Tsorng-Whay Pan

Tsorng-Whay Pan
Professor of Mathematics
Department of Mathematics
University of Houston
Houston, TX 77204-3008

Office : 683 PGH
Office hours: MTWTF 11AM - 12PM or by appointment
Phone: (713) 743-3448; Fax: (713) 743-3505; e-mail : pan@math.uh.edu

The Courses I teach (Summer I, 2008)

Math1314: Business Calculus , MTWTF 12PM - 2PM at 105 SEC
Prerequisite: Credit for or placement out of Math 1310. Students with prior credit for Math 1431 will not be permitted to enroll in or receive credit for Math 1314.

Research Interests:

Fictitious domain methods and its applications
Numerical simulations of particulate flows (suspensions, sedimentation, liquid-solid fluidized bed, slurry transportation, and etc.)
Computational fluid dynamics
Scientific computing
Numerical analysis

Conferences:

July 9 - 12, 2008: International Conference on Modeling and Simulation, Xi'an Jiaotong University,Xi'an, Shaanxi, China.
March 2 and 3, 2007: 2007 Texas Finite Element Rodeo at 232 PGH, University of Houston.
March 9 and 10, 2007: France - USA Conference on Applied and Numerical PDEs at 232 PGH, University of Houston.

Some Animations of Particulate Flow: Sedimentation, Suspension, Fluidization and etc.

Selected Publications:

