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Russia Khabarovsk
Section Mechanics
Title The evolution of a cross-channel trench under the influence of the transit hydrodynamic flow
Author(-s) Potapov I.I.a, Snigur K.S.a
Affiliations Computer Center, Far Eastern Branch of the Russian Academy of Sciencesa
Abstract The paper presents a river-bed mathematical model that is one-dimensional in space. In the model we use the original equilibrium formula of bed-load sediment motion, which takes into account the influence of bottom morphology, physical and mechanical parameters of the bottom material on bed-load sediment transport process is used. The formula does not contain new phenomenological parameters. The hydrodynamic flow is described by the steady motion equations within the bounds of the “shallow water’’ theory. The numerical algorithm for the solution of the governing equations by the control volume method is proposed. The problem of changing geometry of a cross-channel trench when moving over it transit hydrodynamic flow is considered as a verification of the model. The obtained solutions are compared with an experimental data and calculations of other authors. The movement front of the downstream and upstream trench regions, as well as the trench depth, are well-restored due to the model proposed. On average, we obtained a high degree of agreement between the numerical results and experimental data in the region, the mean-relative error between the calculated and measured data is close to 5 %. According to the verification results of the proposed model we have concluded that the mathematical model quantitatively and qualitatively describes the process of bottom surface deformation under the influence of hydrodynamic flow.
Keywords cross-channel trench, sediment transport, channel processes
UDC 532.5.032
MSC 76B07
DOI 10.20537/vm140210
Received 1 December 2013
Language Russian
Citation Potapov I.I., Snigur K.S. The evolution of a cross-channel trench under the influence of the transit hydrodynamic flow, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2014, issue 2, pp. 146-152.
  1. Goncharov V.N. Dinamika ruslovykh potokov (Channel flow dynamics), Leningrad: Gidrometeoizdat, 1962, 367 p.
  2. Karaushev A.V. Teoriya i metody rascheta rechnykh nanosov (The theory and methods of river sediment calculating), Leningrad: Gidrometeoizdat, 1977, 272 p.
  3. Bagnold R.A. An approach to the sediment transport problem from general physics, U.S. Geological Survey Professional Paper 422-I, 1966, 37 p.
  4. Shulyak B.A. Fizika voln na poverkhnosti sypuchei sredy i zhidkosti (Physics of waves on the granular and liquid surface), Moscow: Nauka, 1971.
  5. Petrov P.G. Motion of a bed load, Journal of Applied Mechanics and Technical Physics, 1991, vol. 32, issue 5, pp. 717-721.
  6. Potapov I.I., Shchekacheva M.A. Determination of the coastal rate of erosion for the rivers with sandy bottom, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2011, no. 4, pp. 116-120 (in Russian).
  7. Krat Yu.G., Potapov I.I. Stochastic model of development of bed forms, Vestn. Udmurt. Univ. Mat. Mekh. Komp'yut. Nauki, 2013, no. 2, pp. 85-91 (in Russian).
  8. Kartvelishvili N.A. Potoki v nedeformiruemykh ruslakh (Flows in unyielding channels), Leningrad: Gidrometeoizdat, 1973, 279 p.
  9. Belolipetskii V.M., Genova S.N. The computational algorithm for determining the suspended and bottom sediments dynamics in channel, Vychisl. Tekhnol., 2004, vol. 9, no. 2, pp. 9-25 (in Russian).
  10. Grishanin K.V. Ustoichivost' rusel rek i kanalov (Sustainability of rivers and channels), Leningrad: Gidrometeoizdat, 1974, 143 p.
  11. Potapov I.I., Snigur K.S. The ground deformations analysis of the incoherent bottom of the channel in lower hydrosite bief, Vychisl. Tekhnol., 2011, vol. 16, no. 4, pp. 114-119 (in Russian).
  12. van Rijn L.C. Sedimentation of dredged channels by currents and waves, Journal of Waterway, Port, Coastal and Ocean Engineering, 1986, vol. 112, no. 5, pp. 541-559.
  13. Sanchez A., Wu W. A non-equilibrium sediment transport model for coastal inlets and navigation channels, Journal of Coastal Research, 2011, Special Issue 59, pp. 39-48.
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