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Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model Cover

Modelling free surface flow with curvilinear streamlines by a non-hydrostatic model

Journal of Hydrology and Hydromechanics
Volume 64 (2016): Issue 3 (September 2016)
By:   
Open Access
|Jul 2016
References

References

  1. Abramowitz, M., Stegun, I.A., 1972. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. 10th edition, Wiley, New York, NY.
    Search in Google Scholar
  2. Anh, T.N., Hosoda, T., 2007. Depth-averaged model of openchannel flows over an arbitrary 3-D surface and its applications to analysis of water surface profile. J. Hydr. Engrg., 133, 4, 350-360.
    Open DOISearch in Google Scholar
  3. Berger, R.C., Carey, G.F., 1998. Free-surface flow over curved surfaces-Part I: Perturbation analysis. Int. J. Numer. Meth. Fluids, 28, 2, 191-200.
    Open DOISearch in Google Scholar
  4. Blom, P., Booij, R., 1995. Turbulent free-surface flow over sills. J. Hydr. Res., 33, 5, 663-682.
    Open DOISearch in Google Scholar
  5. Castro-Orgaz, O., Hager, W.H., 2009. Curved-streamline transitional flow from mild to steep slopes. J. Hydr. Res., 47, 5, 574-584.
    Open DOISearch in Google Scholar
  6. Castro-Orgaz, O., Chanson, H., 2011. Near-critical free-surface flows: real fluid flow analysis. Environ. Fluid Mech., 11, 5, 499-516.
    Open DOISearch in Google Scholar
  7. Castro-Orgaz, O., 2013. Potential flow solution for open channel flows and weir crest overflows. J. Irrig. Drain. Engrg., 139, 7, 551-559.
    Open DOISearch in Google Scholar
  8. Castro-Orgaz, O., Hager, W.H., 2013. Velocity profile approximations for two-dimensional potential open channel flow. J. Hydr. Res., 51, 6, 645-655.
    Open DOISearch in Google Scholar
  9. Castro-Orgaz, O., Chanson, H., 2014. Depth-averaged specific energy in open-channel flow and analytical solution for critical irrotational flow over weirs. J. Irrig. Drain. Engrg., 140, 1, 10.1061/(ASCE)IR.1943-4774.0000666.
    Open DOISearch in Google Scholar
  10. Castro-Orgaz, O., Hager, W.H., 2014. One-dimensional modelling of curvilinear free surface flow: generalised Matthew theory. J. Hydr. Res., 52, 1, 14-23.
    Open DOISearch in Google Scholar
  11. Chaudhry, M.H., 2008. Open Channel Flow. 2nd edition, Springer Science and Business Media LLC, New York, NY.
    Search in Google Scholar
  12. Dewals, B.J., Erpicum, S., Archambeau, P., Detrembleur, S., Pirotton, M., 2006. Depth-integrated flow modelling taking into account bottom curvature, J. Hydr. Res., 44, 6, 787-795.
    Open DOISearch in Google Scholar
  13. Dressler, R.F., 1978. New nonlinear shallow flow equations with curvature. J. Hydr. Res., 16, 3, 205-220.
    Open DOISearch in Google Scholar
  14. Ehrenberger, R., 1929. Versuche über die verteilung der drücke an wehrrücken infolge des abstürzcnden wassers. [Experiments on the distribution of pressures along the face of weirs resulting from the impact of the falling water]. Die Wasserwirtschaft, Vienna, 22, 5, 65-72. (In German.)
    Search in Google Scholar
  15. Fenton, J.D., 1996. Channel flow over curved boundaries and a new hydraulic theory. In: Proc. 10th Congress, APD-IAHR, Langkawi, Malaysia, August 26-29, 2, 266-273.
    Search in Google Scholar
  16. Ferziger, J.H., Peric, M., 2002. Computational Methods for Fluid Dynamics. 3rd revised edition, Springer-Verlag Berlin Heidelberg, New York, NY.
    Search in Google Scholar
  17. Fuhrman, D.H., Bingham, H.B., Madsen, P.A., 2005. Nonlinear wave structure interactions with high order Boussinesq model. Coast. Engrg., 52, 8, 655-672.
