A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes
A new computational framework for multi-scale ocean modelling based on adapting unstructured meshes
复制标题
DOI：
10.1002/fld.1663
复制
发表时间：
2008-03-20
影响因子：
1.8
通讯作者：
Wells, M. R.
中科院分区：
文献类型：
--
作者：
Piggott, M. D.;Gorman, G. J.;Wells, M. R.
提出了一种新的建模框架，可应用于一系列三维 (3D) 多尺度海洋学问题。该方法基于非结构化四面体网格的有限元离散化，该网格经过优化以表示高度复杂的几何形状。在整个模拟过程中，网格会在 3D 中动态调整，以优化不断演变的解决方案结构的表示。自适应算法利用解决方案复杂性的各向异性测量和负载平衡的并行网格优化算法来改变分辨率并允许长而薄的元素与边界层等特征对齐。所提出的建模框架与当今使用的大多数海洋模型有很大不同，后者通常基于静态结构网格。然而，非结构化网格的有限元（和体积）方法在海洋学界越来越受欢迎。这里提出的模型的新颖之处在于它在 3D 中使用非结构化网格和各向异性自适应性，能够表示一系列耦合的多尺度解决方案结构并模拟非静水动力学。版权所有 (C) 2007 John Wiley & Sons, Ltd.
A new modelling framework is presented for application to a range of three-dimensional (3D) multi-scale oceanographic problems. The approach is based upon a finite element discretization on an unstructured tetrahedral mesh which is optimized to represent highly complex geometries. Throughout a simulation the mesh is dynamically adapted in 3D to optimize the representation of evolving solution structures. The adaptive algorithm makes use of anisotropic measures of solution complexity and a load-balanced parallel mesh optimization algorithm to vary resolution and allow long, thin elements to align with features such as boundary layers. The modelling framework presented is quite different from the majority of ocean models in use today, which are typically based on static-structured grids. Finite element (and volume) methods on unstructured meshes are, however, gaining popularity in the oceanographic community. The model presented here is novel in its use of unstructured meshes and anisotropic adaptivity in 3D, its ability to represent a range of coupled multi-scale solution structures and to simulate non-hydrostatic dynamics. Copyright (C) 2007 John Wiley & Sons, Ltd.