University of Houston

Department of Mathematics

Tsorng-Whay Pan

Tsorng-Whay Pan's Research

Office:683 PGH
Phone: (713) 743-3448 ; Fax: (713) 743-3505

Research Interests:

  1. Fictitious domain methods and its applications on particulate flow (the support of the NSF grants ECCS-9527123, CBET-9873236, DMS-9973318, DMS-0209066, DMS-0443826 and DMS-1418308 is acknowledged.).
    • Developping distributed Lagrange multiplier/fictitious domain (DLM/FD) methods for simulating particulate flow in Newtonian and non-Newtonian fluids, including suspensions, sedimentation, liquid-solid fluidized bed, slurry transportation, and etc..
    • Study properties of particulate flow via direct numerical simulations by distributed Lagrange multiplier/fictitious domain methods.
  2. Immersed boundary methods and its applications on blood flow (the support of the NSF grants DMS-0443826 and DMS-0914788 is acknowledged.):
    • Developping immersed boundary methods for simulating the red blood cell motion in blood flow.
  3. Computational fluid dynamics: Incompressible viscous flows and Viscoelastic fluid flows.
  4. Scientific computing, Numerical analysis.

Research on Particulate Flow and animinations:

  1. Sedimentation: balls, ellipsoids, truncated cylinders settling in an incompressible viscous Newtonian and non-Newtonian fluids.
  2. Suspensions and slurry transportation in non-Newtonian fluids.
  3. Pattern formation of non-Brownian settling balls in a rotating fluid-filled horizontal cylinder.
  4. Migration and orientation of a neutrally buoyant particle in 3D Poiseuille flows.
  5. Fluidization: 1204 ball fluidized bed, fluidization of 60 truncated cylinders.

Research on the motion of the red blood cells in microchannels and animinations:

  1. Blood cells move in a microchannel with/without a constriction.
  2. Many blood cells migrate in a Poiseuille's flow.

Research Funding

  1. NSF DMS-1418308: Computational Mathematics (PI is T.-W. Pan, CO-PI is R. Glowinski).
    Grant title: Positive definiteness preserving approaches for viscoelastic flow of Oldroyd-B and FENE-CR types: Applications to particulate flow.
    Grant amount and duration: $234,212, 08/01/2014 - 07/30/2018 (including one year no-cost extension period).
  2. NSF DMS-0914788: Computational Mathematics (the PI is T.-W. Pan, CO-PIs were R. Glowinski and R. Hoppe).
    Grant title: Computational methods for the suspensions of deformable and rigid particles and their applications to modelling of blood flows.
    Grant amount and duration: $340,454, 07/15/2009 - 07/31/2014 (including two year no-cost extension period).
  3. NSF DMS-0443826: NIGMS (the PI was S. Canic, and CO-PIs were R. Glowinski and T.-W. Pan).
    Grant title: Collaborative research: Modeling the growth and adhesion of auricular chondrocytes under controlled flow conditions.
    Grant amount and duration: $740,000, 05/15/2005 - 04/30/2010 (including two year no-cost extension period).
  4. NSF DMS-0707602: Applied Mathematics (the PI was R. Hoppe, CO-PIs are R. Glowinski and T.-W. Pan).
    Grant title: Modeling, Analysis and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips.
    Grant amount and duration: $209,384, 08/01/2007 - 07/31/2010.
  5. NSF DMS-0209066: Computational Mathematics (the PI was R. Glowinski, and CO-PIs were T.-W. Pan and E. Dean).
    Grant title: Numerical Simulation of Complex Incompressible Viscous Flow in Time Varying Geometries: Applications.
    Grant amount and duration: $368,802, 07/01/2002 - 06/30/2006.
  6. NSF DMS-9973318: Computational Mathematics (the PI was R. Glowinski, and CO-PIs were T.-W. Pan, E. Dean and P.M. Pettitt).
    Grant title: Computational Methods for the Direct Simulation of Particulate Flow of Newtonian and Non-Newtonian Incompressible Viscous Fluids. Grant amount and duration: $171,000, 08/01/1999 - 07/31/2003.
We gratefully acknowledge the support of the NSF.