R. Glowinski, T.-W. Pan, J. Periaux, A fictitious domain method for Dirichlet problem and applications, Comp. Meth. Appl. Mech. Eng. 111 (1994), pp. 283-303.
R. Glowinski, T.-W. Pan, J. Periaux, A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations, Comp. Meth. Appl. Mech. Eng. 112 (1994), pp. 133-148.
R. Glowinski, T.-W. Pan, J. Periaux, A Lagrange multiplier/fictitious domain method for the Dirichlet problem. Generalization to some flow problems, Japan J. Indust. Appl. Math. 12 (1995), pp. 87-108.
J. Feng, D. D. Joseph, R. Glowinski, T.-W. Pan, A three-dimensional computation on the force and moment on an ellipsoid settling slowly through a viscoelastic fluid, J. Fluid Mech. 283 (1995), pp. 1-16.
R. Glowinski, A. J. Kearsley, T.-W. Pan, J. Periaux, Numerical simulation and optimal shape for viscous flow by fictitious domain method, Int. J. Numer. Methods Fluids 20 (1995), pp. 695-711.
R. Glowinski, T.-W. Pan, R. O. Wells, X. Zhou, Wavelet and finite element solutions for the Neumann problem using fictitious domains, J. Comput. Phys. 126 (1996), pp. 40-51.
R. Glowinski, T.-W. Pan, J. Periaux, A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies (I): The case where the rigid body motions are known a priori, C. R. Acad. Sci. Paris, Serie I, 324 (1997), pp. 361-369.
T.-W. Pan, On the existence of infinitely many limit points on the solution branch of planar shear flow of nematic liquid crystals, J. Math. Ana. Appl. 208 (1997), pp. 120-140.
R. Glowinski, T.-W. Pan, J. Periaux, Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies, Comp. Meth. Appl. Mech. Eng. 151 (1998), pp. 181-194.
T.-W. Pan, Error estimates for a fictitious domain method with Lagrange multiplier treatment on the boundary for a Dirichlet problem, Japan J. Indust. Appl. Math. 15 (1998), pp. 75-85.
R. Glowinski, T.-W. Pan, T. I. Hesla and D.D. Joseph, A distributed Lagrange multiplier/fictitious domain method for particulate flows, Int. J. Multiphase Flow 25 (1999), pp. 755-794.
T.-W. Pan, V. Sarin, R. Glowinski, A. Sameh and J. Periaux, A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particular flow and its parallel implementation, in Parallel Computational Fluid Dynamics, Development and Applications of Parallel Technology, C.A. Lin, A.Ecer, N. Satofuka, P. Fox, and J. Periaux eds., North-Holland, Amsterdam, 1999, pp. 467-474.
R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph and J. Periaux, A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow, Int. J. Numer. Methods Fluids 30 (1999), pp. 1043-1066.
T.-W. Pan, Numerical simulation of the motion of a ball falling in an incompressible viscous fluid, C. R. Acad. Sci. Paris, Serie IIb, 327 (1999), pp. 1035-1038.
R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph and J. Periaux, A distributed Lagrange multiplier/fictitious domain method for the simulation of flows around moving rigid bodies: Application to particulate flow, Comp. Meth. Appl. Mech. Eng. 184 (2000), pp. 241-268.
T.-W. Pan, Existence and multiplicity of radial solutions describing the equilibrium of nematic liquid crystals on annular domains, J. Math. Ana. Appl. 245 (2000), pp. 266-281.
T.-W. Pan and R. Glowinski, A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations, Computational Fluid Dynamics Journal 9 (2000), pp. 28-42.
T.-W. Pan, V. Sarin, R. Glowinski, J. Periaux and A. Sameh, Parallel solution of multibody store separation by a fictitious domain method, in Parallel CFD '99, D. Keyes ed., North-Holland, Amsterdam, 2000, pp. 329-336.
T.-W. Pan, D.D. Joseph, R. Glowinski. Modeling Rayleigh-Taylor instability of a sedimenting suspension of several thousand circular particles in direct numerical simulation, J Fluid Mech. 434 (2001), pp. 23-37.
R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph and J. Periaux, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow, J. Comput. Phys. 169 (2001), pp. 363-427.
T.-W. Pan, Numerical simulation of the motion of neutrally buoyant particles in plane Poiseuille flow of a Newtonian fluid, C. R. Acad. Sci. Paris, Serie IIb, 329 (2001), pp. 435-438.
T.-W. Pan, D.D. Joseph, R. Bai, R. Glowinski, V. Sarin, Fluidization of 1204 spheres: simulation and experiments, J. Fluid Mech. 451 (2002), pp. 169-191.
L.H. Juarez, R. Glowinski, T.-W. Pan, Numerical simulation of the sedimentation of rigid bodies in an incompressible viscous fluid by Lagrange multiplier/fictitious domain methods combined with the Taylor-Hood finite element approximation, J. Scientific Computing 17 (2002), pp. 683-694.
T.-W. Pan, R. Glowinski, Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow, J. Comput. Phys. 181 (2002), pp. 260-279.
T.-W. Pan, R. Glowinski, and G.P. Galdi, Direct simulation of the motion of a settling ellipsoid in Newtonian fluid, J. Comput. Appl. Math. 149 (2002), pp. 71-82.
N. R. Amundson, T.-W. Pan, V. I. Paulsen, Diffusion with Stefan and Maxwell, AIChE Journal 49 (2003), pp. 813-830.
R. Glowinski, Y.A. Kuznetsov, and T.-W. Pan, On a penalty/Newton/conjugate gradient method for the solution for obstacle problems, C. R. Acad. Sci. Paris, Serie I, 336 (2003), pp. 435-440.
B. Dacorogna, R. Glowinski, and T.-W. Pan, Numerical methods for the solution of a system of Eikonal equations with Dirichlet boundary condition, C. R. Acad. Sci. Paris, Serie I, 336 (2003), pp. 511-518.
T.-W. Pan, R. Glowinski, and D.D. Joseph, Simulating the dynamics of fluid-ellipsoid interactions, Computers and Structures 83 (2005), pp. 463-478.
B.H. Yang, J. Wang, D.D. Joseph, H.H. Hu, T.-W. Pan and R. Glowinski, Numerical study of particle migration in tube and plane Poiseuille flows, J. Fluid Mech. 540 (2005), pp. 109-131.
T.-W. Pan, R. Glowinski, Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow, C. R. Mecanique, Acad. Sci. Paris, 333 (2005), pp. 884-895.
R. Glowinski, T.-W. Pan, J. Periaux, Numerical simulation of a multi-store separation phenomenon: A fictitious domain approach, Comp. Meth. Appl. Mech. Eng. 195 (2006), pp. 5566-5581.
R. Glowinski, G. Guidoboni, T.-W. Pan, Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity, J. Comput. Phys. 216 (2006), pp. 79-91.
T.-W. Pan, J. Hao, Numerical Simulation of a lid-driven cavity viscoelastic flow at high Weissenberg numbers, C. R. Acad. Sci. Paris, Serie I 344 (2007), pp. 283-286.
T.-W. Pan, R. Glowinski, Suchung Hou, Direct numerical simulation of pattern formation in a rotating suspension of non-Brownian settling particles in a fully filled cylinder, Computers & Structures, 85 (2007), pp. 955-969.
T.-W. Pan C.-C. Chang, R. Glowinski, On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow, Comp. Meth. Appl. Mech. Eng., 197 (2008), pp. 2198-2209.
R. Glowinski, E. Dean, G. Guidoboni, L.H. Juarez V., T.-W. Pan, Operator-splitting methods for the numerical simulation of particulate and free-surface flows and for the numerical solution of elliptic Monge-Ampere equation, Japan J. Indust. Appl. Math., 25 (2008), pp. 1-63.

Date of last change: May, 2008