Sound Transmission in Isogradient Shallow Water over a Plane Sloping Bottom

1971 ◽  
Vol 49 (1A) ◽  
pp. 96-96 ◽  
Author(s):  
P. W. Smith
2008 ◽  
Vol 8 (2) ◽  
pp. 175-185 ◽  
Author(s):  
E. van Groesen ◽  
D. Adytia ◽  

Abstract. In this paper we show that shallow, elongated parts in a sloping bottom toward the coast will act as a waveguide and lead to large enhanced wave amplification for tsunami waves. Since this is even the case for narrow shallow regions, near-coast tsunami waveguiding may contribute to an explanation that tsunami heights and coastal effects as observed in reality show such high variability along the coastline. For accurate simulations, the complicated flow near the waveguide has to be resolved accurately, and grids that are too coarse will greatly underestimate the effects. We will present some results of extensive simulations using shallow water and a linear dispersive Variational Boussinesq model.


1987 ◽  
Vol 10 (3) ◽  
pp. 557-562 ◽  
Author(s):  
Yilmaz Akyildiz

We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. By using the hodograph method we construct solutions, conservation laws, and Böcklund transformations for these equations. We show that these constructions are canonical relative to a symplectic form introduced by Manin.


1971 ◽  
Vol 18 (4) ◽  
pp. 487-497 ◽  
Author(s):  
D.E. Weston ◽  
K.J. Stevens ◽  
J. Revie ◽  
M. Pengelly

1989 ◽  
Vol 86 (S1) ◽  
pp. S8-S8 ◽  
Author(s):  
Lynne Maiocco ◽  
William Carey ◽  
Edwin Parssinen ◽  
James Doutt

1975 ◽  
Vol 58 (S1) ◽  
pp. S30-S30
Author(s):  
A. V. Bray ◽  
A. J. Friedman ◽  
Larry Rosenblum

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