References

  • Lars Davidson. An introduction to turbulence models. Technical Report 97/2, Chalmers University of Technology, Department of thermo and fluid dynamics, November 2003.
  • J. Fredsoe and R. Deigaard. Mechanics of coastal sediment transport, volume 3 of Adv. Series on Ocean Eng. World Sci., 1992.
  • Edward S. Gross, Jeffrey R. Koseff, and Stephen G. Monismith. Evaluation of advective schemes for estuarine salinity simulations. Journal of Hydraulic Engineering, 125(1):32--46, 1999. doi:10.1061/(ASCE)0733-9429(1999)125:1(32).
  • Edward S. Gross, Jeffrey R. Koseff, and Stephen G. Monismith. Three dimensional salinity simulations of south San Francisco Bay. Journal of Hydraulic Engineering, 125(11):1199--1209, 1999. doi:10.1061/(ASCE)0733-9429(1999)125:11(1199).
  • Andrew J. Hogg and David Pritchard. The effects of hydraulic resistance on dam-break and other shallow inertial flows. J. Fluid Mech., 501:179--212, 2004. doi:10.1017/S0022112003007468.
  • J. C. R. Hunt. Inland and coastal flooding: developments in prediction and prevention. Phil. Trans. R. Soc. A, 363:1475--1491, 2005. doi:10.1098/rsta.2005.1580.
  • Y. A. Kuznetsov. Elements of applied bifurcation theory, volume 112 of Applied Mathematical Sciences. Springer--Verlag, 1995.
  • G. N. Mercer and A. J. Roberts. A complete model of shear dispersion in pipes. Jap. J. Indust. Appl. Math., 11:499--521, 1994.
  • Iehisa Nezu. Open-channel flow turbulence and its research prospect in the 21st century. J. Hydraulic Engineering, page 229, April 2005. doi:10.1061/(ASCE)0733-9429(2005)131:4(229).
  • A. J. Roberts. The application of centre manifold theory to the evolution of systems which vary slowly in space. J. Austral. Math. Soc. B, 29:480--500, 1988.
  • Paolo Blondeaux. Mechanics of coastal forms. Annu. Rev. Fluid Mech., 33:339--370, 2001. doi:10.1146/annurev.fluid.33.1.339.
  • A. J. Roberts. Low-dimensional models of thin film fluid dynamics. Phys. Letts. A, 212:63--72, 1996. doi:10.1016/0375-9601(96)00040-0.
  • A. J. Roberts. Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics. In Rowena Ball and Nail Akhmediev, editors, Nonlinear dynamics from lasers to butterflies, volume 1 of Lecture Notes in Complex Systems, chapter 7, pages 257--313. World Scientific, 2003.
  • A. J. Roberts. Shear dispersion along circular pipes is affected by bends, but the torsion of the pipe is negligible. SIAM J. Applied Dynamical Systems, 3:433--462, 2004. http://epubs.siam.org/sam-bin/dbq/article/60088.
  • David C. Wilcox. Turbulence modeling for CFD. DCW Industries Inc, La Canada, California, second edition, 1998.
  • A. F. Blumberg, B. Galperin, and D. J. O'Conner. Modeling vertical structure of open-channel flows. J. Hydraulic Engineering, 118(8):1119--1134, 1992. http://cedb.asce.org/cgi/WWWdisplay.cgi?9203798.
  • A. F. Blumberg and G. L. Mellor. A description of a three-dimensional coastal ocean circulatiom model. In N. S. Heaps, editor, Three-dimensional coastal ocean models, volume 118. American Geophysics Union, Washington, D.C., 1987.
  • J. Carr. Applications of centre manifold theory, volume 35 of Applied Math. Sci. Springer--Verlag, 1981.




Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.