Numerical Simulation of Flood Routing through Channels with Area Variation using Staggered Grid Method

Bambang Agus Sulistyono (Department of Mathematics Education, Faculty of Health and Science, Nusantara University PGRI Kediri, 64112, Indonesia)
Samijo (Department of Mathematics Education, Faculty of Health and Science, Nusantara University PGRI Kediri, 64112, Indonesia)
Aan Nurfahrudianto (Department of Mathematics Education, Faculty of Health and Science, Nusantara University PGRI Kediri, 64112, Indonesia)
Dian Devita Yohanie (Department of Mathematics Education, Faculty of Health and Science, Nusantara University PGRI Kediri, 64112, Indonesia)
Aprilia Dwi Handayani (Department of Mathematics Education, Faculty of Health and Science, Nusantara University PGRI Kediri, 64112, Indonesia)

Science and Technology Indonesia
Vol. 6 No. 4 (2021): October

In the event that the discharge goes to enter the channel surpasses the channel ability, than would happen floods of genuine harm to the environment around the channel. Applying the dynamic wave model, the discharge amount could be predicted in the frequent flood region if the information of discharge upstream is found out. Many numerical schemes could be utilized to discover answers to the system of differential partial equations. We proposed the usage of the staggered method to find out the solution of the system. The numerical scheme shall be used to predict the top discharge in a frequent flood region and create a flooded pocket to diminish the top discharge in the region. Based on the outcome of the numerical simulation, we may claim that a stable scheme has been created to acquire the approach resolve of the equation partial system. The staggered scheme is capable of investigating the impact of the presence of the flood pocket especially lessening the top discharge.