ABSTRACT:In this study a numerical algorithm is developed for simulation and visualization of rainfall overland flows on natural topography. The algorithm is constructed based on the diffusion model of water flow which is solved numerically using an adaptive tree grid finite volume method which is equipped with dynamic domain defining. The developed algorithm is tested to simulate and visualize rainfall overland flows on natural topography showing the advantages of the algorithm in terms of computational costs and the simulation times without losing much accuracy in the results.
KEYWORDS: finite volume method, dynamic domain defining method, visualizationMSC2010: 65C20 68U20 76R50 80M12 76M12
Dam-break floods are a serious disaster. This study aims to simulate and model the Mae Suai dam-break flood using shallow water equations (SWE) with an adaptive tree grid finite volume method, and determine the relationship between the initial water levels in the dam and the simulation results set regarding arrival times and maximum water depths using a polynomial model. We used elevation data obtained from the Shuttle Radar Topography Mission. The method was evaluated using the Xe-Pian dam-break flood simulation. The numerical results of water propagation was in agreement with the satellite image. The SWE and numerical algorithm was then used for the Mae Suai dam-break flood simulation. The numerical solution sets were approximated by a polynomial function of appropriate degree for flood arrival times and maximum water depth. Comparisons showed that the polynomial model results were similar to the SWE results; however, the proposed method was more efficient and can obtain a flood risk map without the need to fully solve the SWE. The method can also be applied for dam-break flood simulations and models in other regions using information from the dam.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.