    Open DOISearch in Google Scholar
  18. Ghamry, H.K., Steffler, P.M., 2002. Effect of applying different distribution shapes for velocities and pressure on simulation of curved open channels. J. Hydr. Engrg., 128, 11, 969-982.
    Open DOISearch in Google Scholar
  19. Haaland, S.E., 1983. Simple and explicit formulas for the friction factor in turbulent pipe flow. J. Fluids Engrg., 105, 1, 89-90.
    Open DOISearch in Google Scholar
  20. Khan, A.A., Steffler, P.M., 1996. Modelling overfalls using vertically averaged and moment equations. J. Hydr. Engrg., 122, 7, 397-402.
    Open DOISearch in Google Scholar
  21. Liang, D., Lin, B., Falconer, R.A., 2007. Simulation of rapidly varying flow using an efficient TVD-MacCormack scheme. Int. J. Numer. Meth. Fluids, 53, 5, 811-826.
    Open DOISearch in Google Scholar
  22. Matthew, G.D. 1991. Higher order, one-dimensional equations of potential flow in open channels. Proc. Instn. Civ. Eng., London, England, 91, 3, 187-201.
    Search in Google Scholar
  23. Montes, J.S., 1994. Potential flow solution to 2-D transition from mild to steep slope. J. Hydr. Engrg., 120, 5, 601-621.
    Open DOISearch in Google Scholar
  24. Serre, F., 1953. Contribution à l’étude des écoulements permanents et variables dans les canaux [Contribution to the study of steady and unsteady channel flows]. La Houille Blanche, 8, 6-7, 374-388. (In French.)
    Open DOISearch in Google Scholar
  25. Steffler, P.M., Jin, Y., 1993. Depth averaged and moment equations for moderately shallow free surface flow. J. Hydr. Res., 31, 1, 5-17.
    Open DOISearch in Google Scholar
  26. U. S. Bureau of Reclamation, 1948. Studies of crests for overfall dams. Hydraulic Investigations, Bulletin 3, Part VI, Boulder Canyon Project Final Reports, Denver, Colo.
    Search in Google Scholar
  27. White, F.M., 2003. Fluid Mechanics. 5th edition, McGraw-Hill, New York, NY.
    Search in Google Scholar
  28. Xia, C., Jin, Y., 2006. Multilayer averaged and moment equations for one-dimensional open-channel flows. J. Hydr. Engrg., 132, 8, 839-849.
    Open DOISearch in Google Scholar
  29. Zerihun, Y.T., 2004. A one-dimensional Boussinesq-type momentum model for steady rapidly varied open channel flows. Ph.D. Thesis, Department of Civil and Environmental Engineering, The University of Melbourne, Australia.
    Search in Google Scholar
  30. Zerihun, Y.T., Fenton, J.D., 2006. One-dimensional simulation model for steady transcritical free surface flows at short length transitions. Adv. Water Resour., 29, 11, 1598-1607.
    Open DOISearch in Google Scholar
  31. Zobeyer, H., Steffler, P.M., 2012. Modelling plane openchannel flows by coupled depth-averaged and RANS equations. J. Hydr. Res., 50, 1, 82-88.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.1515/johh-2016-0028 | Journal eISSN: 1338-4333 (formerly 0042-790X) | Journal ISSN: 0042-790X
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Language: English
Page range: 281 - 288
Submitted on: Oct 8, 2015
Accepted on: Apr 15, 2016
Published on: Jul 8, 2016
Published by: Slovak Academy of Sciences, Institute of Hydrology
In partnership with: Paradigm Publishing Services
Keywords:
Curvilinear flow,
Finite difference method,
Hydraulic structures,
Hydrodynamics,
Non-hydrostatic pressure,
Nonuniform flow
Related subjects:
Engineering,
Introductions and overviews,
Engineering, other

© 2016 Yebegaeshet T. Zerihun, published by Slovak Academy of Sciences, Institute of Hydrology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 64 (2016): Issue 3 (September 2016)
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