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Similarity solutions of the shallow water equations

Author(s): P. Glaister

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Abstract: A one-dimensional shock (bore) reflection problem is discussed for the two-dimensional shallow water equations with cylindrical symmetry. The differential equations for a similarity solution are derived and solved numerically in conjunction with the Rankine-Hugoniot shock relations.

DOI: https://doi.org/10.1080/00221689109498995

Year: 1991

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