Abstract

http://ssrn.com/abstract=1067218
 
 

References (12)



 


 



The Boundary Value Problem for the Nonlinear Shallow Water Equations


Matteo Antuono


affiliation not provided to SSRN

Maurizio Brocchini


affiliation not provided to SSRN


Studies in Applied Mathematics, Vol. 119, Issue 1, pp. 73-93, July 2007

Abstract:     
We propose an approximate analytical solution of the boundary value problem (BVP) for the nonlinear shallow waters equations. Our work, based on the Carrier and Greenspan [1] hodograph transformation, focuses on the propagation of nonlinear non-breaking waves over a uniformly plane beach. Available results are briefly discussed with specific emphasis on the comparison between the Initial Value Problem and the BVP' the latter more completely representing the physical phenomenon of wave propagation on a beach. The solution of the BVP is achieved through a perturbation approach solely using the assumption of small waves incoming at the seaward boundary of the domain. The most significant results, i.e., the shoreline position estimation, the actual wave height and velocity at the seaward boundary, the reflected wave height and velocity at the seaward boundary are given for three specific input waves and compared with available solutions.

Number of Pages in PDF File: 21

Accepted Paper Series


Date posted: December 11, 2007  

Suggested Citation

Antuono, Matteo and Brocchini, Maurizio, The Boundary Value Problem for the Nonlinear Shallow Water Equations. Studies in Applied Mathematics, Vol. 119, Issue 1, pp. 73-93, July 2007. Available at SSRN: http://ssrn.com/abstract=1067218 or http://dx.doi.org/10.1111/j.1365-2966.2007.00378.x

Contact Information

Matteo Antuono (Contact Author)
affiliation not provided to SSRN
No Address Available
Maurizio Brocchini
affiliation not provided to SSRN
No Address Available
Feedback to SSRN


Paper statistics
Abstract Views: 345
Downloads: 3
References:  12

© 2014 Social Science Electronic Publishing, Inc. All Rights Reserved.  FAQ   Terms of Use   Privacy Policy   Copyright   Contact Us
This page was processed by apollo8 in 0.329 seconds