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Dynamically adaptive tree grid modeling for simulation and visualization of rainwater overland flow
Authors:Anurak Busaman  Khamron Mekchay  Suchada Siripant  Somporn Chuai‐Aree
Institution:1. Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok, Thailand;2. Department of Mathematics and Computer Science, Faculty of Science and Technology, Prince of Songkla University, Muang, Pattani, Thailand
Abstract:Modeling and visualization of a rainwater overland flow is an important tool for a risk assessment, preparation, evacuation planning, and real‐time forecasting of flood warning. The objective of this research is to develop a numerical software to visualize the rainwater overland flow based on a finite volume method for shallow water equations and in combination with the dynamically adaptive tree grid technique and the dynamic domain‐defining method. The obtained simulations for several experiments were tested and compared with results in literature, both theoretical and experimental results. The comparisons with non‐adaptive grids show that the developed algorithm for simulation is very efficient and has a potential for practical usages, in terms of computational times and accuracy. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:hydrostatic reconstruction  rainwater overland flow  well‐balanced method  adaptive grids  dynamic domain‐defining method
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