气候变化领域集成服务门户(CCPortal): Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes

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DOI	10.1016/j.advwatres.2020.103552
	Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes
	Faghih-Naini S.; Kuckuk S.; Aizinger V.; Zint D.; Grosso R.; Köstler H.
发表日期	2020
ISSN	0309-1708
卷号	138
英文摘要	Although discretizations of the shallow water equations (SWE) based on the discontinuous Galerkin (DG) method are well established, their computational performance still generally lags behind that of the finite volume discretizations. In explicit and semi-implicit time stepping schemes commonly used in connection with the SWE models, the most computationally expensive parts of a DG algorithm are the element and edge integrals computed via loops over quadrature points. We propose a quadrature-free DG formulation for the SWE that replaces quadrature integrations by analytical evaluations. The method is implemented within the code generation framework of the ExaStencils project using the SymPy Python library. The new formulation uses block-structured triangular meshes automatically generated for a given number of blocks. © 2020 Elsevier Ltd
关键词	Equations of motion Finite volume method Problem oriented languages Block structured Domain specific languages Local discontinuous Galerkin method Python SymPy Quadrature-free formulation Shallow water equations Galerkin methods algorithm finite volume method Galerkin method performance assessment shallow-water equation software
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/131826
推荐引用方式 GB/T 7714	Faghih-Naini S.,Kuckuk S.,Aizinger V.,et al. Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes[J]. Advances in Water Resources,2020,138.
APA	Faghih-Naini S.,Kuckuk S.,Aizinger V.,Zint D.,Grosso R.,&Köstler H..(2020).Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes.,138.
MLA	Faghih-Naini S.,et al."Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes".138(2020).