[
Chabokpour, J., 2020. Study of pollution transport through the rivers using aggregated dead zone and hybrid cells in series models. Int. J. Environ. Sci. Technol., 17, 4313–4330.
]Search in Google Scholar
[
Cunge, J., Holly Jr., F.M., Verwey, A., 1980. Practical Aspects of Computational River Hydraulics. Pitman, London, 420 p.
]Search in Google Scholar
[
Czernuszenko, W., Rowiński, P.M., 1997. Properties of the dead-zone model of longitudinal dispersion in rivers. J. Hydraul. Res., 35, 4, 491–504.
]Search in Google Scholar
[
Czernuszenko, W., Rowiński, P.M., Sukhodolov, A.N., 1998. Experimental and numerical validation of the dead-zone model. J. Hydraul. Res., 36, 2, 269–280.
]Search in Google Scholar
[
Deltares, 2011. Delft3D-FLOW - Simulation of multi-dimensional hydrodynamic flows and transport phenomena, including sediments. User Manual. Hydro-Morphodynamics. Version 3.15.
]Search in Google Scholar
[
De Smedt, F., Brevis, W., Debels, P., 2005. Analytical solution for solute transport resulting from instantaneous injection in streams with transient storage. J. Hydrol., 315, 25–39.
]Search in Google Scholar
[
Eagleson, P.S., 1970. Dynamic Hydrology. McGraw Hill, INC, New York, 462 p.
]Search in Google Scholar
[
Fischer, H.B., List, E.J., Koh, R.C.Y., Imberger, J., Brooks, N.H., 1979. Mixing in Inland and Coastal Waters. Academic Press, New York, 483 p.
]Search in Google Scholar
[
Fletcher, C.A., 1991. Computational Techniques for Fluid Dynamics. Vol. I. Springer Verlag, Berlin, Germany, 401 p.
]Search in Google Scholar
[
French, R.H., 1985. Open Channel Hydraulics. Mc Graw Hill INC, New York, 705 p.
]Search in Google Scholar
[
Gualtieri, C., 2010. RANS-based simulation of transverse turbulent mixing in a 2D-geometry. Environ. Fluid Mech., 10, 137–156. http://doi.org/10.1007/s10652-009-9119-6
]Search in Google Scholar
[
HEC-RAS, 2016. River Analysis System, User’s Manual, Version 5.0, US Army Corps of Engineers, Institute for Water Resources, Hydrologic Engineering Center.
]Search in Google Scholar
[
Hervouet, J.M., 2007. Hydrodynamics of Free Surface Flows. Wiley, Chichester, 341 p.
]Search in Google Scholar
[
Jaiswal, D.K., Kumar, A., Yadav, R.R., 2011. Analytical solution to the one-dimensional advection-diffusion equation with temporally dependent coefficients. J. Water Resource Prot., 3, 76–84. http://doi.org/10.4236/jwarp.2011.31009.
]Search in Google Scholar
[
Mc Quarrie, D.A., 2003. Mathematical Methods for Scientists and Engineers. Univ. Science Books, 1161 p.
]Search in Google Scholar
[
Krukowski, M., Kurzawski, G., 2001. Spread of the passive pollutants in lowland river. Scientific Review–Engineering and Environmental Sciences, 23, 23–36. (In Polish.)
]Search in Google Scholar
[
Lees, M.J., Camacho, L.A., Chapra, S., 2000. On the relationship of transient storage and aggregated dead zone models of longitudinal solute transport in streams. Water Resour. Res., 36, 1, 213-224.
]Search in Google Scholar
[
LeVeque, R.J., 2002. Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge, 558 p.
]Search in Google Scholar
[
Mazaheri, M., Samani, J.M.V., Samani, H.M.V., 2013. Analytical solution to one-dimensional advection-diffusion equation with several point sources through arbitrary time-dependent emission rate patterns. J. Agr. Sci. Technol., 15, 1231–1245.
]Search in Google Scholar
[
MIKE 11, 2021. A modelling system for Rivers and Channels. User Guide. DHI A/S
]Search in Google Scholar
[
Ouro, P., Fraga, B., Viti, N., Angeloudis, A., Stoesser, T., Gualtieri, C., 2018. Instantaneous transport of a passive scalar in a turbulent separated flow. Environ. Fluid Mech., 18, 487–513. https://doi.org/10.1007/s10652-017-9567-3
]Search in Google Scholar
[
Press, W.H., Teukolsky, S.A., Veterling, W.T., Flannery, B.P., 1992. Numerical Recipes in C. Cambridge University Press.
