Summary
Three dissipative finite-difference schemes are discussed for the numerical calculation of discontinuous shallow water flow. The shallow water equations have been derived on assumptions which are not acceptable in the case of discontinuous flow. However, they may give satisfactory results if only weak jumps are present.
It will be shown that a coarse network may affect the velocity of propagation of the computed bore.
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Vliegenthart, A.C. Dissipative difference schemes for shallow water equations. J Eng Math 3, 81–94 (1969). https://doi.org/10.1007/BF01535512
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DOI: https://doi.org/10.1007/BF01535512