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Interaction of shallow water waves

DSpace at IIT Bombay

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Field Value
 
Title Interaction of shallow water waves
 
Creator SEKHAR, TR
SHARMA, VD
 
Subject hyperbolic systems
conservation-laws
riemann problem
global-solutions
extended class
equations
beach
bore
flow
 
Description 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.
 
Publisher BLACKWELL PUBLISHING
 
Date 2011-07-19T03:49:05Z
2011-12-26T12:50:59Z
2011-12-27T05:37:15Z
2011-07-19T03:49:05Z
2011-12-26T12:50:59Z
2011-12-27T05:37:15Z
2008
 
Type Article
 
Identifier STUDIES IN APPLIED MATHEMATICS, 121(1), 1-25
0022-2526
http://dx.doi.org/10.1111/j.1467-9590.2008.00402.x
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5166
http://hdl.handle.net/10054/5166
 
Language en