Summac A Numerical Model For Water Waves

SUMMAC: a Numerical Model for Water Waves

The work focuses on the numerical studies of large water waves with particular application to storm-generated waves and tsunamis. The specific objective is the exact simulation on a digital computer of nonlinear waves in the shallow water zones. The study is based on the simulation technique called SUMMAC (the Stanford-University-Modified-Marker-And-Cell Method). The flow field is represented by a rectangular mesh of cells and a line of hypothetical particles which defines the free surface. Finite-difference Navier-Stokes equations are used as the governing equations of the velocity fields while the pressure field is obtained by solving a finite-difference Poisson's equation. The currently implemented SUMMAC is limited to waves that are non-breaking and non-turbulent. (Author).

Numerical Modeling of Water Waves

Modelling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modelling can be viewed as an extension of wave theory, a mature and widely published field, applied to practical engineering through the use of computer tools. Information about the various wave models which have been developed is often widely scattered in the literature, and consequently this is one of the first books devoted to wave models and their applications. At the core of the book is an introduction to various types of wave models. For each model, the theoretical assumptions, the application range, and the advantages and limitations are elaborated. The combined use of different wave models from large-scale to local-scale is highlighted with a detailed discussion of the application and matching of boundary conditions. At the same time the book provides a grounding in hydrodynamics, wave theory, and numerical methods which underlie wave modelling. It presents the theoretical background and also shows how to use these models for achieving different engineering tasks, illustrated and reinforced with case study examples.

Hydrodynamics in the Ocean Environment