~donliu

Graduate Research Assistantship is available through my research grant for a qualified graduate student who is self-motivated to be successful, a hard worker and eager learner, and has an applied mathematics, computational mathematics, engineering, or equivalent background with some programming experience. Preference will be given to students with research experience. Please contact me if you are interested.

Academic Background

Don Liu received his Ph.D. (2004) and M.S. (2000) in applied mathematics from the Division of Applied Mathematics, Brown University, and his Ph.D. (1998) in thermal fluid engineering from Chinese Academy of Sciences. He was appointed as a postdoctoral research associate in the University of Maryland Baltimore County and a research fellow at NASA Goddard Space Flight Center in May 2004. He joined Louisiana Tech University in 2006 as a tenure-track assistant professor.

Teaching

Mathematics 414 - Numerical Analysis [syllabus]: Fall 2008
Mechanical Engineering 449 - Introduction to Computational Fluid Dynamics [syllabus]: Spring 2008
Mathematics 407 - Partial Differential Equations [syllabus]: Fall 2006; Fall 2007
Mathematics 245 - Engineering Mathematics VI [syllabus]: Winter 2008
Mathematics 244 - Mathematics for Engineering & Science V [syllabus]: Spring 2007
Mathematics 243 - Mathematics for Engineering & Science IV [syllabus]: Fall 2006; Winter 2007; Fall 2007; Fall 2008
Mathematics 242 - Mathematics for Engineering & Science IV [syllabus]: Summer 2007

Awards

Travel Support from NSF & SIAM for Parallel Processing for Scientific Computing Conference, March 12-14, 2008, Atlanta, Georgia
Travel Support from NSF & IMA for Seventh MS State - UAB Conference, November 1-3, 2007, Birmingham, AL
Board of Regents Research Competitive Award, $84,000, 2007
Dissertation Fellow Award from Brown University, 2004, Providence, RI

Research Interests

Computational Fluid Dynamics
Computational Heat and Mass Transfer
Numerical Simulations of two phase flows with Force-Coupling Method
Numerical Simulations of Micro-scale Flows - Microelectromechanical Systems (MEMS)
Numerical Analyses and Solutions of Partial Differential Equations
Stochastic Modeling and Data Assimilation

Publications

MoSST_DAS: The First Generation Geomagnetic Data Assimilation Framework, Communications In Computational Physics, Vol. 3, NO. 1, p85-108, 2008. [PDF]
Spectral element simulation of flow past an ellipsoid at different Reynolds numbers, Proceedings of 9^th International Conference on Fluid Control, Measurement and Visualization, Tallahassee, Florida, September 16-19, 2007. [PDF]
Observing system simulation experiments in geomagnetic data assimilation, J. Geophysical Research, Vol. 112, B08103, doi:10.1029/2006JB004691, 2007. [PDF]
Spectral Element and Force-Coupling Method for Flow Past Three Dimensional Ellipsoidal Particles, submitted to J. Computational Physics. [PDF]
High order compact implicit difference methods for parabolic equations in geodynamo simulation, submitted to J. Computational Physics. [PDF]
Simulations of dynamic self-assembly of paramagnetic microspheres in confined microgeometries, J. Micromechanics and Microengineering, Vol. 15, p2298-2308, 2005. [PDF]
Dynamic Self-Assembly in Micropipes: Effect of Net Flow, Proceedings of 2004 Engineering Conference International: Transport Phenomena in Micro and Nano-devices, Kona, Hawaii, October 17-21, 2004. [PDF]
New Advances in Force-Coupling Method: from Micro to Macro, Proceedings of 2004 International Union of Theoretical and Applied Mechanics Symposium, Argonne National Laboratory, Argonne, Illinois, October 4-7, 2004. [PDF]
Dynamic self-assembly in confined micro-domains, Proceedings of 2004 ASME International Mechanical Engineering Congress and RD & D Expo, Anaheim, California, November 13-19, 2004. [PDF]
Self-assembled particle structures for microflow systems, Symposiums of 5^th International Conference on Multiphase, ICMF'04, Yokohama, Japan, May 30-June 4, 2004. [PDF]
Spectral distributed Lagrange multiplier method: algorithm and benchmark tests, J. Computational Physics, Vol. 195, p695-717, 2004. [PDF]
Modeling and optimization of colloidal micro-pumps, J. Micromechanics and Microengineering, Vol. 14, 2004. [PDF]
Fast methods for colloidal microdevices, Proceedings of 41^st Aerospace Sciences Meeting & Exhibit, AIAA 2003-0437, Reno, Nevada, January 6-9, 2003. [PDF]
A fast method for particulate microflows, J. Microelectromechanical System, Vol. 11, NO. 6, December 2002. [PDF]
Numerical Modeling of Turbulent Flow and Heat Transfer In A Pin-Finned Convergent Passage of A Gas Turbine Guiding Vane, Journal of Aerospace Power (in Mandarin), Vol. 13, No. 2, ISSN1000-8055, 1998.