University of Houston

Department of Mathematics

Tsorng-Whay Pan's Selected Publications:

  1. R. Glowinski and T.-W. Pan
    Two decades of wave-like equation for numerical simulating of incompressible viscous flow: a review
    In "Contributions to Partial Differential Equations and Applications" (Chetverushkin et al. eds.), Computational Methods in Applied Sciences, vol 47, pp. 221-250, Springer, Cham, 2019.

  2. T.-W. Pan and R. Glowinski
    Numerical study of spheres settling in Oldroyd-B fluids
    Physics of Fluids 30 (2018), 113102.

  3. Liang-Hsia Tsai, Chien-Cheng Chang, T.-W. Pan, and R. Glowinski
    Numerical study of the wall effect on particle sedimentation
    International Journal of Computational Fluid Dynamics 32 (2018), 158-166.

  4. Shang-Huan Chiu, T.-W. Pan, and R. Glowinski
    A 3D DLM/FD method for simulating the motion of spheres in a bounded shear flow of Oldroyd-B fluids
    Computers & Fluids 172 (2018), 661-673; arXiv:1707.01957.

  5. Shihai Zhao, Yao Yu, T.-W. Pan, and R. Glowinski
    A DLM/FD/IB method for simulating compound cell Interacting with red blood cells in a microchannel
    Chinese Annals of Mathematics, Series B 39 (2018), 535-552.

  6. T.-W. Pan, Aixia Guo, Shang-Huan Chiu, and R. Glowinski
    A 3D DLM/FD method for simulating the motion of spheres and ellipsoids under creeping flow conditions
    J. Comput. Phys. 352 (2018), 410-425.

  7. T.-W. Pan and R. Glowinski
    Numerical study of two disks settling in an Oldroyd-B fluid: From periodic interaction to chaining
    Physical Review E 96 (2017), 063103; arXiv:1607.06009.

  8. Aixia Guo, T.-W. Pan, Jiwen He, and R. Glowinski
    Numerical methods for simulating the motion of porous balls in simple 3D shear flows under creeping conditions
    Computational Methods in Applied Mathematics 17 (2017), 397-412.

  9. T.-W. Pan and R. Glowinski
    Dynamics of particle sedimentation in viscoelastic fluids: A numerical study on particle chain in two-dimensional narrow channel
    Journal of Non-Newtonian Fluid Mechanics 244 (2017), 44-56.

  10. Lingling Shi, Suncica Canic, Annalisa Quaini, and T.-W. Pan
    A study of self-propelled elastic cylindrical micro-swimmers using modeling and computation
    J. Comput. Phys. 314 (2016), 264–286.

  11. Xiting Niu, Lingling Shi, T.-W. Pan, and R. Glowinski
    Numerical simulation of the motion of inextensible capsules in shear flow under the effect of the nature state
    Communications in Computational Physics 18 (2015), 787-807.

  12. Shih-Lin Huang, Shih-Di Chen, T.-W. Pan, Chien-Cheng Chang, and Chin-Chou Chu
    The motion of a neutrally buoyant particle of an elliptic shape in two dimensional shear flow: a numerical study
    Physics of Fluids 27 (2015), 083303.

  13. T.-W. Pan, Shihai Zhao, Xiting Niu, and R. Glowinski
    A DLM/FD/IB method for simulating compound vesicle motion under creeping flow condition
    J. Comput. Phys. 300 (2015), 241-253.

  14. Xiting Niu, T.-W. Pan, and R. Glowinski
    The dynamics of inextensible capsules in shear flow under the effect of the natural state
    Biomechanics and Modeling in Mechanobiology 14 (2015), 865-876.

  15. Alexandre Caboussat, R. Glowinski, T.-W. Pan
    On the numerical solution of some eikonal equations: an elliptic solver approach
    Chin. Ann. Math. 36B (2015), 689–702.

  16. Che-Ming Shih, Chun-Fei Kung, Chien-Cheng Chang and T.-W. Pan
    Self-organized capacity for energy extraction by clustering particles in two-species suspension flow at small Reynolds numbers
    Applied Physics Letters 106 (2015), 024102.

  17. Shihai Zhao, T.-W. Pan
    Numerical simulation of red blood cell suspensions behind a moving interface in a capillary
    Numerical Mathematics: Theory, Methods and Applications 7 (2014), 499-511.

  18. Lingling Shi, T.-W. Pan, R. Glowinski
    Three-dimensional numerical simulation of red blood cell motion in Poiseuille flows
    Int. J. Numer. Methods Fluids 76 (2014), 397-415.

  19. Lingling Shi, Yao Yu, T.-W. Pan, R. Glowinski
    Oscillating motions of neutrally buoyant particle and red blood cell in Poiseuille flow in a narrow channel
    Physics of Fluids 26 (2014), 041904.

  20. Suchung Hou, T.-W. Pan, R. Glowinski
    Circular band formation for incompressible viscous fluid-rigid particle mixtures in a rotating cylinder
    Physical Review E 89 (2014), 023013.

  21. T.-W. Pan, Shih-Lin Huang, Shih-Di Chen, Chin-Chou Chu, Chien-Cheng Chang
    A numerical study of the motion of a neutrally buoyant cylinder in two dimensional shear flow
    Computers & Fluids 87 (2013), 57-66.

