Abstract
The mathematical model of kinematic wave, that is widely used in hydrological calculations, is generalized to compute processes in deformable channels. Self-similar solutions to the kinematic wave equations, namely, the discontinuous wave of increase and the “simple” wave of decrease are generalized. A numerical method is proposed for solving the kinematic wave equations for deformable channels. The comparison of calculation results with self-similar solutions revealed a good agreement.
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Translated from Meteorologiya i Gidrologiya, 2021, No. 6, pp. 43-54. https://doi.org/10.52002/0130-2906-2021-6-43-54.
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Krutov, A.N., Shkol’nikov, S.Y. Kinematic Wave Equations for Movable Riverbeds. Russ. Meteorol. Hydrol. 46, 379–387 (2021). https://doi.org/10.3103/S1068373921060042
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DOI: https://doi.org/10.3103/S1068373921060042