Tsorng-Whay Pan
Professor of Mathematics
Office : 683 PGH
Office hours: 3pm - 4pm MW or by appointment (Spring, 2010)
Phone: (713) 743-3448; Fax: (713) 743-3505; e-mail : pan@math.uh.edu
The Courses I teach in Spring, 2010:
- Math4365: Numerical analysis (MW:4pm - 5:30pm at 301 AH)
(Prerequisites: Math 2431 (Linear Algebra), Math 3331 (Differential Equations). Ability to do computer assignments in one of the following programming languages: FORTRAN, C, Matlab, Pascal, Maple, or Mathematica; or consent of instructor.)
Research Interests:
- Fictitious domain methods and its applications:
- Numerical simulations of particulate flows in Newtonian and non-Newtonian fluids, including suspensions, sedimentation, liquid-solid fluidized bed, slurry transportation, and etc., by the distributed Lagrange multiplier/fictitious domain (DLM/FD) methods (we acknowledge the support of the NSF grants: ECCS-9527123, CBET-9873236, DMS-9973318, DMS-0209066, DMS-0443826).
- Immersed boundary methods and its applications :
- Numerical simulations of the red blood cell motion in blood flow (we acknowledge the support of the NSF grants: DMS-0443826 and DMS-0914788).
- Computational fluid dynamics: Incompressible viscous flows and Viscoelastic fluid flows
- Scientific computing
- Numerical analysis
My former Ph.D. Students:
The following is a list of students who completed Ph. D. under my direction and their current, or last known, positions. Any updates, or corrections, will be appreciated.
I have also supervised many M.S. students.
- Jian Hao, Ph.D., 2007, Postdoctoral fellow, Department of Mathematical Sciences, IUPUI, Indianapolis, IN.
- Tong Wang, Ph.D., 2008, Postdoctoral fellow, Department of Chemistry, Texas A&M University, TX.
Selected Publications
Animations of Particulate Flow :
- Sedimentation: balls, ellipsoids, truncated cylinders settling in an incompressible viscous Newtonian fluid
- Pattern formation of non-Brownian settling balls in a rotating fluid-filled horizontal cylinder
- Migration and orientation of a neutrally buoyant particle in 3D Poiseuille flows.
- Fluidization: 1024 ball fluidized bed, fluidization of 60 truncated cylinders
Seminars and Conferences:
- Scientific Computing seminar: Thursdays, 3:00 PM, Room 634 S&R1.
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July 9 - 12, 2008: International Conference on Modeling and Simulation, Xi'an Jiaotong University,Xi'an, Shaanxi, China.
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March 9 and 10, 2007: France - USA Conference on
Applied and Numerical PDEs at 232 PGH, University of Houston.
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March 2 and 3, 2007: 2007 Texas Finite Element Rodeo
at 232 PGH, University of Houston.
Date of last change: January, 2010.