NDLI: Development and Testing of 2D Finite Difference Model in Open Channels

Content Provider	Springer Nature Link
Author	An, Dang Truong Deog, Park Sang
Copyright Year	2016
Abstract	This study develops a depth-averaged two-dimensional (2D) numerical model using a finite difference method (FDM) on a staggered grid. The governing equations were solved using the Marker and Cell method that was developed at the Los Alamos laboratories by Harlow and Welch in 1965. In the paper, an explicit FDM was used to solve the governing equations. A first-order approximation was used for the temporal derivative. Second-order central difference approximations were used for space discretization. The time step is limited by the Courant–Friedrichs–Lewy (CFL) condition. The time step used in this study depends on the grid spacing and velocity components in the x- and y-directions. The study is divided into two steps: the first step is to develop a depth-averaged 2D numerical model to simulate the flow process. The second constructs a module to calculate the bed load transport and simulate the river morphology in the areas that have steep slopes, torrents, and mountain rivers. Developed model was applied to the artificial channel and a flood event in the Asungjun River section of the mountainous Yangyang Namdae River (South Korea). General simulation results showed that the developed model was in good agreement with the observed data.
Starting Page	91
Ending Page	100
Page Count	10
File Format	PDF
ISSN	14202026
Journal	Environmental Modeling & Assessment
Volume Number	22
Issue Number	1
e-ISSN	15732967
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-06-22
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical model Finite difference Staggered grid Depth-averaged Open channels Math. Application in Environmental Science Mathematical Modeling and Industrial Mathematics Operation Research/Decision Theory Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Environmental Science

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