Similarity solutions of the shallow water equations
Glaister, P. (1991) Similarity solutions of the shallow water equations. Journal of Hydraulic Research, 29 (1). pp. 107-116. ISSN 1814-2079
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To link to this article DOI: 10.1080/00221689109498995
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.