Document Type : Research Paper

Authors

1 University of Birjand

2 Assistant Professor of Civil Engineering Department, University of Birjand, Birjand, Iran.

3 Professor of Civil Engineering Department, University of Birjand, Birjand, Iran.

Abstract

Due to the difficulty in measurement of transverse velocity in floods, it is necessary to use appropriate models for this aim. Hydrodynamic complexity of the flow in the middle of the flood is another reason for usage of precise models. Accurate prediction of flows is very difficult due to the complexity of its nature and the lack of accurate data. Here, two-dimensional modeling of the flood has been done using the finite element method (FEM). The case study is a real field river. The achieved results from the finite element model are compared with the observational data at three stations. In order to evaluate the model performance, the root mean square error (RMSE) is calculated. The relative error and the RMSE are 0.143 and 0.229 m, respectively. This amount of value indicates the high accuracy of the proposed model. In addition, computational cost including time spending and efficiency of FEM is satisfactory and this model can be used as a good tool for flow simulation.

Keywords

Main Subjects

Abril, J. B. (2002). Overbank flood routing analysis applying jointly variable parameter diffusion and depth-averaged flow finite element models. Proceedings of the International Conference on Fluvial Hydraulics. Belgium. 161-167.
Anderson, M., Woessner, W., & Hunt, R. (2015), Applied Groundwater Modeling Second Edition: Simulation of Flow and advective Transport in 2nd. Academic Press, 133-135.
Ayoubzadeh, S. A., & Zahiri, A. (2003). New method of envelope sections in studying of flow hydraulics of river compound channels using 2-D model. International Journal of Engineering Science. 14(2), 103-116. (In Persian)
Barzegaran, M., Mehdizadeh, H., & Pour Esmail, S. (2017). Numerical analysis of bed sediment with shallow water equations using reinforced Riemann method, 2nd International Conference on Civil Engineering, Architecture and Crisis Management, Tehran.
Bates, P. O., Hervouet, J. M., & Anderson, M. G., (1994). Computation of a flood event using a two dimensional finite element model and its
comparison to field data. American Society of
Civil Engineers
, New York, 243-256.
Behzadi, F., & Newman III, J. C. (2020). An exact source-term balancing scheme on the finite element solution of shallow water equations. Computer Methods in Applied Mechanics and Engineering, 359, 112662.
Berger R. C. & Stockstill R. L. (1995). Finite-Element Model for High-Velocity Channel. Journal of Hydraulic Engineering, 121(10), 710-716.
Deymevar, S and Akbarpour, A. (2017). Modeling Dam Failure Using Petrov-Galerkin meshless Method and Shallow Water Equations, Master Thesis, University of Birjand, Birjand, Iran.
Fread, D. L. (1985). Channel routing. Hydrological forecasting/edited by MG Anderson and TP Burt.
Gee, D.M., Anderson, M.G., & Baird, L. (1990). Large scale floodplain modelling Earth Surface, Processes and Landforms, 15,512-523
Ghobadian, R., & Mehrmousavi, Z. (2019). Numerical Simulation of Strip Irrigation Using Solving Shallow Water Equations in Two-Dimensional Line Curve Coordinates, First International Congress and Fourth National Iranian Irrigation and Drainage Congress, Urmia.
Izem, N., & Seaid, M. (2021). A well-balanced Runge-Kutta discontinuous Galerkin method for multilayer shallow water equations with non-flat bottom topography. Advances in Applied Mathematics and Mechanics. 14(3): 725-758.
Khorashadizadeh, M., Azizyan, G., Hashemimanfared, S. A., & Akbarpour, A. (2018). Sensitivity analysis of two-dimensional pollution transport model parameters in shallow water using RSA method. Iranian Journal Soil Water Research, 49(5), 1119-1129.
Rates, P.D., & Wilson, C.A.M.E., Hervouet, J. M., & Stewart, M. D. (1999). Two dimensional finite element modelling of floodplain flow, Environment, 85(3-4), 82-88.
Shiono, K., & Knight, D.W. (1991). Turbulent open-channel flows with variable depth across the channel. Journal of Fluid Mechanic. 222, 617-646.
Vreugdenhil, C. B. (1994). Numerical Methods for Shallow-Water Flow (Vol. 13). Springer Science & Business Media.