Gerris数值方案及其在海洋数值模拟中的应用

Numerical scheme of Gerris and its application in ocean modelling

基于动态自适应网格的开源软件Gerris受到越来越多海洋和水文研究者的关注.概述了Gerris开发背景、研究现状和特点,详细阐述了Gerris数值方案,包括动态自适应网格、动态负载平衡技术原理、广义正交曲线坐标系、内嵌复杂固体边界和地形数据的处理方法,并探讨了Gerris在海洋数值模拟中的初步应用.结果表明,Gerris动态自适应网格在多尺度问题模拟中的优势独特,在海洋数值模拟应用中可通过自适应网格提高地理特征的精度,通过GTS(或KDT)格式的数据来处理地形和网格,达到同时兼顾精确性和易用性的目的,使得Gerris与其他海洋模式进行有机结合成为重要发展方向.

As an open source software based on dynamic quad / octrees adaptive mesh,Gerris receives more and more interest from researchers in ocean and hydrology. This paper reviews the development background,research status,main features of Gerris. Numerical scheme of Gerris,including dynamic quad / octrees adaptive grid,dynamic load-balancing technique,general orthogonal curvilinear coordinates,embedded complex geometries and topography,are described in detail. Preliminary applications of Gerris in the numerical investigation of ocean modelling are also demonstrated. Results show that dynamic adaptive grid has a unique advantage in terms of solving multi-scale problems. Precision of geographic features in ocean modelling can be improved by applications of adaptive grid. Handling terrain and grid through data in GTS（ or KDT） format can meet the requirements in both accuracy and usability. As a result,combining Gerris with other ocean models has become an important direction in Gerris future development.