Selected Publications:

1. T.-W. Pan, J. Hao, R. Glowinski
   On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid
   International Journal for Numerical Methods in Fluids (to appear).
   

2. T. Wang, T.-W. Pan, R. Glowinski
   A comparison of L2-projection and H1-projection methods for the numerical
   simulation of incompressible viscous fluid flow: A case study
   Chinese Journal of Engineering Mathematics (to appear).
   

3. J. Hao, T.-W. Pan, R. Glowinski, D.D. Joseph
   A fictitious domain/distributed Lagrange multiplier method for the particulate
   flow of Oldroyd-B fluids: A positive definiteness preserving approach
   Journal of Non-Newtonian Fluid Mechanics (to appear).
   

4. T.-W. Pan, C.-C. Chang, R. Glowinski
   On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow
   Computer Methods in Applied Mechanics and Engineering 197 (2008), 2198-2209.
   

5. 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 Journal of Industrial and Applied Mathematics 25 (2008), 1-63.
   

6. 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), 283-286.
   

7. J. Hao, T.-W. Pan
   Simulation for high Weissenberg number: Viscoelastic flow by a finite element method
   Applied Mathematics Letters 20 (2007), 988-993.
   

8. 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), 955-969.
   

9. R. Glowinski, T.-W. Pan, J. Periaux
   Numerical simulation of a multi-store separation phenomenon: A fictitious domain approach
   Computer Methods in Applied Mechanics and Engineering 195 (2006), 5566-5581.
   

10. R. Glowinski, G. Guidoboni, T.-W. Pan
    Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
    Journal of Computational Physics 216 (2006), 79-91.
    

11. T.-W. Pan, R. Glowinski, D.D. Joseph
    Simulating the dynamics of fluid-cylinder interactions
    Journal of Zhejiang University Science 6A (2005), 97-109.
    

12. T.-W. Pan, R. Glowinski, D.D. Joseph
    Simulating the dynamics of fluid-ellipsoid interactions
    Computers and Structures 83 (2005), 463-478.
    

13. B.H. Yang, Journal Wang, D.D. Joseph, H.H. Hu, T.-W. Pan, R. Glowinski
    Numerical study of particle migration in tube and plane Poiseuille flows
    Journal of Fluid Mechanics 540 (2005), 109-131.
    

14. 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), 884-895.
    

15. L.H. Juarez, R. Glowinski, T.-W. Pan
    Numerical simulation of fluid flow with moving and free boundaries
    Boletin de la Sociedad Espanola de Matematica Aplicada 30 (2004), 49-102.
    

16. N. R. Amundson, T.-W. Pan, V. I. Paulsen
    Diffusion with Stefan and Maxwell
    AIChE Journal 49 (2003), 813-830.
    

17. R. Glowinski, Y.A. Kuznetsov, 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), 435-440.
    

18. B. Dacorogna, R. Glowinski, 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), 511-518.
    

19. T.-W. Pan, D.D. Joseph, R. Bai, R. Glowinski, V. Sarin
    Fluidization of 1204 spheres: simulation and experiments
    Journal of Fluid Mechanics 451 (2002), 169-191.
    

20. 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
    Journal of Scientific Computing 17 (2002), 683-694.
    

21. T.-W. Pan, R. Glowinski
    Direct simulation of the motion of neutrally buoyant circular cylinders in plane Poiseuille flow
    Journal of Computational Physics 181 (2002), 260-279.
    

22. T.-W. Pan, R. Glowinski, G.P. Galdi
    Direct simulation of the motion of a settling ellipsoid in Newtonian fluid
    Journal of Computational and Applied Mathematics 149 (2002), 71-82.
    

23. 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
    Journal of Fluid Mechanics 434 (2001), 23-37.
    

24. R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph, J. Periaux
    A fictitious domain approach to the direct numerical simulation of
    incompressible viscous flow past moving rigid bodies: Application to particulate flow
    Journal of Computational Physics 169 (2001), 363-427.
    

