Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels
This research goal to compare the flow properties in the rectangular and trapezoidal open channels by examining the influence of the channel side slope is depicted by simplified Saint Venant Equations. The solution of these equations has been completed numerically by using Preissmann four-point sche...
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| Format: | Article |
| Language: | English |
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Research Center of Inorganic Materials and Coordination Complexes, Universitas Sriwijaya
2024-01-01
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| Series: | Science and Technology Indonesia |
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| Online Access: | https://sciencetechindonesia.com/index.php/jsti/article/view/858/391 |
| _version_ | 1797348539283537920 |
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| author | Bambang Agus Sulistyono Suryo Widodo |
| author_facet | Bambang Agus Sulistyono Suryo Widodo |
| author_sort | Bambang Agus Sulistyono |
| collection | DOAJ |
| description | This research goal to compare the flow properties in the rectangular and trapezoidal open channels by examining the influence of the channel side slope is depicted by simplified Saint Venant Equations. The solution of these equations has been completed numerically by using Preissmann four-point scheme. The model is simulated using the Matlab application to point out the flow properties. The proposed model is validated by the model without simplification which was selected from the literature. The validation outcomes indicate that in common, the simulation outcomes of the two models have a good agreement. The simulation results show that the greater the slope of the channel side, the greater the peak discharge and the greater the time shift. The analysis emphasizes how channel geometry influences flow behavior, indicating that trapezoidal channels, with inclined side slopes z, yield slightly higher peak discharges compared to rectangular ones. For z = 0, discharge of peak Q = 7.38 m3/s and t = 18 s. For z = 2, discharge of peak Q = 7.39 m3/s and t = 21 s. For z = 4, discharge of peak Q = 7.45 m3/s and t = 23 s. For z = 6, discharge of peak Q = 7.51 m3/s and t = 24 s. |
| first_indexed | 2024-03-08T12:07:26Z |
| format | Article |
| id | doaj.art-1f0ef79299e34d4a9bf08320d1a72524 |
| institution | Directory Open Access Journal |
| issn | 2580-4405 2580-4391 |
| language | English |
| last_indexed | 2024-03-08T12:07:26Z |
| publishDate | 2024-01-01 |
| publisher | Research Center of Inorganic Materials and Coordination Complexes, Universitas Sriwijaya |
| record_format | Article |
| series | Science and Technology Indonesia |
| spelling | doaj.art-1f0ef79299e34d4a9bf08320d1a725242024-01-23T05:09:13ZengResearch Center of Inorganic Materials and Coordination Complexes, Universitas SriwijayaScience and Technology Indonesia2580-44052580-43912024-01-019118318810.26554/sti.2024.9.1.183-188Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open ChannelsBambang Agus Sulistyono0Suryo Widodo1Department of Mathematics Education, Faculty of Health and Science, University of Nusantara PGRI Kediri, Kediri, 64112, IndonesiaDepartment of Mathematics Education, Faculty of Health and Science, University of Nusantara PGRI Kediri, Kediri, 64112, IndonesiaThis research goal to compare the flow properties in the rectangular and trapezoidal open channels by examining the influence of the channel side slope is depicted by simplified Saint Venant Equations. The solution of these equations has been completed numerically by using Preissmann four-point scheme. The model is simulated using the Matlab application to point out the flow properties. The proposed model is validated by the model without simplification which was selected from the literature. The validation outcomes indicate that in common, the simulation outcomes of the two models have a good agreement. The simulation results show that the greater the slope of the channel side, the greater the peak discharge and the greater the time shift. The analysis emphasizes how channel geometry influences flow behavior, indicating that trapezoidal channels, with inclined side slopes z, yield slightly higher peak discharges compared to rectangular ones. For z = 0, discharge of peak Q = 7.38 m3/s and t = 18 s. For z = 2, discharge of peak Q = 7.39 m3/s and t = 21 s. For z = 4, discharge of peak Q = 7.45 m3/s and t = 23 s. For z = 6, discharge of peak Q = 7.51 m3/s and t = 24 s.https://sciencetechindonesia.com/index.php/jsti/article/view/858/391prismatic channel flowsimplified saint-venant equationspreissmann four-point schemeflow properties |
| spellingShingle | Bambang Agus Sulistyono Suryo Widodo Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels Science and Technology Indonesia prismatic channel flow simplified saint-venant equations preissmann four-point scheme flow properties |
| title | Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels |
| title_full | Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels |
| title_fullStr | Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels |
| title_full_unstemmed | Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels |
| title_short | Preissmann Four-Point Methods for Solution of Simplified Saint-Venant Equations Applied to Flood Routing in Prismatic Open Channels |
| title_sort | preissmann four point methods for solution of simplified saint venant equations applied to flood routing in prismatic open channels |
| topic | prismatic channel flow simplified saint-venant equations preissmann four-point scheme flow properties |
| url | https://sciencetechindonesia.com/index.php/jsti/article/view/858/391 |
| work_keys_str_mv | AT bambangagussulistyono preissmannfourpointmethodsforsolutionofsimplifiedsaintvenantequationsappliedtofloodroutinginprismaticopenchannels AT suryowidodo preissmannfourpointmethodsforsolutionofsimplifiedsaintvenantequationsappliedtofloodroutinginprismaticopenchannels |