Department of Earth Science and Engineering, Imperial College London, London, UK.
Philos Trans A Math Phys Eng Sci. 2009 Nov 28;367(1907):4591-611. doi: 10.1098/rsta.2009.0155.
Research into the use of unstructured mesh methods in oceanography has been growing steadily over the past decade. The advantages of this approach for domain representation and non-uniform resolution are clear. However, a number of issues remain, in particular those related to the computational cost of models produced using unstructured mesh methods compared with their structured mesh counterparts. Mesh adaptivity represents an important means to improve the competitiveness of unstructured mesh models, where high resolution is only used when and where necessary. In this paper, an optimization-based approach to mesh adaptivity is described where emphasis is placed on capturing anisotropic solution characteristics. Comparisons are made between the results obtained with uniform isotropic resolution, isotropic adaptive resolution and fully anisotropic adaptive resolution.
在过去的十年中，人们对非结构网格方法在海洋学中的应用进行了大量研究。这种方法在区域表示和非均匀分辨率方面具有明显的优势。然而，仍有一些问题需要解决，特别是与使用非结构网格方法与结构网格方法相比，模型的计算成本相关的问题。网格自适应是提高非结构网格模型竞争力的重要手段，只有在需要时才在高分辨率区域使用。本文介绍了一种基于优化的网格自适应方法，重点在于捕捉各向异性解的特征。对均匀各向同性分辨率、各向同性自适应分辨率和完全各向异性自适应分辨率的结果进行了比较。
