期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 77, 期 2, 页码 576-596出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.09.059
关键词
Finite volume method; MUSCL scheme; Shallow water; Total variation diminishing; Unstructured grids
资金
- China Scholarship Council
- TU Berlin, Germany
- EPSRC [EP/K000314/1, EP/L010917/1, EP/N021614/1, EP/I019308/1] Funding Source: UKRI
This paper describes an improved vector manipulation multislope monotone upstream-centred scheme for conservation laws (MUSCL) reconstruction for solving the shallow water equations on unstructured grids. This improved MUSCL reconstruction method includes a bigger stencil for the interpolation and saves time for determining the geometric relations compared to the original vector manipulation method, so it is computationally more efficient and straightforward to implement. Four examples involving an analytical solution, laboratory experiments and field-scale measurements are used to test the performance of the proposed scheme. It has been proven that the proposed scheme can provide comparable accuracy and higher efficiency compared to the original vector manipulation method. With the increasing of the number of cells, the advantage of the proposed scheme becomes more apparent. (C) 2018 Elsevier Ltd. All rights reserved.
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