Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels

Floods, which cause a lot of damage, are a natural phenomenon that often occurs during the rainy season. Flood occurs because the discharge entering the channel exceeds the channel capacity. If the discharge data in the upstream area that will enter the channel is known, we can determine the flow be...

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Main Authors: Bambang Agus Sulistyono, Samijo Samijo, Dian Devita Yohanie
Format: Article
Language:English
Published: UIN Syarif Hidayatullah 2021-11-01
Series:InPrime
Subjects:
Online Access:https://journal.uinjkt.ac.id/index.php/inprime/article/view/19747
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author Bambang Agus Sulistyono
Samijo Samijo
Dian Devita Yohanie
author_facet Bambang Agus Sulistyono
Samijo Samijo
Dian Devita Yohanie
author_sort Bambang Agus Sulistyono
collection DOAJ
description Floods, which cause a lot of damage, are a natural phenomenon that often occurs during the rainy season. Flood occurs because the discharge entering the channel exceeds the channel capacity. If the discharge data in the upstream area that will enter the channel is known, we can determine the flow behavior in the downstream area using a mathematical model. In this study, we proposed using simplified Saint Venant equations to simulate the flow routing in a prismatic channel with a rectangular section. This model is solved numerically using the finite difference method. Here, the numerical scheme used succeeds in simulating the flow behavior in the channel due to the discharge entering it. The simulation results show that the discharge entering the channel will propagate downstream with decreasing discharge quantity. Information on the amount of discharge at locations along the channel is useful as supporting data for flood control and prevention systems that will be conveyed to residents along the channel. Keywords: flood routing; prismatic channel; Saint Venant Equations; finite difference method.   Abstrak Banjir yang menimbulkan banyak kerusakan merupakan fenomena alam yang sering terjadi pada musim hujan. Banjir terjadi karena debit yang masuk ke dalam kanal melebihi kapasitas kanalnya. Jika data debit di daerah hulu yang akan masuk ke dalam kanal diketahui, maka kita dapat menentukan perilaku aliran di daerah hilir dengan menggunakan model matematika. Dalam studi ini, kami mengusulkan untuk menggunakan persamaan Saint Venant yang disederhanakan untuk mensimulasikan penelusuran aliran pada saluran prismatik dengan penampang persegi panjang. Model ini diselesaikan secara numerik dengan menggunakan metode beda hingga. Di sini, skema numerik yang digunakan berhasil mensimulasikan perilaku aliran pada saluran akibat debit yang masuk. Hasil simulasi menunjukkan bahwa debit yang masuk ke saluran akan merambat ke hilir dengan kuantitas debit yang semakin berkurang. Informasi jumlah debit di lokasi sepanjang saluran ini berguna sebagai data pendukung pada sistem pengendalian dan pencegahan banjir yang akan disampaikan kepada penduduk di sepanjang kanal. Kata kunci: penelusuran banjir; saluran prismatik; persamaan Saint Venant; metode beda hingga.
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spelling doaj.art-53ccbdeaa44a47e7ba4ece58c02003fe2024-02-28T02:16:03ZengUIN Syarif HidayatullahInPrime2686-53352716-24782021-11-0132637410.15408/inprime.v3i2.197478309Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular ChannelsBambang Agus Sulistyono0Samijo Samijo1Dian Devita Yohanie2Universitas Nusantara PGRI KediriUniversitas Nusantara PGRI KediriUniversitas Nusantara PGRI KediriFloods, which cause a lot of damage, are a natural phenomenon that often occurs during the rainy season. Flood occurs because the discharge entering the channel exceeds the channel capacity. If the discharge data in the upstream area that will enter the channel is known, we can determine the flow behavior in the downstream area using a mathematical model. In this study, we proposed using simplified Saint Venant equations to simulate the flow routing in a prismatic channel with a rectangular section. This model is solved numerically using the finite difference method. Here, the numerical scheme used succeeds in simulating the flow behavior in the channel due to the discharge entering it. The simulation results show that the discharge entering the channel will propagate downstream with decreasing discharge quantity. Information on the amount of discharge at locations along the channel is useful as supporting data for flood control and prevention systems that will be conveyed to residents along the channel. Keywords: flood routing; prismatic channel; Saint Venant Equations; finite difference method.   Abstrak Banjir yang menimbulkan banyak kerusakan merupakan fenomena alam yang sering terjadi pada musim hujan. Banjir terjadi karena debit yang masuk ke dalam kanal melebihi kapasitas kanalnya. Jika data debit di daerah hulu yang akan masuk ke dalam kanal diketahui, maka kita dapat menentukan perilaku aliran di daerah hilir dengan menggunakan model matematika. Dalam studi ini, kami mengusulkan untuk menggunakan persamaan Saint Venant yang disederhanakan untuk mensimulasikan penelusuran aliran pada saluran prismatik dengan penampang persegi panjang. Model ini diselesaikan secara numerik dengan menggunakan metode beda hingga. Di sini, skema numerik yang digunakan berhasil mensimulasikan perilaku aliran pada saluran akibat debit yang masuk. Hasil simulasi menunjukkan bahwa debit yang masuk ke saluran akan merambat ke hilir dengan kuantitas debit yang semakin berkurang. Informasi jumlah debit di lokasi sepanjang saluran ini berguna sebagai data pendukung pada sistem pengendalian dan pencegahan banjir yang akan disampaikan kepada penduduk di sepanjang kanal. Kata kunci: penelusuran banjir; saluran prismatik; persamaan Saint Venant; metode beda hingga.https://journal.uinjkt.ac.id/index.php/inprime/article/view/19747flood routingprismatic channelsaint venant equationsfinite difference method
spellingShingle Bambang Agus Sulistyono
Samijo Samijo
Dian Devita Yohanie
Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels
InPrime
flood routing
prismatic channel
saint venant equations
finite difference method
title Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels
title_full Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels
title_fullStr Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels
title_full_unstemmed Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels
title_short Numerical Simulation of Flood Routing using the Simplified Saint Venant Equations in Rectangular Channels
title_sort numerical simulation of flood routing using the simplified saint venant equations in rectangular channels
topic flood routing
prismatic channel
saint venant equations
finite difference method
url https://journal.uinjkt.ac.id/index.php/inprime/article/view/19747
work_keys_str_mv AT bambangagussulistyono numericalsimulationoffloodroutingusingthesimplifiedsaintvenantequationsinrectangularchannels
AT samijosamijo numericalsimulationoffloodroutingusingthesimplifiedsaintvenantequationsinrectangularchannels
AT diandevitayohanie numericalsimulationoffloodroutingusingthesimplifiedsaintvenantequationsinrectangularchannels