By Qingwei Ma

Lots of the Earth's floor is roofed through water. Many elements of our daily lives and actions could 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 vital it's for us to totally comprehend water waves, specifically the very huge ones. a technique to take action is to accomplish numerical simulation according to the nonlinear concept. substantial learn advances were made during this zone during the last decade through constructing quite a few numerical equipment and utilizing them to rising difficulties; besides the fact that, earlier there was no accomplished ebook to mirror those advances. This distinctive quantity goals to bridge this hole. This booklet comprises 18 self-contained chapters written through greater than 50 authors from 12 diverse international locations, a lot of whom are world-leading specialists within the box. each one bankruptcy is predicated mostly 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 tools which were hired up to now to simulate nonlinear water waves and canopy many vital and intensely fascinating purposes, akin to overturning waves, breaking waves, waves generated by way of landslides, freak waves, solitary waves, tsunamis, sloshing waves, interplay of utmost waves with shorelines, interplay with fastened buildings, and interplay with free-response floating constructions. for this reason, this booklet offers a finished review of the state of the art examine and key achievements in numerical modeling of nonlinear water waves, and serves as a different reference for postgraduates, researchers and senior engineers operating in undefined.

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**Extra resources for Advances in Numerical Simulation of Nonlinear Water Waves (Advances in Coastal and Ocean Engineering)**

**Example text**

Evolution of a narrow-band spectrum of random surface gravity waves. J. , 478, pp. 1–10. 7. , Dysthe, K. , Krogstad, H. E. and Liu, J. (2005). Distribution of surface gravity waves during spectral changes. J. , 542, pp. 195–216. 8. West, B. , Brueckner, K. , Janda, R. , Milder, D. M. and Milton, R. L. (1987). A new numerical method for surface hydrodynamics. J. Geophys. Res. 92, 11, pp. 11803–11824. 9. Dommermuth, D. G. and Yue, D. K. P. (1987). A high-order spectral method for the study of nonlinear gravity waves.

Corresponds to the material derivative. These formulations are equivalent, even if they will lead to different properties of the method, as discussed in the following sections. 2. Bottom condition Depending on the problem to solve, two conditions can be considered for the bottom boundary condition. 12) where z = −h(x, y) is the bottom equation. 3. Lateral condition The choice of the lateral boundary condition also depends on the physical problem considered. In a first case one can consider a closed geometry.

720-739. 46. Hammack, J. (1973). A note on tsunamis: their generation and propagation in an ocean of uniform depth. J. , 60, pp. 769–700. 47. Liu, P. -F. (2005). Tsunami simulations and numerical models. The Bridge (National Academy of Sciences, USA), 35, (2), pp. 14-20. 48. Dalrymple, R. , Grilli, S. T. and Kirby, J. T. (2006). Tsunamis and challenges for accurate modeling. Oceanography I, 19, (1), pp. 142-151. 49. , Pedersen, G. , Harbitz, C. , Langtangen, H. P. and Løvholt, F. (2006). Propagation of the Dec.