SGER: Enhanced Computational Methods for Nonlinear Hamiltonian Wave Dynamics

该项目旨在实施一个计算方案，用于评估描述海洋表面波的非线性相互作用项。 其目标包括治疗的四波相互作用的深水计算的重要性，和治疗的三波相互作用与毛细波。 在有限深度的水的三波和四波的相互作用也将被处理。 该研究包括三个阶段：第一阶段是编程解决方案，这是由最新发布的Matlab版本5的帮助下;第二阶段是在一系列问题上练习求解器，关于这些问题已经存在有价值的信息;第三阶段是将驱动和耗散模型纳入方程。

The project seeks to implement a computational scheme for evaluating the nonlinear interaction terms which describe ocean surface waves. The objectives include treatment of the four-wave interaction important for deep-water computations, and treatment of the three-wave interaction with capillary waves present. The three-wave and four-wave interactions in water of finite depth will also be treated. The research consists of three phases: The first is to program the solutions, which is aided by recent release of Matlab Version 5; the second phase is to exercise the solver on a range of problems, about which valuable information already exists; And the third phase is to incorporate models of driving and dissipation into the equations.