National Research Program

Mathematical Modeling Principles

The development of models of hydrologic systems requires the description of individual processes in mathematical terms and the solution of sets of complex equations in differential form. This project is focused on developing mathematical descriptions of flow and water-quality processes that can be linked together to form such models. Research is needed on application of mathematical theory to the modeling of transport of sediments, including mudflows and hyperconcentrations such as occur after natural disasters such as volcanic eruptions or dam failures. This project is focused on developing mathematial description of flow and water-quality processes that can be linked together to form models of hydrologic systems and developing mathematical techniques for efficient solution of equations on digital computer techniques for studying sensitivity of parameters. For current information about work being done by this project, including investigations into hydrologic and erosional responses of burned watersheds, see project's home page.


Yang, C.T., and Simões, F.J., 2004, Application of GSTARS to river sedimentation studies, , in Hu, C.-h, and Tan, Y., eds., Proceedings of the Ninth International Symposium on River Sedimentation, October 18-21, 2004, Yichang, China: Beijing, Tsinghua University Press, v. 1, p. 299-306.

Nelson, J.M., Bennett, J.P., and Wiele, S.M., 2003, Modeling flow, sediment transport, and bed evolution in channels, chapter 18, in Kondolph, M. and Piegay, H. Tools in Fluvial Geomorphology: Wiley, London.

Ruth, J.M., Petit, D.R., Sauer, J.R., Samuel, M.D. Johnson, F.A., Fornwall, M.D., Korschgen, C.E., and Bennett, J.P., 2003, Science for avian conservations - priorities for the new millennium: The Auk, v. 120, no. 1, p. 204-211. (on-line report)

Simões, F.J. and Yang, C.T., 2003, Numerical modeling of reservoir sedimentation using GSTARS 3.0: Proceedings of the XXXth IAHR (International Association for Hydraulic Research) Congress, Thessaloniki, Greece.

Yang, C.T., and Simoes, F.J., 2003, User's manual for GSTARS 3.0: U.S. Bureau of Reclamation, Technical Service Center, Denver, Colorado, December 2002.

Moody J.A., and Smith, J.D., 2002, Field measurements of Reynolds Stress near a riverbank: Proceedings EWRI and IAHR Hydraulic Measurement and Experimental Methods Conference, Estes Park, Colo., 29-31, July 2002 (CD).

Moody, J.A., and Troutman, B.M, 2002, Characterization of the spatial variability of channel morphology: Earth Surface Processes and Landforms, v. 27, no. 12, p. 1251-1266. (on-line abstract)

Yang, C.T., and Simoes, F.J., 2002, GSTARS 3.0: A numerical model for reservoir sedimentation: Proceedings from the 5th International Conference on Hydro-Science and Engineering (ICHE), Warsaw, Poland, Sep. 18-21, 2002.

For information on additional projects in the National Research Program, see Indexes to NRP projects and bibliographies

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