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Dam-Break Flows Over a Bottom Drop

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The single-layer shallow-water model is used to study flows generated by dam break over a bed level discontinuity in the form of a drop from which water flows. Emphasis is given to submerged regimes in which downstream wave processes affect the upstream flow. The paper considers solutions in which the total flow energy is conserved on the drop and solutions in which the energy is lost on the drop.

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REFERENCES

  1. J. J. Stoker, Water Waves. Mathematical Theory and Applications, Interscience Publishers, New York (1957).

    Google Scholar 

  2. L. V. Ovsyannikov, N. I. Makarenko, V. I. Nalimov, et al., Nonlinear Problems of the Theory of Surface and Inner Waves [in Russian], Nauka, Novosibirsk (1985).

    Google Scholar 

  3. V. Yu. Lyapidevskii and V. M. Teshukov, Mathematical Models of Propagation of Long Waves in Inhomogeneous Fluids [in Russian], Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk (2000).

    Google Scholar 

  4. V. I. Bukreev and A. V. Gusev, "Waves behind a step in an open channel," J. Appl. Mech. Tech. Phys., 44, No. 1, 52–58 (2003).

    Google Scholar 

  5. R. F. Dressler, "Comparison of theories and experiments for the hydraulic dam-break wave," Int. Assoc. Sci. Hydrology, 3, No. 38, 319–328 (1954).

    Google Scholar 

  6. F. Alcrudo and F. Benkhaldon, "Exact solutions to the Riemann problem of the shallow water equations with bottom step," Comp. Fluids, 30, 643–671 (2001).

    Google Scholar 

  7. A. A. Atavin and O. F. Vasil'ev, "Estimate of possible consequences of lock gate failures," in: Hydraulic and Hydrologic Safety of Hydraulic Structures: Proc. Int. Symp., (St. Petersburg, May 28-June 1, 2002), All-Russian Inst. of Hydraulic Engineering, St. Petersburg (2002), p. 121.

    Google Scholar 

  8. V. V. Ostapenko, "Discontinuous solutions of the shallow-water equations over a bottom step," J. Appl. Mech. Tech. Phys., 43, No. 6, 836–847 (2002).

    Google Scholar 

  9. V. V. Ostapenko, "Dam-break ows over a bottom step," J. Appl. Mech. Tech. Phys., 44, No. 4, 495–505 (2003).

    Google Scholar 

  10. I. K. Yaushev, "Decay of an arbitrary discontinuity in a channel with a jump in cross-section area," Izv. Akad. Nauk SSSR, Ser. Tekh. Nauk, 8, No. 2, 109–120 (1967).

    Google Scholar 

  11. A. A. Atavin, M. T. Gladyshev, and S. M. Shugrin, "Discontinuous ows in open channels," in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 22, Institute of Hydrodynamics, Novosibirsk (1975), pp. 37–64.

    Google Scholar 

  12. B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasilinear Equations [in Russian], Nauka, Moscow (1978).

  13. P. D. Lax, Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Soc. Industr. and Appl. Math., Philadelphia (1972).

    Google Scholar 

  14. V. V. Ostapenko, "Stable shock waves in two-layer `shallow water'," Prikl. Mat. Mekh., 65, No. 1, 94–113 (2001).

    Google Scholar 

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Ostapenko, V.V. Dam-Break Flows Over a Bottom Drop. Journal of Applied Mechanics and Technical Physics 44, 839–851 (2003). https://doi.org/10.1023/A:1026291905924

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  • DOI: https://doi.org/10.1023/A:1026291905924

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