  22. Lingling Shi, T.-W. Pan, R. Glowinski
    Lateral migration and equilibrium shape and position of a single red blood cell in bounded Poiseuille flows
    Physical Review E 86 (2012), 056308.

  23. Shih-Di Chen, T-W Pan, Chien-Cheng Chang
    The motion of a single and multiple neutrally buoyant elliptical cylinders in plane Poiseuille flow
    Physics of Fluids 24 (2012), 103302.

  24. Lingling Shi, T.-W. Pan, R. Glowinski
    Deformation of a single blood cell in bounded Poiseuille flows
    Physical Review E 85 (2012), 016307.

  25. Lingling Shi, T.-W. Pan, R. Glowinski
    Numerical simulation of lateral migration of red blood cells in Poiseuille flows
    Int. J. Numer. Methods Fluids 68 (2012), 1393-1408.

  26. T.-W. Pan, Lingling Shi, R. Glowinski
    A DLM/FD/IB method for simulating cell/cell and cell/particle interaction in microchannels
    Chinese Annals of Mathematics, Series B 31 (2010) 975-990.

  27. H. Antil, R. Glowinski, R. H.W. Hoppe, C. Linsenmann, T.-W. Pan, A. Wixforth
    Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips
    Journal of Computational Mathematics 28 (2010) 149-169.

  28. Tong Wang, T.-W. Pan, R. Glowinski
    A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure
    International Journal for Numerical Methods in Biomedical Engineering 26 (2010) 290-304.

  29. Tong Wang, T.- W. Pan, Z. Xing, R. Glowinski
    Numerical simulation of rheology of red blood cell rouleaux in microchannels
    Physical Review E 79 (2009), 041916

  30. T.-W. Pan, Tong Wang
    Dynamical simulation of red blood cell rheology in microvessels
    International Journal of Numerical Analysis and Modeling 6 (2009), 455-473.

  31. Jian Hao, T.-W. Pan, S. Canic, R. Glowinski, D. Rosenstrauch
    A fluid-cell interaction and adhesion algorithm for tissue-coating of cardiovascular implants
    SIAM Journal on Multiscale Modeling and Simulation 7 (2009), 1669-1694.

  32. Jian 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 156 (2009), 95-111.

  33. T.-W. Pan, Jian Hao, R. Glowinski
    On the simulation of a time-dependent cavity flow of an Oldroyd-B fluid
    International Journal for Numerical Methods in Fluids 60 (2009) 791-808.

  34. 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.

  35. 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.

  36. Tong 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 25 (2008), 761-778.

  37. 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.

  38. T.-W. Pan, Jian Hao
    Numerical Simulation of a lid-driven cavity viscoelastic flow at high Weissenberg numbers
    Comptes Rendus Mathematique , 344 (2007), 283-286.

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

  40. R. Glowinski, T.-W. Pan, L.H. Juarez, E. Dean
    Finite element methods for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. III.
    Bol. Soc. Esp. Mat. Apl. SeMA 38 (2007), 11–37.

  41. 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.

  42. 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.

  43. R. Glowinski, T.-W. Pan, L.H. Juarez, E. Dean
    Finite element methods for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. II.
    Bol. Soc. Esp. Mat. Apl. SeMA 37 (2006), 11–46.

  44. R. Glowinski, T.-W. Pan, L.H. Juarez, E. Dean
    Finite element methods for the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations. I.
    Bol. Soc. Esp. Mat. Apl. SeMA 36 (2006), 7–62.

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

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

  47. B.H. Yang, J. Wang, D.D. Joseph, H.H. Hu, T.-W. Pan, R. Glowinski
    Migration of a sphere in tube flow
    Journal of Fluid Mechanics 540 (2005), 109-131.

  48. 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.

  49. 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.

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

  51. R. Glowinski, Y.A. Kuznetsov, T.-W. Pan
    A penalty/Newton/conjugate gradient method for the solution for obstacle problems
    Comptes Rendus Mathematique, 336 (2003), 435-440.

  52. B. Dacorogna, R. Glowinski, T.-W. Pan
    Numerical methods for the solution of a system of Eikonal equations with Dirichlet boundary condition
    Comptes Rendus Mathematique, 336 (2003), 511-518.

  53. 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.

  54. 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.

  55. 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.

  56. 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.

  57. 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.

  58. 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.

  59. T.-W. Pan
    Numerical simulation of the motion of neutrally buoyant particles in the plane Poiseuille flow of a Newtonian fluid
    C. R. Acad. Sci. Paris, Serie IIb, 329 (2001), 435-438.

  60. N. A. Patankar, P. Singh, D. D. Joseph, R. Glowinski, T.-W. Pan
    A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows
    Int. J. Multiphase Flow 26 (2000), 1509-1524.

  61. P. Singh, D. D. Joseph, T. I. Hesla, R. Glowinski, T.-W. Pan
    A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows
    J. Non-Newtonian Fluid Mech. 91 (2000), 165-188.

  62. 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), 241-267.

  63. 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.

  64. 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.

  65. 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.

  66. 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.

  67. 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.

  68. 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.

  69. 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.

  70. 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.

  71. 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.

  72. 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.

  73. 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.

  74. 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.

  75. 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.

  76. 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.

  77. 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.

  78. 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.

  79. 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.

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

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