University of Houston Research Site
for
Direct Simulation of the Motion of Particles in Flowing Liquids
A Project Partially Supported by NSF Grants
The project, Direct Simulation of the Motion of Particles in Flowing Liquids,
is to address the modelling and the numerical simulation
of the motion of many particles in flowing Newtonian and
NonNewtonian liquids.
These flows play very important role in Industry, including Chemical
and Petroleum Engineering, such as fluidized beds, sedimentation,
slurry transport, hydraulic fracturing, etc..
At UH, we mainly focused on applying Fictitious Domain
Methodologies to simulate 2D and 3D particulate flows in Newtonian and
viscoelastic fluids. Experimental validations have been done mostly by Professor
D.D. Joseph's group at the University of Minnesota and also will be done by
Professor H.L. Swinney's group at the University of Texas at Austin.
UH Site Leader
UH Site Members
 Current members:
 Former Members:
Others Research Sites
Industrial Sponsors
 SchlumbergerCambridge
 DowellSchlumberger (Tulsa)
 Shell Research, Houston
 Intevep S.A., Venezuela
Most Recent 3D Results:

Video animation of
a settling ellipsoid in a narrow vertical channel with
rectangular cross section obtained by a distributed Lagrange multiplier/fictitious
domain method with finite element method and operator splitiitng method.

Video animation of
interaction of two ellipsoid sedimenting sidebyside in a
narrow vertical channel with rectangular cross section obtained by a distributed
Lagrange multiplier/fictitious domain method with finite element method and
operator splitiitng method.
Selected Video Animations
(1) Twodimensional dynamical simulation
by arbitrary LagrangianEulerian Methodologies with Method
of Characteristics. It shows two particles falling under
gravity in Newtonian fluids with periodic boundary condition
in vertical direction. In Newtonian fluids, particles draft,
kiss, and tumble. In this video animation we have captureded
those properties.
(2) Simulation of sedimentation of hundreds of
particles in a closed twodimensional box obtained by a
distributed Lagrange multiplier/fictitious domain method
with finite element method and operator splitiitng method.
Test Cases:
 Twodimensional test cases:
 Threedimensional Results:
List of Publications
 R. Glowinski, T.W. Pan, J. Periaux,
Fictitious domain methods for the simulation of Stokes flow past a moving disk
, in Computational Fluid Dynamics '96, J.A. Desideri, C. Hirsh,
P. Le Tallec, M. Pandolfi, J. Periaux eds., John Wiley & Sons, Chichester, England, 6470.
 R. Glowinski, T.W. Pan, J. Periaux,
Fictitious Domain Methods for Incompressible Viscous Flow around Moving Rigid Bodies
(due to the memory size, the postscript file has been divided into three parts
part I,
part II,
part III),
in The Mathematics of Finite Elements and Applications, Highlight 1996, J.R. Whiteman ed., John Wiley & Sons, Chichester, England, pp. 155174.
 R. Glowinski, T. Hesla, D.D. Joseph, T.W. Pan, J. Periaux (1997)
Distributed Lagrange multiplier methods for particulate flows
in Computational Science for the 21st Century, M.O. Bristeau,
G. Etgen, W. Fitzgibbon, J.L. Lions, J. Periaux, M.F. Wheeler eds.
John Wiley & Sons, Chichester, England, pp. 270279.
 B.A. Maury, R. Glowinski (1997) Fluidparticle flow: a symmetric formulation, C. R. Acad. Sci. Paris, t. 324, Serie 1, 10791084
 B.A. Maury (1997) A manybody lubrication model, C. R. Acad. Sci. Paris,
t. 325, Serie 1, pp. 10531058
 R. Glowinski, T.W. Pan, J. Periaux (1998)
Distributed Lagrange multiplier methods for incompressible
viscous flow around moving rigid bodies, Comp. Meth. Appl. Mech. Eng.,
Vol. 151, pp. 181194.
 R. Glowinski, T.W. Pan, T.I. Hesla, D.D. Joseph, J. Periaux (1998)
A fictitious domain method with distributed Lagrange multipliers for
numerical simulation of particulate flows, in Domain Decomposition Methods 10,
J. Mandel, C. Farhat, and X.C. Cai eds., AMS, Providence, RI,
pp. 121137.
 T.W. Pan, R. Glowinski, T.I. Hesla, D.D. Joseph, J. Periaux (1998)
Numerical simulation of the RayleighTaylor instability for particulate flows,
in the Proceedings of the 10th International Conference on
Finite Elements in Fluids, M. Hafez, J.C. Heinrich eds., January 58,
1998, Tucson, pp. 217222.
 R. Glowinski, T.W. Pan, T. I. Hesla, and D.D. Joseph (1999)
A distributed Lagrange multiplier/fictitious domain method for particulate
flows, Int. J. Multiphase Flow, 25, pp. 755794.
 T.W. Pan, V. Sarin, R. Glowinski, A. Sameh, J. Periaux (1999)
A fictitious domain method with distributed Lagrange
multipliers for the numerical simulation of particular flow
and its parallel implementation, in Parallel Compuational Fluid
Dynamics, Development and Applications of Parallel Technology,
C.A. Lin, A.Ecer, N. Satofuka, P. Fox, and J. Periaux eds.,
NorthHolland, Amsterdam, 1999, pp. 467474.
 B. Maury (1999)
Direct simulation of 2D fluidparticle flows in biperiodic
domains, J. of Comp. Physics, 156, pp. 325351.
 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, Comp. Meth. Appl. Mech. Eng. , 184 (2000),
pp. 241268.
 R. Glowinski, T.W. Pan, T. I. Hesla, D. D. Joseph, J. Periaux (1999)
A distributed Lagrange multiplier/fictitious domain method for flows
around moving rigid bodies: Application to particulate flow,
Int. J. Numer. Methods Fluids, 30, pp. 10431066.
 T.W. Pan,
Numerical simulation of the motion of
a ball falling in an incompressible viscous fluid ,
C. R. Acad. Sci. Paris, S\'erie IIb, 327(1999), pp. 10351038.
 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., NorthHolland,
Amsterdam, 2000, pp. 329336.
 T.W. Pan, D.D. Joseph, R. Glowinski.
Modeling RayleighTaylor instability of a sedementing suspension of several
thousand circular particles in direct numerical simulation, J Fluid
Mech., 434 (2001), pp. 2337.
 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. 363427.
 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. 435438.
 T.W. Pan, D.D. Joseph, R. Bai, R. Glowinski, V. Sarin,
Fluidization of 1204 spheres: simulation and experiments, J. Fluid
Mech. (to appear).
Date of last change: October, 2001