Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows

Author:

Bulatov O. V.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference18 articles.

1. J. J. Stoker, Water Waves (Wiley, New York, 1957; Inostrannaya Literatura, Moscow, 1959).

2. A. G. Kulikovskii, N. V. Pogorelov, and A. Yu. Semenov, Mathematical Aspects of Numerical Solution of Hyperbolic Systems (Fizmatlit, Moscow, 2001; Chapman and Hall/CRC, London, 2001).

3. N. E. Kochin, I. A. Kibel, and N. V. Roze, Theoretical Hydromechanics (Fizmatgiz, Moscow, 1963; Interscience, New York, 1964/1965).

4. F. Alcrudoa and F. Benkhaldoun, “Exact solutions to the Riemann problem of the shallow water equations with a bottom step,” Comput. Fluids 30, 643–671 (2001).

5. E. Han and G. Warnecke, http://www.math.ntnu.no/conservation/2012/012.pdf

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