By Qingwei Ma
Lots of the Earth's floor is roofed by means of water. Many elements of our daily lives and actions should be tormented by water waves in a roundabout way. occasionally, the waves may cause catastrophe. one of many examples used to be the tsunami that happened within the Indian Ocean on 26 December 2004. this means how vital it's for us to completely comprehend water waves, particularly the very huge ones. a method to take action is to accomplish numerical simulation according to the nonlinear concept. enormous learn advances were made during this region over the last decade by means of constructing a number of numerical equipment and utilizing them to rising difficulties; even if, earlier there was no accomplished e-book to mirror those advances. This distinctive quantity goals to bridge this hole. This ebook includes 18 self-contained chapters written by way of greater than 50 authors from 12 varied international locations, lots of whom are world-leading specialists within the box. each one bankruptcy is predicated customarily at the pioneering paintings of the authors and their learn groups over the last many years. The chapters altogether take care of just about all numerical equipment which have been hired to date to simulate nonlinear water waves and canopy many very important and extremely attention-grabbing functions, equivalent to overturning waves, breaking waves, waves generated by means of landslides, freak waves, solitary waves, tsunamis, sloshing waves, interplay of maximum waves with seashores, interplay with fastened constructions, and interplay with free-response floating buildings. as a result, this e-book offers a complete evaluate of the state of the art learn and key achievements in numerical modeling of nonlinear water waves, and serves as a special reference for postgraduates, researchers and senior engineers operating in undefined.
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Additional info for Advances in Numerical Simulation of Nonlinear Water Waves (Advances in Coastal and Ocean Engineering)
In a first case one can consider a closed geometry. The lateral surfaces are then understood as walls, and a numerical wave tank can be modeled. 13) where V refers to the wall velocity. This velocity can be taken equal to zero for a fixed wall, or can obey some time dependent law to simulate a wavemaker. March 3, 2010 10:14 World Scientific Review Volume - 9in x 6in ANSW02 J. Touboul and C. Kharif 50 Another case concerns periodic flows which need the use of periodic boundary conditions. The potential and its normal derivative on the left and right lateral surfaces are equal.
B/Fluids, 25, pp. 536-553. ANSW01 November 7, 2008 16:46 World Scientific Review Volume - 9in x 6in Fully Nonlinear Ocean Wave Simulations in Three Dimensions ANSW01 41 17. Grue, J. and Trulsen, K. ) (2006). Waves in Geophysical Fluids; Tsunamis, Rogue Waves, Internal Waves and Internal Tides. CISM lectures, Vol. 489, Springer 332 pp. 18. Lighthill, M. J. (1965). Contributions to the theory of of waves in nonlinear dispersive systems. J. , 183, pp. 451–465. 19. Su, M. Y. (1982). Three-dimensional deep water waves.
07×10−4, respectively, and thus that V (3) represents a most useful approximation for the practical evaluation of highly nonlinear and highly dispersive phenomenons relating to tsunami waves. 14 6. 47–50 We shall here not model the tsunami itself but rather simulate the motion that was observed when the long tsunami ran into the Strait of Malacca, generating undular bores in the shallow sea. 22) to model the nonlinear-dispersive process taking place during the formation of the short waves. The input wave to the simulation starting at the entrance of the Strait corresponds to a model simulation of the Indian Ocean tsunami.