]Search in Google Scholar
[
Rowiński, P., Dysarz, T., Napiórkowski, J.J., 2004. Estimation of longitudinal dispersion and storage zone parameters. In: Greco, M., Carravetta, A., Della Morte, R. (Eds): Proc. 2nd Int. Conf. on Fluvial Hydraulics – River Flow 2004. Taylor & Francis Group, London, pp. 1201–1210.
]Search in Google Scholar
[
Runkel, R.L., 1998. One dimensional transport with inflow and storage (OTIS): a solute trans- transport model for streams and rivers. Water Resources Investigation Report 98-4018. U.S. Geological Survey. https://doi.org/10.3133/wri984018
]Search in Google Scholar
[
Runkel, R.L., Chapra, S.C., 1993. An efficient numerical solution of the transient storage equations for solute transport in small streams. Water Resources Research, 29, 1, 211–215.
]Search in Google Scholar
[
Rutherford, J.C., 1994. River Mixing. Wiley, Chichester, UK, 348 p.
]Search in Google Scholar
[
Říha, J., Julínek, T., Kotaška, S., 2023. Simplified dispersion analysis based on dye tests at a small stream. J. Hydrol. Hydromech., 71, 3, 316–330.
]Search in Google Scholar
[
Sokáč, M., Velisková, Y., Gualtieri, C., 2018. An approximated method for 1-D simulation of pollution transport in stream with dead zones. J. Hydrol. Hydromech., 4, 437–447.
]Search in Google Scholar
[
Sokáč, M., Velísková, Y., Gualtieri, C., 2019. Application of asymmetrical statistical distributions for 1D simulation of solute transport in streams. Water, 11, 2145. https://doi.org/10.3390/w11102145
]Search in Google Scholar
[
Szymkiewicz, R., 2010. Numerical Modeling in Open Channel Hydraulics. Springer, Dordrecht, 419 p.
]Search in Google Scholar
[
Szymkiewicz, R., Weinerowska, K., 2005. Analytical-numerical approach to solve the transport equation for steady gradually varied flow in open channel. Far East J. Appl. Math., 19, 2, 213–228.
]Search in Google Scholar
[
Szymkiewicz, R., Gąsiorowski, D., 2021. Adaptive method for solution of 1D and 2D advection-diffusion equations used in environmental engineering. Journal of Hydroinformatics, 23, 6, 1290–1311. http://doi.org/10.2166/hydro.2021.062
]Search in Google Scholar
[
Thackston, E.L., Schnelle, K.B.J., 1970. Predicting effects of dead zones on stream mixing. J. Sanit. Eng. Div., 96, 319–331.
]Search in Google Scholar
[
Valentine, E.M., Wood, I.R., 1977. Longitudinal dispersion with dead zones. J. Hydraul. Div. ASCE, 103, 975–990.
]Search in Google Scholar
[
Valentine, E., Wood, I., 1979. Experiments in longitudinal dispersion with dead zones. J. Hydraul. Div. ASCE, 105, 999–1016.
]Search in Google Scholar
[
van Genuchten, M.Th., Leij, F.J., Skaggs, T.H., Toride, N., Bradford, S.A., Pontedeiro, E.M., 2013a. Exact analytical solutions for contaminant transport in rivers. 1. The equilibrium advection-dispersion equation. J. Hydrol. Hydromech., 61, 2, 146–160.
]Search in Google Scholar
[
van Genuchten, M.Th., Leij, F.J., Skaggs, T.H., Toride, N., Bradford, S.A., Pontedeiro, E.M., 2013b. Exact analytical solutions for contaminant transport in rivers. 2. Transient storage and decay chain solutions. J. Hydrol. Hydromech., 61, 3, 250–259.
]Search in Google Scholar
[
Velísková, Y., Sokáč, M., Moghaddam, M.B., 2023. Inverse task of pollution spreading – Localization of source in extensive open channel network structure. J. Hydrol. Hydromech., 71, 4, 475–485.
]Search in Google Scholar
[
Weinbrecht, V., 2004. Influence of dead-water zones on the dispersive mass transport in rivers. PhD Thesis. Institute of Hydromechanics, University of Karlsruhe, Germany, 129 p.
]Search in Google Scholar
[
Young, P.C., Lees, M.J., 1993. The active mixing volume: a new concept in modelling environmental systems. In: Barnett, V., Turkman, K. (Eds): Statistics for the Environment. Wiley, Chichester, pp. 3–43.
]Search in Google Scholar