Wave breaking over sloping beaches using a coupled boundary integral-level set method

Garzon, M. ; Adalsteinsson, D. ; Gray, L. ; Sethian, J.A.

Lawrence Berkeley National Laboratory

关键词: Topography;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Ideal Flow;    Algorithms;    Velocity;   

DOI  :  10.2172/840733
RP-ID  :  LBNL--54480
RP-ID  :  AC03-76SF00098
RP-ID  :  840733

美国|英语

来源: UNT Digital Library

【 摘 要 】

We present a numerical method for tracking breaking waves over sloping beaches. We use a fully non-linear potential model for in-compressible, irrotational and inviscid flow, and consider the effects of beach topography on breaking waves. The algorithm uses a Boundary Element Method (BEM) to compute the velocity at the interface, coupled to a Narrow Band Level Set Method to track the evolving air/water interface, and an associated extension equation to update the velocity potential both on and off the interface. The formulation of the algorithm is applicable to two and three dimensional breaking waves; in this paper, we concentrate on two-dimensional results showing wave breaking and rollup, and perform numerical convergence studies and comparison with previous techniques.