Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation
A two-dimensional (2D) dam-break flow numerical model was developed based on the finite-volume total variation diminishing (TVD) and monotone upstream-centered scheme for conservation laws (MUSCL)-Hancock scheme, which has second-order accuracy in both time and space. A Harten-Lax-van Leer-contact (...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-01-01
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| Series: | Water Science and Engineering |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1674237018300255 |
| _version_ | 1818983875986063360 |
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| author | Feng-peng Bai Zhong-hua Yang Wu-gang Zhou |
| author_facet | Feng-peng Bai Zhong-hua Yang Wu-gang Zhou |
| author_sort | Feng-peng Bai |
| collection | DOAJ |
| description | A two-dimensional (2D) dam-break flow numerical model was developed based on the finite-volume total variation diminishing (TVD) and monotone upstream-centered scheme for conservation laws (MUSCL)-Hancock scheme, which has second-order accuracy in both time and space. A Harten-Lax-van Leer-contact (HLLC) approximate Riemann solver was used to evaluate fluxes. The TVD MUSCL-Hancock numerical scheme utilizes slope limiters, such as the minmod, double minmod, superbee, van Albada, and van Leer limiters, to prevent spurious oscillations and maintain monotonicity near discontinuities. A comparative study of the impact of various slope limiters on the accuracy of the numerical flow model was conducted with several dam-break examples including wet and dry bed cases. The numerical results of the superbee and double minmod limiters agree better with the theoretical solution and have higher accuracy than other limiters in one-dimensional (1D) space. The ratio of the downstream water depth to the upstream water depth was used to select the proper slope limiter. For the 2D numerical model, the superbee limiter should not be used, owing to significant numerical dispersion. Keywords: Dam-break flow, TVD MUSCL-Hancock scheme, Slope limiter, Numerical accuracy, Spurious oscillation |
| first_indexed | 2024-12-20T18:10:04Z |
| format | Article |
| id | doaj.art-9340cf474bbe4d96bb14df28efede0f8 |
| institution | Directory Open Access Journal |
| issn | 1674-2370 |
| language | English |
| last_indexed | 2024-12-20T18:10:04Z |
| publishDate | 2018-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Water Science and Engineering |
| spelling | doaj.art-9340cf474bbe4d96bb14df28efede0f82022-12-21T19:30:29ZengElsevierWater Science and Engineering1674-23702018-01-011116874Study of total variation diminishing (TVD) slope limiters in dam-break flow simulationFeng-peng Bai0Zhong-hua Yang1Wu-gang Zhou2State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaCorresponding author.; State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaA two-dimensional (2D) dam-break flow numerical model was developed based on the finite-volume total variation diminishing (TVD) and monotone upstream-centered scheme for conservation laws (MUSCL)-Hancock scheme, which has second-order accuracy in both time and space. A Harten-Lax-van Leer-contact (HLLC) approximate Riemann solver was used to evaluate fluxes. The TVD MUSCL-Hancock numerical scheme utilizes slope limiters, such as the minmod, double minmod, superbee, van Albada, and van Leer limiters, to prevent spurious oscillations and maintain monotonicity near discontinuities. A comparative study of the impact of various slope limiters on the accuracy of the numerical flow model was conducted with several dam-break examples including wet and dry bed cases. The numerical results of the superbee and double minmod limiters agree better with the theoretical solution and have higher accuracy than other limiters in one-dimensional (1D) space. The ratio of the downstream water depth to the upstream water depth was used to select the proper slope limiter. For the 2D numerical model, the superbee limiter should not be used, owing to significant numerical dispersion. Keywords: Dam-break flow, TVD MUSCL-Hancock scheme, Slope limiter, Numerical accuracy, Spurious oscillationhttp://www.sciencedirect.com/science/article/pii/S1674237018300255 |
| spellingShingle | Feng-peng Bai Zhong-hua Yang Wu-gang Zhou Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation Water Science and Engineering |
| title | Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation |
| title_full | Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation |
| title_fullStr | Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation |
| title_full_unstemmed | Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation |
| title_short | Study of total variation diminishing (TVD) slope limiters in dam-break flow simulation |
| title_sort | study of total variation diminishing tvd slope limiters in dam break flow simulation |
| url | http://www.sciencedirect.com/science/article/pii/S1674237018300255 |
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