Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids
This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numeri...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7528625 |
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| _version_ | 1841524819070287872 |
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| author | Sudi Mungkasi |
| author_facet | Sudi Mungkasi |
| author_sort | Sudi Mungkasi |
| collection | DOAJ |
| description | This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numerical simulations show that NEP is successful to be a refinement/coarsening indicator in the adaptive mesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions. |
| format | Article |
| id | doaj-art-01ae0db0a6204833bf5ddc307ef20403 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-01ae0db0a6204833bf5ddc307ef204032025-02-03T05:47:19ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/75286257528625Adaptive Finite Volume Method for the Shallow Water Equations on Triangular GridsSudi Mungkasi0Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta 55002, IndonesiaThis paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numerical simulations show that NEP is successful to be a refinement/coarsening indicator in the adaptive mesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.http://dx.doi.org/10.1155/2016/7528625 |
| spellingShingle | Sudi Mungkasi Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids Advances in Mathematical Physics |
| title | Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids |
| title_full | Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids |
| title_fullStr | Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids |
| title_full_unstemmed | Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids |
| title_short | Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids |
| title_sort | adaptive finite volume method for the shallow water equations on triangular grids |
| url | http://dx.doi.org/10.1155/2016/7528625 |
| work_keys_str_mv | AT sudimungkasi adaptivefinitevolumemethodfortheshallowwaterequationsontriangulargrids |