References
D. N. Popov, Unsteady Hydraulic Processes [in Russian], Mashinostroenie, Moscow (1982).
D. N. Popov, Dynamics and Regulation of Hydraulic and Pneumatic Systems [in Russian], Mashinostroenie, Moscow (1987).
L. G. Loitsyanskii, Fluid Mechanics [in Russian], Nauka, Moscow (1987).
V. M. Lyatkher and A. M. Prudovskii, Hydraulic Modeling [in Russian], Énergoatomizdat, Moscow (1984).
I. A. Charnyi, Unsteady Motion of a Real Fluid in Pipes [in Russian], Nedra, Moscow (1975).
W. Zilke, “Frequency-dependent friction during unsteady flow in a pipeline” [Russian translation], Teor. Osn. Inzh. Rasch., No. 1 (1968).
S. K. Godunov and V. S. Ryaben'kii, Introduction to the Theory of Difference Schemes [in Russian], Fizmatgiz, Moscow (1962).
R. D. Richtmayer and K. W. Morton, Difference Methods of Solving Boundary-Value Problems [Russian translation], Mir, Moscow (1972).
Holmbow and Ruleau, “Effect of viscous friction on propagation of signals in hydraulic lines” [Russian translation], Teor. Osn. Inzh. Rasch., No. 3 (1964).
L. V. Ovsyannikov, “Two-layer shallow-water models,” Zh. Prikl. Mekh. Teor. Fiz., No. 2 (1972).
J. Whitham, Linear and Nonlinear Waves [Russian translation], Mir, Moscow (1977).
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Translated from Gidrotekhnicheskoe Stroitel'stvo, No. 9, pp. 11–15, September, 1996.
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Shkol'nikov, S.Y. Mathematical model of wave flows in a pipeline with consideration of restructuring of the velocity profile. Hydrotechnical Construction 30, 519–526 (1996). https://doi.org/10.1007/BF02447453
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DOI: https://doi.org/10.1007/BF02447453