Numerical Simulation of Dam-Break Flows Using Radial Basis Functions: Application to Urban Flood Inundation  

作　　者：Abdoulhafar Halassi Bacar Said Charriffaini Rawhoudine Abdoulhafar Halassi Bacar;Said Charriffaini Rawhoudine(Laboratoire des Mathmatiques, Statistiques, Informatique et Applications (LMSIA), Dpartement des Mathmatiques, Physique-Chimie et Informatique (MPCI), Facult des Sciences et Techniques, Universit des Comores, Moroni, Comoros)

机构地区：[1]Laboratoire des Mathmatiques, Statistiques, Informatique et Applications (LMSIA), Dpartement des Mathmatiques, Physique-Chimie et Informatique (MPCI), Facult des Sciences et Techniques, Universit des Comores, Moroni, Comoros

出　　处：《American Journal of Computational Mathematics》2024年第3期318-332,共15页美国计算数学期刊（英文）

摘　　要：Dam-break flows pose significant threats to urban areas due to their potential for causing rapid and extensive flooding. Traditional numerical methods for simulating these events struggle with complex urban landscapes. This paper presents an alternative approach using Radial Basis Functions to simulate dam-break flows and their impact on urban flood inundation. The proposed method adapts a new strategy based on Particle Swarm Optimization for variable shape parameter selection on meshfree formulation to enhance the numerical stability and convergence of the simulation. The method’s accuracy and efficiency are demonstrated through numerical experiments, including well-known partial and circular dam-break problems and an idealized city with a single building, highlighting its potential as a valuable tool for urban flood risk management.Dam-break flows pose significant threats to urban areas due to their potential for causing rapid and extensive flooding. Traditional numerical methods for simulating these events struggle with complex urban landscapes. This paper presents an alternative approach using Radial Basis Functions to simulate dam-break flows and their impact on urban flood inundation. The proposed method adapts a new strategy based on Particle Swarm Optimization for variable shape parameter selection on meshfree formulation to enhance the numerical stability and convergence of the simulation. The method’s accuracy and efficiency are demonstrated through numerical experiments, including well-known partial and circular dam-break problems and an idealized city with a single building, highlighting its potential as a valuable tool for urban flood risk management.

关 键 词：Dam-Break Flows Numerical Simulation Shallow Water Equations Radial Basis Functions Urban Flood Inundation 

分 类 号：O17[理学—数学]