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Title: Interaction of Shallow Water Waves
Authors: Raja Sekhar, T
Sharma, V D
Issue Date: 2008
Publisher: Wiley
Citation: Studies in Applied Mathematics, Vol 121, Iss 1, P 1 - 25
Abstract: In this paper, we consider the Riemann problem and interaction of elementary waves for a nonlinear hyperbolic system of conservation laws that arises in shallow water theory. This class of equations includes as a special case the equations of classical shallow water equations. We study the bore and dilatation waves and their properties, and show the existence and uniqueness of the solution to the Riemann problem. Towards the end, we discuss numerical results for different initial data along with all possible interactions of elementary waves. It is noticed that in contrast to the p-system, the Riemann problem is solvable for arbitrary initial data, and its solution does not contain vacuum state.
Description: Copyright for the published version belongs to Wiley
Appears in Collections:Journal Articles

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