Abstract
Flood simulation of a region in southern Thailand during January 2017 is presented in this work. The study area covers the Tapi river, the longest river in southern Thailand. The simulation is performed by applying the two-dimensional shallow water model in the presence of strong source terms to the local bottom topography. The model is solved numerically by our finite volume method with well-balanced property and linear reconstruction technique. This technique is accurate and efficient at solving for complex flows in the wet/dry interface problem. Measurements of flows are collected from two gauging stations in the area. The initial conditions are prepared to match the simulated flow to the measurements recorded at the gauging stations. The accuracy of the numerical simulations is demonstrated by comparing the simulated flood area to satellite images from the same period. The results are in good agreement, indicating the suitability of the shallow water model and the presented numerical method for simulating floodplain inundation.
Highlights
To simulate flooding over an affected area of terrain, the twodimensional shallow water model is one of the most efficient models
To obtain a more accurate approximation, the weighted average flux (WAF) has been introduced [4, 5,6,7,8,9,10, 11]. e WAF approximation is widely applied to the finite volume method
We will apply the finite volume method with the WAF approximation for simulating a flood. e accuracy of numerical scheme depends on the method for approximating the bottom slope as discussed in [5]
Summary
To simulate flooding over an affected area of terrain, the twodimensional shallow water model is one of the most efficient models. We will apply the finite volume method with the WAF approximation for simulating a flood. E structured rectangular meshes are used due to its simple structure to develop a well-balanced WAF finite volume scheme [7, 10, 14, 15] This kind of discretization can be applied directly to simulate real flood using the digital elevation model (DEM) from [16]. We have to solve the nonlinear model that interacts with the nonlinear source term from the bottom topography In this case, we improve the accuracy of numerical results by applying a linear reconstruction [1,2,3] for both water depth and bottom profile.
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