Abstract
Flows and contaminant transport in the Novosibirsk reservoir are calculated on the basis of a two-dimensional (plane) nonstationary model with Saint Venant's equations. The model allows for the presence of a large number of islands. Coefficients of horizontal exchange (dispersion) are calculated by the formula taking into account dynamic velocity at the bottom. Numerical implementation of the model employs a semi-implicit conservative finite-difference TVD scheme on a distributed grid and procedures allowing for the flow past these islands. Model examples of calculations and computation results for dynamics of long-range transport of contaminants along the Novosibirsk reservoir are given.
Similar content being viewed by others
REFERENCES
V. V. Ostapenko, "Numerical simulation of wave ows caused by a shoreside landslide," J. Appl. Mech. Tech. Phys., 40, No. 4, 647–654 (1999).
V. I. Klimovich and V. A. Prokofyev, "Numerical study of sanding up of marine water inlets, based on solving a plane hydrodynamic problem for open-channel ow hydrodynamics and transport drifts," in: Izv. Vedeneyev Inst. Gidrotekh. Sooruzh, 40, No.240, 134–145 (2002).
V. V. Ostapenko, "Discontinuous solutions of the `shallow water' equations for flow over a bottom step," J. Appl. Mech. Tech. Phys., 43, No.6, 836–846 (2002).
S. D. Zonov, D. V. Kvon, and V. I. Kvon, "Numerical modeling of contaminant transport in the littoral zone of a reservoir", in: Environmental Analysis of the Region (Theory, Methods, and Practice) [in Russian], Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk (2000), pp. 212–220.
S. D. Zonov, D. V. Kvon and V. I. Kvon, "Numerical modeling of turbulent ows and heat and contaminant transport processes in lowland river reservoirs," Vyshisl. Tekhnol., 7, 21–27 (2002); Vestn. Kazakh. Natsional. Univ., No. 4, 21-27, Joint Issue, Part 3 (2002).
S. K. Godunov, "Finite difference method for numerical computation of discontinuous solutions of hydrodynamic equations," Mat. Sb., No. 47, 271–306 (1959).
V. B. Karamyshev, Monotonic Schemes and Their Application to Gas Dynamics [in Russian],Izd. Novosib. Univ., Novosibirsk (1994).
S. Osher and S. R. Chakravarthy, "High resolution schemes and the entropy condition," SIAM J. Numer. Anal. 21, 955–984 (1987).
V. B. Karamyshev and V. M. Kovenya, "Predictorcorrector-type schemes for solving nonstationary gas dynamics problems," Russ. J. Theor. Appl. Mech., 1, No. 3, 199–212 (1991).
V. M. Kovenya, S. Cherny, S. Sharov, et al., "On some approaches to solve CFD problems," Comput. Fluids, 30, Nos. 7/8, 903–916 (2001).
J. O. Backhaus, "A semi-implicit scheme for the shallow water equations for application to shelf sea modeling," Continent. Shelf Res., 2, No. 4, 243–254 (1983).
J. M. Elder, "The dispersion of marked uids in turbulent shear flow," J. Fluid Mech., 5, No. 4, 544–660 (1959).
Map of the Novosibirsk reservoir, composed by the Ministry of Inland Water Transport of the Russian Federation, Ob Basin Transportation Management [in Russian], Novosibirsk (1978).
Yu. I. Podlipskii, "On organization and some complex results of Novosibirsk reservoir studies," in: Proc. of W. Siberian Regional Research Institute, Issue No. 70; Complex Research of the Novosibirsk Reservoir, Gidrometeoizdat, Moscow (1985), pp. 3–16.
State water Cadastre. Annual data on regime and resources of superficial land waters, Vol. 6, No. 0-3, Novosibirsk (1980).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kvon, V.I., Kvon, D.V., Zonov, S.D. et al. Numerical Calculation of Flows and Long-Range Transport of Contaminants in Lowland River Reservoirs. Journal of Applied Mechanics and Technical Physics 44, 880–884 (2003). https://doi.org/10.1023/A:1026252224579
Issue Date:
DOI: https://doi.org/10.1023/A:1026252224579