Advances in Numerical Simulation of Nonlinear Water Waves by Qingwei Ma

By Qingwei Ma

Lots of the Earth's floor is roofed through water. Many features of our daily lives and actions will be laid low with water waves indirectly. occasionally, the waves could cause catastrophe. one of many examples used to be the tsunami that happened within the Indian Ocean on 26 December 2004. this means how very important it truly is for us to totally comprehend water waves, particularly the very huge ones. a method to take action is to accomplish numerical simulation in keeping with the nonlinear thought. substantial study advances were made during this sector during the last decade by way of constructing a variety of numerical tools and utilising them to rising difficulties; despite the fact that, formerly there was no entire booklet to mirror those advances. This designated quantity goals to bridge this hole. This e-book comprises 18 self-contained chapters written via greater than 50 authors from 12 varied international locations, lots of whom are world-leading specialists within the box. every one bankruptcy relies as a rule at the pioneering paintings of the authors and their examine groups over the last many years. The chapters altogether take care of just about all numerical tools which were hired to date to simulate nonlinear water waves and canopy many vital and extremely fascinating functions, resembling overturning waves, breaking waves, waves generated by means of landslides, freak waves, solitary waves, tsunamis, sloshing waves, interplay of utmost waves with shores, interplay with mounted buildings, and interplay with free-response floating constructions. consequently, this booklet presents a finished assessment of the state of the art study 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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14. Upper: computational section A–B in the Strait of Malacca. Lower: depth profile along section. position and reduces to 80 m after 200 km, and to 37 m after 375 km (figure 14). 8 m, see figure 16a. The numerical tank is 1430 km long. 4 · 105 nodes, since there are always a minimum of two nodes in the lateral direction. An estimated wavelength of the train of short waves is about 400 m (see below) giving (about) 20 nodes per wavelength with the fine resolution and 10 with coarse, both producing same result.

Simulations of of crescent water wave patterns on finite depth. Phys. , 17, 0641011-15. November 7, 2008 42 16:46 World Scientific Review Volume - 9in x 6in J. Grue and D. Fructus 36. Clamond, D. and Grue, J. (2002). Interaction between envelope solitons as a model for freak wave formations. Part I: Long time interaction. C. R. Mecanique, 330, pp. 575–580. 37. Ochi, M. K. (1998). Ocean waves - the stochasitc approach. Camb. Univ. Press. 320 pp. 38. Trulsen, K. (1999). Trans. ASME, 121, pp. 126-130.

J. Fluid Mech. Res. 33, (1), pp. 15-43. 50. Pelinovsky, E. N. (2006). Hydrodynamics of tsunami waves. In: Waves in geophysical fluids. Tsunamis, rogue waves, internal waves and internal tides, J. Grue and K. ), CISM courses and lecture series No. 489, Springer, 2006, pp. 1-48. 51. , Pelinovsky, E. , Talipova, T. and Kharif, Ch. (2008). Formation of undular bores and solitary waves in the Strait of Malacca caused by the Dec. 26, 2004, Indian Ocean tsunami. J. Geophys. Res. (in press). fr Christian Kharif Institut de Recherche sur les Ph´enom`enes Hors Equilibre 49 rue F.

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