缓坡方程计算分辨率选取的数值研究

自适应曲线网格技术是近年来国际上近岸海洋计算中采用较多的先进技术，而如何减少计算量一直是缓坡方程的一个研究热点，如将自适应曲线网格技术引入缓坡方程，则既提高局部海域分辨率又减少计算量，为了在缓坡方程计算模型中很好地引入自适应曲线网格技术作理论准备，绎缓坡方程计算分辨率的迭取问题作较深入的探讨，首先建立一个Ebersol型缓坡方程数值模型，然后设计了一组网格分辨率对计算结果影响的数值实验，讨论分辨率的取值范围，并且对缓坡方程大网格计算的可行性作了初步的理论分析，最后得出结论，若仅考虑地形的影响Ebersol型缓坡方程计算分辨率的选取主要决定于地形，即网络大小可突破波浪波长限制。

Numerical Study on Selection of Calculation Resolution in Mild-slope Wave Equation

The technology of adopting curvilinear grids is regularly used in wave calculation in shore. While the calculation quantity is a hotspot in the study of mild-slope equation. If we import the technology into the equation, we can not only increase resolution at local ocean area but also reduce the calculation quantity. Then in order to import the technology commendably, we make further study on the selection of resolution in the mildslope wave equation model. Firstly we establish a numerical model based on Ebersol mild-slope wave equation, then design a set of numerical experimentation to show the effect of the grid resolution on the results, from which we can discuss the warrant range of the resolution. We also make some primary theory discussions on the possibility of adopting large grids in the mild-slope wave equation model. Through the analysis we can draw the conclusion: if only take the effect of terrain into account, the selection of resolution only effected by the terrain. That is to say the magnitude of grid can break through the limit of wave length.