Abstract
The theory of depth-averaged non-hydrostatic free surface flows is presented in this book, including open channel, groundwater, and avalanche flows.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Boussinesq, J. (1877). Essai sur la théorie des eaux courantes (Essay on the theory of water flow). In Mémoires présentés par divers savants à l’Académie des Sciences (Vol. 23, pp. 1–680). Paris (in French).
Castro-Orgaz, O., Giráldez, J. V., & Robinson, N. (2012). Second order two-dimensional solution for the drainage of recharge based on Picard’s iteration technique: A generalized Dupuit-Forchheimer equation. Water Resources Research, 48, W06516. doi:10.1029/2011WR011751
Castro-Orgaz, O., & Hager, W. H. (2009). Curved streamline transitional flow from mild to steep slopes. Journal of Hydraulic Research, 47(5), 574–584.
Castro-Orgaz, O., Hutter, K., Giráldez, J. V., & Hager, W. H. (2015). Non-hydrostatic granular flow over 3D terrain: New Boussinesq-type gravity waves? Journal of Geophysical Research: Earth Surface, 120(1), 1–28.
Denlinger, R. P., & O’Connell, D. R. H. (2008). Computing nonhydrostatic shallow-water flow over steep terrain. Journal of Hydraulic Engineering, 134(11), 1590–1602.
Dressler, R. F. (1978). New nonlinear shallow flow equations with curvature. Journal of Hydraulic Research, 16(3), 205–222.
Hager, W. H., & Hutter, K. (1984). Approximate treatment of plane channel flow. Acta Mechanica, 51(3–4), 31–48.
Khan, A. A., & Lai, W. (2014). Modelling shallow water flows using the discontinuous Galerkin method. London: CRC Press, Taylor and Francis.
Kim, D.-H., Lynett, P. J., & Socolofsky, S. (2009). A depth-integrated model for weakly dispersive, turbulent, and rotational fluid flows. Ocean Modelling, 27(3–4), 198–214.
Matthew, G. D. (1991). Higher order one-dimensional equations of potential flow in open channels. Proceedings of the ICE, 91(3), 187–201.
Savage, S. B., & Hutter, K. (1989). The motion of a finite mass of granular material down a rough incline. Journal of Fluid Mechanics, 199, 177–215.
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; 8(12), 830–887 (in French).
Toro, E. F. (2001). Shock-capturing methods for free-surface shallow flows. New York: Wiley.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Castro-Orgaz, O., Hager, W.H. (2017). Concluding Remarks. In: Non-Hydrostatic Free Surface Flows. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-47971-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-47971-2_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-47969-9
Online ISBN: 978-3-319-47971-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)