25. 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), 435-438.
    

26. R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph, J. Periaux
    A distributed Lagrange multiplier/fictitious domain method for
    the simulation of flows around moving rigid bodies: Application to particulate flow
    Computer Methods in Applied Mechanics and Engineering 184 (2000), 241-268.
    

27. T.-W. Pan
    Existence and multiplicity of radial solutions describing
    the equilibrium of nematic liquid crystals on annular domains
    Journal of Mathematical Analysis and Applications 245 (2000), 266-281.
    

28. T.-W. Pan, 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), 28-42.
    

29. T.-W. Pan, V. Sarin, R. Glowinski, J. Periaux, A. Sameh
    Parallel solution of multibody store separation by a fictitious domain method
    in Parallel CFD '99, D. Keyes ed., North-Holland, Amsterdam, 2000, 329-336.
    

30. R. Glowinski, T.-W. Pan, T. I. Hesla, D.D. Joseph
    A distributed Lagrange multiplier/fictitious domain method for particulate flows
    International Journal of Multiphase Flow 25 (1999), 755-794.
    

31. R. Glowinski, T.-W. Pan, T. I. Hesla, D. D. Joseph, J. Periaux
    A distributed Lagrange multiplier/fictitious domain method for flows
    around moving rigid bodies: Application to particulate flow
    International Journal for Numerical Methods in Fluids 30 (1999), 1043-1066.
    

32. 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), 1035-1038.
    

33. R. Glowinski, T.-W. Pan, J. Periaux
    Distributed Lagrange multiplier methods for incompressible viscous flow
    around moving rigid bodies
    Computer Methods in Applied Mechanics and Engineering 151 (1998), 181-194.
    

34. T.-W. Pan
    Error estimates for a fictitious domain method with Lagrange multiplier treatment
    on the boundary for a Dirichlet problem
    Japan Journal of Industrial and Applied Mathematics 15 (1998), 75-85.
    

35. 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), 361-369.
    

36. T.-W. Pan
    On the existence of infinitely many limit points on the solution branch
    of planar shear flow of nematic liquid crystals
    Journal of Mathematical Analysis and Applications 208 (1997), 120-140.
    

37. R. Glowinski, T.-W. Pan, R. O. Wells, X. Zhou
    Wavelet and finite element solutions for the Neumann problem using fictitious domains
    Journal of Computational Physics 126 (1996), 40-51.
    

38. R. Glowinski, T.-W. Pan, J. Periaux
    A Lagrange multiplier/fictitious domain method for the Dirichlet problem.
    Generalization to some flow problems
    Japan Journal of Industrial and Applied Mathematics 12 (1995), 87-108.
    

39. 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
    Journal of Fluid Mechanics 283 (1995), 1-16.
    

40. R. Glowinski, A. J. Kearsley, T.-W. Pan, J. Periaux
    Numerical simulation and optimal shape for viscous flow by fictitious domain method
    International Journal for Numerical Methods in Fluids 20 (1995), 695-711.
    

41. G. Liao, T.-W. Pan, J. Su
    Numerical grid generator based on Moser's deformation method
    Numerical Methods for Partial Differential Equations 10 (1994), 21-31.
    

42. R. Glowinski, T.-W. Pan, J. Periaux
    A fictitious domain method for Dirichlet problem and applications
    Computer Methods in Applied Mechanics and Engineering 111 (1994), 283-303.
    

43. R. Glowinski, T.-W. Pan, J. Periaux
    A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
    Computer Methods in Applied Mechanics and Engineering 112 (1994), 133-148.
    

44. R. Glowinski, T.-W. Pan
    Error estimates for fictitious domain/penalty/finite element methods
    CALCOLO 29 (1992), 125-141.
    

45. M. Luskin, T.-W. Pan
    Nonplanar shear flows for nonaligning nematic liquid crystals
    Journal of Non-Newtonian Fluid Mechanics 42 (1992), 369-384.