References
- Abbot, M.B., 1979. Computational Hydraulics: Elements of the Theory of Free-Surface Flows. Pitman, London.
- Artichowicz, W., 2012. Numerical modeling of steady gradually varied flow in open channels. PhD Thesis. Gdansk University of Technology, Faculty of Civil and Environmental Engineering, Gdansk.
- Artichowicz, W., Szymkiewicz, R., 2013. Properties of one dimensional open-channel steady flow equations. In: Proc. 13th International Symposium on Water Management and Hydraulic Engineering, Bratislava, Slovakia.
- Ascher, U.M., Petzold, L.R., 1998. Computer Methods for Ordinary Differential Equations and Difference-Algebraic Equations. SIAM, Philadelphia.
- Castro-Orgaz, O., Giráldez, J.V., Ayuso, J.L., 2008. Energy and momentum under critical flow conditions. Journal of Hydraulic Research, 46, 6, 844-848.
- Chanson, H., 2004. The Hydraulics of Open Channel Flow: An Introduction. Second Edition. Elsevier, Oxford.
- Chippada, S., Ramaswamy, B., Wheeler, M.F., 1994. Numerical simulation of the hydraulic jump. International Journal for Numerical Methods in Engineering, 37, 8, 1381-1397.
- Chow, V.T., 1959. Open-channel Hydraulics. McGraw-Hill / Kogakusha Company LTD, Tokyo.
- Cunge, J.A., Holly, F.M., Verwey, A., 1979. Practical Aspects of Computational River Hydraulics. Pitman, London.
- Dubin, J.R., 1999. On gradually varied flow profiles in rectangular open-channels. Journal of Hydraulic Research, 37, 1, 99-106.
- Field, W.G., Lambert, M.F., Williams, B.J., 1998. Energy and momentum in one dimensional open channel flow. Journal of Hydraulic Research, 36, 1, 29-42.
- Fread, D.L., Harbaugh, T.E., 1971. Open-channel profiles by Newton’s iteration technique. Journal of Hydrology, 13, 70-80.
- French, R.H., 1985. Open Channel Hydraulics. McGraw-Hill, New York.
- Goutal, N., Maurel, F., 2012. A finite volume solver for 1D shallow-water equations applied to an actual river. International Journal for Numerical Methods in Fluids, 38, 1-19.
- Jan, C.-D., Chen, C.-L., 2012. Use of the Gaussian hypergeometric function to solve the equation of graduallyvaried flow. Journal of Hydrology, 456-457, 139-145.
- Le Veque, R.J., 2002. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge.
- Macdonald, I., 1996. Analysis and computation of steady open channel flow. PhD Thesis. University of Reading, Reading.
- Misra, R., 1996. Spatially varied steady flow in irrigation canals. Agricultural Water Management, 30, 2, 217-235.
- Szydłowski, M., 2004. Implicit versus explicit finite volume schemes for extreme, free surface water flow modelling. Archives of Hydro-Engineering and Environmental Mechanics, 51, 3, 287-303.
- Szymkiewicz, R., 2010. Numerical Modeling in Open Channel Hydraulics. Springer, Dordrecht, Heidelberg, London, New York.
- Toro, E.F., 1999. Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction. Springer, Dordrecht, Heidelberg, London, New York.
- Vatankhah, A.R., 2011. Direct integration of gradually varied flow equation in parabolic channels. Flow Measurement and Instrumentation, 3, 22, 235-241.
- Venkatarman, P., Nasser, M.S., Ramamurthy, A.S., 1982. Dynamic equations for steady spatially varied open channel flow: a critical review. Advances in Water Resources, 5, 2, 66-72.