Anisotropic mesh adaptivity for multi-scale ocean modelling

Anisotropic mesh adaptivity for multi-scale ocean modelling
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DOI:
10.1098/rsta.2009.0155
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发表时间:
2009-11
期刊:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子:
--
通讯作者:
M. Piggott;P. Farrell;Cian R. Wilson;G. Gorman;C. Pain
M. Piggott;P. Farrell;Cian R. Wilson;G. Gorman;C. Pain
中科院分区:
其他
文献类型:
--
作者:
M. Piggott;P. Farrell;Cian R. Wilson;G. Gorman;C. Pain

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在过去十年中,对海洋学中使用非结构化网格方法的研究一直在稳步增长。这种方法对于域表示和非均匀分辨率的优点是显而易见的。然而,一些问题仍然存在,特别是那些与使用非结构化网格方法产生的模型的计算成本相比,其结构化网格对应。网格自适应是提高非结构化网格模型竞争力的重要手段,其中高分辨率仅在必要时使用。在本文中,一个基于优化的方法,网格自适应重点放在捕捉各向异性的解决方案的特点。比较了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。
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.