
TsorngWhay Pan's Research
Office:683 PGH
Phone: (713) 7433448 ; Fax: (713) 7433505
Email: pan@math.uh.edu

Research Interests:
 Fictitious domain methods and its applications on particulate flow (the support of
the NSF grants ECCS9527123, CBET9873236, DMS9973318, DMS0209066, DMS0443826 and DMS1418308 is acknowledged.).
 Developping distributed Lagrange multiplier/fictitious domain
(DLM/FD) methods for simulating particulate flow in Newtonian
and nonNewtonian fluids, including suspensions, sedimentation, liquidsolid
fluidized bed, slurry transportation, and etc..
 Study properties of particulate flow via direct numerical simulations by
distributed Lagrange multiplier/fictitious domain methods.
 Immersed boundary methods and its applications on blood flow (the support of the NSF grants DMS0443826 and DMS0914788 is acknowledged.):
 Developping immersed boundary methods for
simulating the red blood cell motion in blood flow.
 Computational fluid dynamics: Incompressible viscous flows and Viscoelastic fluid flows.
 Scientific computing, Numerical analysis.
Research on Particulate Flow and animinations:
 Sedimentation: balls, ellipsoids, truncated cylinders settling in an incompressible viscous Newtonian
and nonNewtonian fluids.
 Suspensions and slurry transportation in nonNewtonian fluids.
 Pattern formation of nonBrownian settling balls in a rotating fluidfilled horizontal cylinder.
 Migration and orientation of a neutrally buoyant particle in 3D Poiseuille flows.
 Fluidization: 1204 ball fluidized bed, fluidization of 60 truncated cylinders.
Research on the motion of the red blood cells in microchannels and animinations:
 Blood cells move in a microchannel with/without a constriction.
 Many blood cells migrate in a Poiseuille's flow.
Research Funding
 NSF DMS1418308: Computational Mathematics (PI is T.W. Pan, COPI is
R. Glowinski).
Grant title: Positive definiteness preserving approaches for viscoelastic flow of OldroydB and FENECR types:
Applications to particulate flow.
Grant amount and duration: $234,212, 08/01/2014  07/30/2018 (including one year nocost extension period).
 NSF DMS0914788: Computational Mathematics (the PI is T.W. Pan, COPIs 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 nocost extension period).
 NSF DMS0443826: NIGMS (the PI was S. Canic, and COPIs 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 nocost extension period).
 NSF DMS0707602: Applied Mathematics (the PI was R. Hoppe, COPIs
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.
 NSF DMS0209066: Computational Mathematics (the PI was R. Glowinski,
and COPIs 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.
 NSF DMS9973318: Computational Mathematics (the PI was R. Glowinski, and
COPIs were T.W. Pan, E. Dean and P.M. Pettitt).
Grant title: Computational Methods for the Direct Simulation of Particulate Flow of
Newtonian and NonNewtonian Incompressible Viscous Fluids.
Grant amount and duration: $171,000, 08/01/1999  07/31/2003.
We gratefully acknowledge the support of the NSF.