Tim Kelley's Project on Porous Media Flow

• the Army Research Office ,
• the US Army Engineer Research and Development Center,
  
• the National Science Foundation, (Check out our ITR project ).
• the US Dept of Education GAANN fellowship program, and
• the Cray Fellowship program

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 Non-Darcy 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,
  Pseudo-transient Continuation for Nonsmooth Nonlinear Equations,
  SIAM J. Numer. Anal., (43) 2005, 1385-1406.

• 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 Well-Field Design Problem with Implicit Filtering
  Optimization and Engineering, (5), 2004, 207-234.

• C. E. Kees, C. T. Miller, E. W. Jenkins, and C. T. Kelley, Versatile Multilevel Schwarz Preconditioners for Multiphase Flow
  Comp. Geo, 7, 2003, 91-114.

• 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, 69-81.

• 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, 247-261.

• 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, 189-199.

• 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 947-954.

• 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 249-256.

• E. W. Jenkins, C. T. Kelley, C. T. Miller, and C. E. Kees,
  An Aggregation-based Domain Decomposition Preconditioner for Groundwater Flow
  SIAM J. Sci. Comp., (23), 2001, 430-441.

• 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, 923-934.

• 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 Two-Level Aggregation-Based Newton-Krylov-Schwarz Method for Hydrology in Parallel Computational Fluid Dynamics 1999, D. E. Keyes, A. Ecer, J. Periaux, and N. Satofuka, eds., North Holland, 2000, pp. 257--264.

• 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 7-10, 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, 291-310.
• C. T. Miller, G. A. Williams, C. T. Kelley and M. D. Tocci, Robust Solution of Richards' Equation for Non-Uniform Porous Media, Water Resources Research, (34) 1998, 2599-2610.
• 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, 280-290.
• 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 151--158.
• 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, 1-14.
• 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 8--9, 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. 159--176.
• 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. 325--332.