Wave Breaking: A Numerical Study (lecture Notes In Engineering)

In this monograph, a finite difference algorithm for study- ing two dimensional wave breaking in the vertical plane is developed. The essential feature of this algorithm is the combination of the Volume-of-Fluid (VOF) technique for arbi- trary free surfaces and the k-E turbulence model. This me- thodology allows a self-contained study for wave transforma- tion processes in shallow water before, during and after breaking. This capability is illustrated in several calcula- tions. This book will be of interest for final year graduates, postgraduates and researchers working in the fields of tur- bulence modelling, wave hydrodynamics, coastal engineering, and oceanography of coastal regions. Front Matter....Pages I-VIII Introduction....Pages 1-5 General Aspects of Incompressible Flow Theoretical Review....Pages 6-35 Mathematical Modeling of Breaking Shallow Water Waves Proposed Methodology....Pages 36-66 MAC—Type Methods for Incompressible Free—Surface Flows....Pages 67-90 Description of the Numerical Model....Pages 91-138 Numerical Simulation of Shallow Water Waves....Pages 139-180 Conclusions Future Research and Development....Pages 181-185 Back Matter....Pages 186-197 This monograph develops a finite difference algorithm for studying two-dimensional wave breaking in the vertical plane. The methodology introduced allows a self-contained study for wave transformation processes in shallow water before, during and after the breaking of the wave.