Solitary waves in open channels with abrupt turns and branching points

Journal of Nonlinear Mathematical Physics

Volumn 19, Issue SUPPL. 1, 2012, Pages

  Nachbin, André ^a   Da Silva SimÕes, Vanessa ^a  

^a IMPA   (Brazil)

Author keywords

solitary waves; tsunami in channels; Water waves

Indexed keywords

EID: 84870397968     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.1142/S1402925112400116     Document Type: Conference Paper

References (18)

1. J. Bona and R. C. Cascaval, Nonlinear dispersive waves on trees, Canad. Appl. Math. Quart. 16 (2008) 1-18.
2. T. A. Driscoll and L. Trefethen, Schwarz-Christoffel Mapping (Cambridge University Press, 2002).
3. J. D. Fenton and G. V. Nalder, Long wave equations for waterways curved in plan, in 26th Congr. of the Int. Association for Hydraulic Research (London, 1995), pp. 573-578.
4. L. Formaggia, D. Lamponi and A. Quarteroni, One-dimensional models for blood flow in arteries, J. Eng. Math. 47 (2003) 251-276.
5. J.-P. Fouque, J. Garnier, J. C. Muñoz-Grajales and A. Nachbin, Time-reversing solitary waves, Phys. Rev. Lett. 92 (2004) 094502.
6. J.-P. Fouque, J. Garnier and A. Nachbin, Shock structure due to stochastic forcing and the time reversal of nonlinear waves, Physica D 195 (2004) 324-346.
7. J. Garnier, R. A. Kraenkel and A. Nachbin, Optimal Boussinesq model for shallow-water waves interacting with a microstructure, Phys. Rev. E 76 (2007) 046311.
8. C. B. Harbitz, Reflection-transmission of nonlinear waves in channel bends, preprint, Institute of Mathematics, University of Oslo, Norway, No. 6 (April, 1992).
9. http://www.ngi.no/en/Contentboxes-and-structures/Reference-Projects/... Reference-projects/Monitoring-and-modelling-of-the-Aknes/.
10. http://www.tu.no/nyheter/naturvitenskap/2005/01/11/norske-tsunamier.
11. P. M. Jacovkis, One-dimensional hydrodynamic flow in complex networks and some generalizations, SIAM J. Appl. Math. 51 (1991) 948-966.
12. J. C. Muñoz and A. Nachbin, Stiff microscale forcing and solitary wave refocusing, SIAM Multi. Model. Simul. 3 (2005) 680-705.
13. J. C. Muñoz and A. Nachbin, Improved Boussinesq-type equations for highly-variable depths, IMA J. App. Math. 71 (2006) 600-633.
14. A. Nachbin, A terrain-following Boussinesq system, SIAM J. Appl. Math. 63 (2003) 905-922.
15. NGI, The Aknes/Tafjord project, Numerical simulations of tsunamis from potential and historical rock slides in Storfjorden; Hazard zoning and comparison with 3D laboratory experiments, Report 20051018-00-1-R Rev. 01, Norwegian Geotechnical Institute (21 February 2011).
16. A. Shi, M. H. Teng and I. M. Sou, Propagation of solitary waves in branching channels, ASCE J. Engng. Mech. 131 (2005) 859-871.
17. A. Shi, M. H. Teng and T. Y. Wu, Propagation of solitary waves through significantly curved shallow water channels, J. Fluid. Mech. 362 (1998) 157-176.
18. T. Y. Wu, Long waves in ocean and coastal waters, ASCE J. Engng. Mech. 107 (1981) 501-522.