A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme
This study proposes a numerical model for depth-averaged Reynolds equations (shallow-water equations) to investigate a dam-break problem, based upon a two-dimensional (2D) second-order upwind cell-centre finite volume method. The transportation terms were modelled using a modified approximate HLLC R...
| Main Authors: | , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-11-01
|
| Series: | Water |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4441/15/21/3841 |
| _version_ | 1797631220450852864 |
|---|---|
| author | Mohammad Milad Salamttalab Behnam Parmas Hedi Mustafa Alee Farhad Hooshyaripor Ali Danandeh Mehr Hamidreza Vosoughifar Seyed Abbas Hosseini Mohsen Maghrebi Roohollah Noori |
| author_facet | Mohammad Milad Salamttalab Behnam Parmas Hedi Mustafa Alee Farhad Hooshyaripor Ali Danandeh Mehr Hamidreza Vosoughifar Seyed Abbas Hosseini Mohsen Maghrebi Roohollah Noori |
| author_sort | Mohammad Milad Salamttalab |
| collection | DOAJ |
| description | This study proposes a numerical model for depth-averaged Reynolds equations (shallow-water equations) to investigate a dam-break problem, based upon a two-dimensional (2D) second-order upwind cell-centre finite volume method. The transportation terms were modelled using a modified approximate HLLC Riemann solver with the first-order accuracy. The proposed 2D model was assessed and validated through experimental data and analytical solutions for several dam-break cases on a wet and dry bed. The results showed that the error values of the model are lower than those of existing numerical methods at different points. Our findings also revealed that the dimensionless error parameters decrease as the wave propagates downstream. In general, the new model can model the dam-break problem and captures the shock wave superbly. |
| first_indexed | 2024-03-11T11:18:48Z |
| format | Article |
| id | doaj.art-b4c5c3433b544951a18f5a9dcf5e28b6 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-11T11:18:48Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-b4c5c3433b544951a18f5a9dcf5e28b62023-11-10T15:15:30ZengMDPI AGWater2073-44412023-11-011521384110.3390/w15213841A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC SchemeMohammad Milad Salamttalab0Behnam Parmas1Hedi Mustafa Alee2Farhad Hooshyaripor3Ali Danandeh Mehr4Hamidreza Vosoughifar5Seyed Abbas Hosseini6Mohsen Maghrebi7Roohollah Noori8School of Civil Engineering, Iran University of Science and Technology, Narmak, Tehran 1684613114, IranDepartment of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran 14515, IranDepartment of Road and Construction, Erbil Technology College, Erbil Polytechnic University, Erbil 44001, IraqDepartment of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran 14515, IranCivil Engineering Department, Antalya Bilim University, Antalya 07190, TurkeyCivil and Environmental Engineering, University of Hawaii at Manoa, Manoa, HI 96822, USADepartment of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran 14515, IranGraduate Faculty of Environment, University of Tehran, Tehran 1417853111, IranGraduate Faculty of Environment, University of Tehran, Tehran 1417853111, IranThis study proposes a numerical model for depth-averaged Reynolds equations (shallow-water equations) to investigate a dam-break problem, based upon a two-dimensional (2D) second-order upwind cell-centre finite volume method. The transportation terms were modelled using a modified approximate HLLC Riemann solver with the first-order accuracy. The proposed 2D model was assessed and validated through experimental data and analytical solutions for several dam-break cases on a wet and dry bed. The results showed that the error values of the model are lower than those of existing numerical methods at different points. Our findings also revealed that the dimensionless error parameters decrease as the wave propagates downstream. In general, the new model can model the dam-break problem and captures the shock wave superbly.https://www.mdpi.com/2073-4441/15/21/3841dam-breakfinite volume methodanalytical solutionshallow water equationsshock capturing |
| spellingShingle | Mohammad Milad Salamttalab Behnam Parmas Hedi Mustafa Alee Farhad Hooshyaripor Ali Danandeh Mehr Hamidreza Vosoughifar Seyed Abbas Hosseini Mohsen Maghrebi Roohollah Noori A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme Water dam-break finite volume method analytical solution shallow water equations shock capturing |
| title | A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme |
| title_full | A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme |
| title_fullStr | A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme |
| title_full_unstemmed | A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme |
| title_short | A Finite Volume Method for a 2D Dam-Break Simulation on a Wet Bed Using a Modified HLLC Scheme |
| title_sort | finite volume method for a 2d dam break simulation on a wet bed using a modified hllc scheme |
| topic | dam-break finite volume method analytical solution shallow water equations shock capturing |
| url | https://www.mdpi.com/2073-4441/15/21/3841 |
| work_keys_str_mv | AT mohammadmiladsalamttalab afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT behnamparmas afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT hedimustafaalee afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT farhadhooshyaripor afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT alidanandehmehr afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT hamidrezavosoughifar afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT seyedabbashosseini afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT mohsenmaghrebi afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT roohollahnoori afinitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT mohammadmiladsalamttalab finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT behnamparmas finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT hedimustafaalee finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT farhadhooshyaripor finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT alidanandehmehr finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT hamidrezavosoughifar finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT seyedabbashosseini finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT mohsenmaghrebi finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme AT roohollahnoori finitevolumemethodfora2ddambreaksimulationonawetbedusingamodifiedhllcscheme |