
Dr. Don Liu
Tenure-Track Assistant Professor
Mathematics and Statistics, Louisiana Tech University
Ruston, LA 71272 USA
Tel: (318) 257-4670 Fax: (318) 257-3823
E-mail: donliu@LaTech.edu
http://www.latech.edu/~donliu
Graduate Research Assistantship
is available through my research grant for qualified graduate students who are
well-motivated with good work ethics and a background in
applied mathematics, computational mathematics, engineering, or something equivalent.
Preference is given to students with research experience and
programming skills in C or C++. Please contact me
if you are qualified and seriously 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 B.Sc. in thermal fluid engineering
from Southeastern University. He accepted a joint appointment as Postdoctoral Research
Associate at the University of Maryland Baltimore County and Research Fellow at NASA Goddard
Space Flight Center in May 2004. Dr. Liu joined Louisiana Tech University as a
tenure-track Assistant Professor in 2006.
Courses
-
Mechanics & Materials MEMT 312 [Syllabus]:
Spring 2009
-
Mechanical Engineering MEEN 449 - Introduction to
Computational Fluid Dynamics [syllabus]: Spring 2008
-
Mathematics MATH 414 - Numerical Analysis I [Syllabus]: Fall
(2008, 2009)
-
Mathematics MATH 415 - Numerical Analysis
II [Syllabus]: Winter
(2009, 2010)
- Mathematics MATH 407 - Partial Differential
Equations [syllabus]: Fall (2006,
2007)
- Mathematics MATH 405/505 -
Linear Algebra [Syllabus]: Spring (2011)
- Mathematics MATH 308 -
Introduction to Linear Algebra [Syllabus]: Winter (2011,
2012)
- Mathematics MATH 245 -
Differential Equations (Engineering Mathematics)
[syllabus]: Winter 2008, Summer (2009,
2010, 2011)
-
Mathematics MATH 244 - Mathematics for Engineering
& Science V [syllabus]: Spring
(2007,
2010), Fall (2010, 2011)
-
Mathematics MATH 243 - Mathematics for Engineering
& Science IV [syllabus]: Fall (2006,
2007, 2008, 2009),
Winter 2007, Summer (2008, 2009, 2010, 2011)
-
Mathematics MATH 242 - Mathematics for Engineering
& Science III [syllabus]: Summer 2007
Awards
-
National Science Foundation award (PI),
DMS-1115546, Oct. 1, 2011- Sept. 2014
-
Post-doctoral/Early career travel award from NSF & SIAM for
Parallel Processing for Scientific Computing Conference, March 12-14, 2008,
Atlanta, Georgia
- Early career travel
award from NSF & IMA for Seventh
MS State - UAB Conference, November 1-3, 2007, Birmingham, AL
-
Board of Regents Research Competitive Award (PI), LEQSF2007-10-RD-A-22, 2007-2011
-
Dissertation Fellow Award from Brown
University, 2004
Research Interests
- Computational Fluid Dynamics, Scientific
and Parallel Computing
- Numerical Simulations of
Disperse Flows, Two-Phase Flows
-
Numerical Simulations of Micro- and Nano-flows, Microelectromechanical Systems (MEMS),
and Functional Nanodevices
- Numerical Analysis and Solutions of Partial Differential Equations
with Finite Element, Spectral, Spectral Element, Finite Difference, Finite
Volume methods
-
Computational Heat and Mass Transfer
-
Stochastic Modeling and Data Assimilation
using Kalman filters
Selected Publications
-
A Sixth-Order Accuracy Solution to
Modified Boussinesq-Type Equations with Coupled Compact Methods, to be submitted,
Jan. 2012
-
Finite Element and Spectral Element
Solutions to Modified Boussinesq Equations, to be submitted
Jan. 2012
-
GMR Sensors: Technologies and Medical
Applications,
Journal of Recent Patents on Nanomedicine, Vol. 1, No. 2, p1-8,
2011
-
Spectral Element Modeling of Sediment
Transport in Shear Flows,
Journal of
Computer Methods in Applied Mechanics and Engineering, Vol. 200,
p1691-1707,
April 2011 [PDF]
- Joint Simulations of
Confined Diffusion inside Nanotubules, Journal of
Computational and Theoretical Nanoscience,
Vol. 8, No. 2, p1-11, 2011 [PDF]
- Force-Coupling Method for Flows
with Ellipsoidal Particles,
Journal of Computational Physics,
Vol. 228, p3559-3581, 2009 [PDF]
- Spectral Element Simulations of Flow Past
An Ellipsoid At Different Reynolds Numbers, Electronic Journal of Differential Equations,
Proc. Conf. 17, p149-157, 2009 [PDF]
- High order compact implicit difference methods for parabolic equations in
geodynamo simulation, J. Advances in
Mathematical Physics,
Vol. 2009, Article ID 568296,
doi:10.1155/2009/568296,
2009 [PDF]
- 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
9th International
Conference on Fluid Control, Measurement and Visualization, Tallahassee,
Florida, September 16-19, 2007 [PDF]
- Observing system simulation
experiments in geomagnetic data assimilation, Journal of Geophysical Research, Vol. 112,
B08103,
doi:10.1029/2006JB004691,
2007 [PDF]
-
Simulations of dynamic self-assembly of paramagnetic microspheres in confined
microgeometries, Journal of 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 5th International Conference on Multiphase, ICMF'04,
Yokohama, Japan, May 30-June 4, 2004 [PDF]
- Spectral distributed Lagrange multiplier method: algorithm and benchmark tests,
Journal of Computational Physics, Vol. 195, p695-717, 2004 [PDF]
- Modeling and optimization of colloidal micro-pumps,
Journal of Micromechanics
and Microengineering, Vol. 14, 2004 [PDF]
- Fast methods for colloidal microdevices,
Proceedings of
41st Aerospace Sciences Meeting & Exhibit, AIAA 2003-0437, Reno,
Nevada, January 6-9, 2003 [PDF]
- A fast method for particulate microflows,
Journal of Microelectromechanical
System, Vol. 11, NO. 6, December 2002 [PDF]
- Numerical
modeling of turbulent flow and heat transfer in a pin-finned convergent
passage of gas turbine guiding vane, Journal of Aerospace Power, (in
Mandarin) Vol.
13, No. 2, pp. 189-194, ISSN1000-8055, April 1998
Sample Pictures of Hybrid Meshes for Spectral Element Methods
Unstructured Mesh for DNS Simulation of the Peristaltic Pump - Six Chained Spheres Inside A Channel
Structured Mesh: An Off-Centered Sphere in A Duct
Structured Mesh: Two Off-Centered Spheres in A Duct
Structured Mesh: The Ellipsoid Surface
Structured Mesh: An Ellipsoid in the Middle of A Duct
Structured Mesh: A 15 Degree Tilted Off-Centered Ellipsoid in A Duct
Structured Mesh: A 45 Degree Tilted Centered Ellipsoid in A Duct
Sample Movies of Numerical Simulations
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