气候变化领域集成服务门户(CCPortal): Multiwavelet-based mesh adaptivity with Discontinuous Galerkin schemes: Exploring 2D shallow water problems

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DOI	10.1016/j.advwatres.2020.103559
	Multiwavelet-based mesh adaptivity with Discontinuous Galerkin schemes: Exploring 2D shallow water problems
	Caviedes-Voullième D.; Gerhard N.; Sikstel A.; Müller S.
发表日期	2020
ISSN	0309-1708
卷号	138
英文摘要	In Gerhard et al. (2015a) a new class of adaptive Discontinuous Galerkin schemes has been introduced for shallow water equations, including the particular necessary properties, such as well-balancing and wetting-drying treatments. The adaptivity strategy is based on multiresolution analysis using multiwavelets in order to encode information across different mesh resolution levels. In this work, we follow-up on the previous proof-of-concept to thoroughly explore the performance, capabilities and weaknesses of the adaptive numerical scheme in the two-dimensional shallow water setting, under complex and realistic problems. To do so, we simulate three well-known and frequently used experimental benchmark tests in the context of flood modelling, ranging from laboratory to field scale. The real and complex topographies result in complex flow fields which pose a greater challenge to the adaptive numerical scheme and are computationally more ambitious, thus requiring a parallelised version of the aforementioned scheme. The benchmark tests allow to examine in depth the resulting adaptive meshes and the hydrodynamic performance of the scheme. We show that the scheme presented by Gerhard et al. (2015a) is accurate, i.e., allows to capture simultaneously large and very small flow structures, is robust, i.e., local grid refinement is controlled by just one parmeter that is auotmatically chosen and is more efficient in terms of the adaptive meshes than other shallow-water adaptive schemes achieving higher resolution with less cells. © 2020 Elsevier Ltd
关键词	Benchmarking Equations of motion Mesh generation Multiresolution analysis Discontinuous galerkin Dynamic-adaptive High-order scheme Multi-wavelets Shallow water equations Galerkin methods benchmarking flood Galerkin method hydrodynamics resolution shallow-water equation wavelet analysis
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131828
推荐引用方式 GB/T 7714	Caviedes-Voullième D.,Gerhard N.,Sikstel A.,et al. Multiwavelet-based mesh adaptivity with Discontinuous Galerkin schemes: Exploring 2D shallow water problems[J]. Advances in Water Resources,2020,138.
APA	Caviedes-Voullième D.,Gerhard N.,Sikstel A.,&Müller S..(2020).Multiwavelet-based mesh adaptivity with Discontinuous Galerkin schemes: Exploring 2D shallow water problems.,138.
MLA	Caviedes-Voullième D.,et al."Multiwavelet-based mesh adaptivity with Discontinuous Galerkin schemes: Exploring 2D shallow water problems".138(2020).