Fully Nonlinear Potential Flow Models used for Long Wave Runup Prediction.

Chapter in Long-Wave Runup Models, (eds. H. Yeh, P. Liu, and C. Synolakis), pps. 116-180. World Scientific Publishing, Singapore..

Abstract :  

A review with theory and applications of Boundary Integral Equation methods, used for long wave runup prediction, is presented in this report.

In Section 1, a discussion is presented in an historical context of both methods for modeling long wave propagation and generic methods and models for modeling highly nonlinear wave problems. In Section 2, the mathematical model corresponding to the Fully Nonlinear Potential Flow model developed by the author is presented in detail, with boundary conditions for both wave generation and absorption in the model. In Section 3, details are given for the generation of both exact and first-order waves in the model, using various methods (wavemakers, free surface potential, internal sources). In Section 4, the numerical implementation of the present model is briefly presented, based on a higher-order Boundary Element Method. In Section 5, many applications of the model are presented for the computation of wave propagation, shoaling, breaking or runup on slopes, and interaction with submerged and emerged structures. The last presented application, in this respect, is the Benchmark #3 application for solitary wave runup on a vertical wall that was specifically discussed in the workshop. Finally, Appendices A to F give more details of various aspects of the numerical model.

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