Porous Media Flow
In this project we work on algorithmic issues
(linear and nonlinear equations,
temporal integration, preconditioner design, parallelism)
in
simulation of subsurface flow and transport
and on
optimization problems that arise in design of algorithms.
This project is or has been supported by
The research group at NCSU is

Tim Kelley
(tim_kelley@ncsu.edu)
 PhD Students
 Corey Winton (corey.winton@gmail.com)
 Alumni
 Mike Tocci (mtocci@mathworks.com)
 Owen Eslinger (Owen.J.Eslinger@erdc.usace.army.mil)
 Lea Jenkins (lea@clemson.edu)
 Chris Kees (Christopher.E.Kees@erdc.usace.army.mil)
 Todd Coffey (tscoffe@sandia.gov)
 Alton Patrick (hapatrick@gmail.com)
 Katie Fowler (nee Kavanagh) (kfowler@clarkson.edu)
 Jill Reese (jreese@scs.fsu.edu)
We are working with
Cass T. Miller
and his group in the
Department of Environmental Sciences and Engineering
at the
University of North Carolina ,
a large group in the
Costal and Hydraulics Laboratory
at the
US Army
Engineer Research and Development Center
in
Vicksburg Mississippi ,
Jill Reese at Florida State,
and Katie Fowler at Clarkson.
Publications

Simulating NonDarcy Flow through Porous Media using Sundance
J. P. Reese, Kevin Long, C. T. Kelley, C. T. Miller, and W. G. Gray,
Proceedings of Computational Methods in Water Resources XVI,
Paper number 256, 8 pages, 2006

Nonlinear multilevel iterative methods for multiscale models
of air/water flow in porous media
J. P. Reese, Kevin Long, C. T. Kelley, C. T. Miller, and W. G. Gray,
Proceedings of Computational Methods in Water Resources XVI,
Paper number 148, 8 pages, 2006

K. R. Kavanagh and C. T. Kelley,
Pseudotransient Continuation for Nonsmooth Nonlinear Equations,
SIAM J. Numer. Anal., (43) 2005, 13851406.

K. R. Kavanagh, C. T. Kelley, C. T. Miller,
C. E. Kees, Robert W. Darwin, J. P. Reese, M. W. Farthing, and
Mark S. C. Reed,
Solution of a WellField Design Problem with Implicit Filtering
Optimization and Engineering, (5), 2004, 207234.

C. E. Kees, C. T. Miller, E. W. Jenkins, and C. T. Kelley,
Versatile Multilevel Schwarz Preconditioners for Multiphase Flow
Comp. Geo, 7, 2003, 91114.

T. S. Coffey, R. J. McMullan, C. T. Kelley, and D. S. McRae,
Globally Convergent Algorithms for Nonsmooth Nonlinear Equations
in Computational Fluid Dynamics
J. Comp. Appl. Math., 152, 2003, 6981.

J. F. Kanney, C. T. Miller, and C. T. Kelley,
Convergence of Iterative Split Operator Approaches for
Approximating Nonlinear Reactive Transport Problems
Advances in Water Resources, 26, 2003, 247261.

A. Battermann, J. M. Gablonsky, A. Patrick,
C. T. Kelley, T. Coffey, K. Kavanagh, and C. T. Miller,
Solution of A Groundwater Control Problem with Implicit Filtering,
Optimization and Engineering, (3), 2002, 189199.

K. R. Kavanagh, C. T. Kelley, R. C. Berger, J. P. Hallberg, and
Stacy E. Howington,
Nonsmooth Nonlinearities and Temporal Integration of Richards' Equation
,
Proceedings of the XIV International Conference on Computational Methods in
Water Resources,
S. Majid Hassanizadeh, Ruud J. Schotting, W. G. Gray, and G. F. Pinder,
editors, 2002,
pp 947954.

C. T. Miller and M. W. Farthing and C. E. Kees and C. T. Kelley,
Higher Order, Locally Conservative,
Temporal Integration Methods for Multiphase Flow in Porous Media,
Proceedings of the XIV International Conference on Computational Methods in
Water Resources,
S. Majid Hassanizadeh, Ruud J. Schotting, W. G. Gray, and G. F. Pinder,
editors, 2002,
pp 249256.

E. W. Jenkins, C. T. Kelley, C. T. Miller, and C. E. Kees,
An Aggregationbased
Domain Decomposition Preconditioner for Groundwater Flow
SIAM J. Sci. Comp., (23), 2001, 430441.

G. A. Williams, C. T. Miller, and C. T. Kelley,
Transformation Approaches for Simulating Flow in Variably
Saturated Porous Media,
Water Resources Research, (36), 2000, 923934.

E. W. Jenkins, R. C. Berger, J. P. Hallberg,
S. E. Howington, C. T. Kelley,
J. H. Schmidt, A. K. Stagg, and M. D. Tocci,
A TwoLevel
AggregationBased NewtonKrylovSchwarz Method for Hydrology
in
Parallel Computational Fluid Dynamics 1999,
D. E. Keyes, A. Ecer, J. Periaux, and
N. Satofuka, eds., North Holland, 2000, pp. 257264.

S. E. Howington, R. C. Berger, J. P. Hallberg,
J. F. Peters, A. K. Stagg, E. W. Jenkins, and C. T. Kelley,
A Model to Simulate the Interaction between Groundwater and
Surface Water
,
Proceedings of the High Performance Computing Users' Group Meeting,
Monterrey, CA, June 710, 1999.

M. D. Tocci, C. T. Kelley, C. T. Miller, and C. E. Kees,
Inexact Newton methods and the method of lines for solving
Richards' equation in two space dimensions,
Computational Geosciences, (2), 1998, 291310.

C. T. Miller, G. A. Williams, C. T. Kelley and M. D. Tocci,
Robust Solution of Richards' Equation for NonUniform Porous Media,
Water Resources Research, (34) 1998, 25992610.

C. T. Kelley, M. D. Tocci, and C. T. Miller,
Termination of Newton/Chord Iterations and the Method of Lines,
SIAM J. Sci. Comp., (19), 1998, 280290.

C. T. Miller, G. A. Williams, and C. T. Kelley,
Efficient and Robust Numerical Modeling of Variably Saturated
flow in Layered Porous Media
,
XII Conference on Computational Methods in Water Resources,
Crete, Greece, vol 1,
V.N Burganos, G.P. Karatzas, A.C. Payatakes,
C.A. Brebbia, W.G. Gray, and G.F. Pinder, editors. 1998,
pp 151158.

M. D. Tocci, C. T. Kelley, and C. T. Miller,
Accurate and Economical
Solution of the Pressure Head Form of Richards' Equation
by the Method of Lines
, Advances in Water Resources, (20), 1997, 114.
 P. Gilmore, C. T. Kelley, C. T. Miller, and G. A. Williams,
Implicit filtering and optimal design problems,
Proceedings of the workshop on optimal
design and control, Blacksburg VA, April 89, 1994, in Optimal Design
and Control, J. Borggaard, J. Burkhardt, M. Gunzburger, and J. Peterson,
eds., volume 19 of Progress in Systems and Control Theory,
Birkhauser, Boston, 1995, pp. 159176.
 C. T. Miller and C. T. Kelley,
A comparison of strongly convergent solution schemes
for sharp front infiltration problems ,
in Computational Methods in Water Resources X, Vol. 1, A. Peters, G. Wittum,
B. Herrling, U. Meissner, C. Brebbia, W. Gray, and G. Pinder, eds.,
Kluwer Academic Publishers, 1994, pp. 325332.
Last modified: July 23, 1999