Discontinuous Galerkin method for the shallow water equations on complex domains using masked block-structured grids

被引：1

作者：

Faghih-Naini, Sara ^{[1
,2
]}

Kuckuk, Sebastian ^{[2
,3
]}

Zint, Daniel ^{[4
,5
]}

Kemmler, Samuel ^{[2
,6
]}

Koestler, Harald ^{[2
,3
]}

Aizinger, Vadym ^{[1
]}

机构：

[1] Univ Bayreuth, Chair Sci Comp, Bayreuth, Germany

[2] Friedrich Alexander Univ Erlangen Nurnberg, Chair Comp Sci 10, Erlangen, Germany

[3] Erlangen Natl High Performance Comp Ctr NHR FAU, Erlangen, Germany

[4] Inria Sophia Antipolis Mediterranee, Titane Team, Sophia Antipolis, France

[5] NYU, Courant Inst Math Sci, New York, NY USA

[6] BAM Fed Inst Mat Res & Testing, Div Bldg & Struct 7 2, Berlin, Germany

来源：

ADVANCES IN WATER RESOURCES | 2023年 / 182卷

关键词：

Discontinuous Galerkin method; Quadrature-free; Shallow water equations; Ocean modeling; Block-structured grids; Land-sea mask; ICE-OCEAN MODEL; SIMULATION; EFFICIENCY; TRANSPORT;

D O I：

10.1016/j.advwatres.2023.104584

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

We evaluate masked block-structured grids for ocean domains which allow to represent small-scale geometric features without resorting to very small blocks or excessive mesh resolution. The considered approach aims to combine the geometric flexibility of unstructured meshes with the computational efficiency of stencil-based discretizations and is implemented and tested in a quadrature-free discontinuous Galerkin shallow water solver. We investigate the accuracy and the computational performance of the scheme on a range of realistic ocean domains meshed with blocks of different size and provide some comparisons to results obtained on unmasked block-structured grids and unstructured meshes.

引用

页数：11

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