [9]. On the entropy stable approximations of Navier-Stoke equations with no artificial numerical viscosity Boston, Massachusetts, July 2006 [10]. Construction of a new family of entropy stable difference schemes for 1D Navier-Stokes equations Research interaction team of application of partial differential equations, College Park, Maryland, March 2006 [11]. Introduction of kinetic theorem Research interaction team of simulation and computation in fluid and material science, College Park, Maryland, April 2004 Research Projects [1]. Multi-scale modeling and simulation of complex poly-disperse suspensions with applications in extrusion flows Supervisor : Dr. Amy Rovelstad, Science and Technology, Corning Inc., Corning, New York, Sept. 2008 - Current [2]. Analysis and Computation for biological fluids Supervisor : Dr. Gregory Forest, Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina, Sept. 2007 - August 2008 [3]. Numerical simulations of cell dynamics in immunization Supervisor : Dr. Zvi Grossman, NIAID, National Institute of Health, Bethesda, Maryland, June 2007 - August 2007 [4]. Numerical study of the development and homeostasis of T-cell memory Supervisor : Dr. Zvi Grossman and Dr. Martin Meier-Schellersheim, NIAID, National Institute of Health, Bethesda, Maryland, June 2007 - August 2007 [5]. Numerical simulations in 2D martensitic transition and microstructure Supervisor : Prof. Bo Li, Department of Mathematics, University of Maryland, College Park, Maryland, Sept. 2003 - May 2004 [6]. Parallel linear solver for large system Supervisor: Prof. Dongshen Fu, Department of Mathematics, Nanjing University, Nanjing, China, Sept. 1999 - June 2000 |