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Numerical Simulation of dam-break flows Using Radial Basis Functions: Application to Urban Flood Inundation

American Journal of Computational Mathematics 2024年第3期14卷 318-332页

作者： 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

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

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Lattice Boltzmann Study on Seawall-break flows under the Influence of Breach and Buildings

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Communications in Theoretical Physics 2017年第10期67卷 525-535页

作者：梅秋莹张文欢汪一航陈文文 Faculty of Science Ningbo University Ningbo Collaborative Innovation Center of Nonlinear Hazard System of Ocean and Atmosphere Ningbo University

In the process of storm surge, the seawater often overflows and even destroys the seawall. The buildings near the shore are usually inundated by the seawater through the breach. However, at present, there is little study focusing on the effects of buildings and breach on the seawall-break flows. In this paper, the lattice Boltzmann （LB） model with nine velocities in two dimensions （1920,9） for the shallow water equations is adopted to simulate the seawall-break flows. The flow patterns and water depth distributions for the seawall-break flows under various densities, layouts and shapes of buildings and different breach discharges, sizes and locations are investigated. It is found that when buildings with a high enough density are perpendicular to the main flow direction, an obvious backwater phenomenon appears near buildings while this phenomenon does not occur when buildings with the same density are paraJlel to the main flow direction. Moreover, it is observed that the occurrence of backwater phenomenon is independent of the building shape. As to the effects of breach on the seawall-break flows, it is found that only when the breach discharge is large enough or the breach size is small enough, the effects of asymmetric distribution of buildings on the seawail-break flows become important. The breach location only changes the flow pattern in the upstream area of the first building that seawater meets, but has little impact on the global water depth distribution.

关键词： lattice Boltzmann method shallow water equations seawall-break flows dam-break flows breach and buildings

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A two-phase model for fast geomorphic shallow flows

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International Journal of Sediment Research 2012年第4期27卷 409-425页

作者： Massimo GRECO Michele IERVOLINO Angelo LEOPARDI Andrea VACCA Dipartimento di Ingegneria Idraulica Geotecnica ed Ambientale-Universita di Napoli “Federico Ⅱ”via Claudio 21-80125 NapoliITALY Prof. Dipartimento di Ingegneria Civile e Meccanica-Universita di Cassino e del Lazio Meridionale via Di Biasio 43-03043 Cassino(FR)ITALY Assis.Prof.Dr. 4. Dipartimento di Ingegneria Civile-Seconda Universita di Napolivia Roma 29-81031 Aversa(CE)ITALY Assoc.Prof.Dr. Dipartimento di Ingegneria Civile-Seconda Universita di Napoli via Roma 29-81031 Aversa(CE)ITALY Assis.Prof.Dr.

The paper introduces a 2D shallow water model based on a two-phase formulation for the analysis of fast geomorphic transients occurring in the context of river *** and momentum conservation principles are separately imposed for both *** model naturally accounts for non-equilibrium solid transport,since neither instantaneous adaptation hypothesis nor any lag equation is employed to represent sediment *** hyperbolic character of the proposed model is shown to be preserved independently on the flow *** from numerical simulations of both 1D and 2D test-cases are compared with literature experimental data and with available numerical solutions.

关键词： Morphodynamic model Non-equilibrium sediment transport Two-phase shallow-water model Eigenvalues analysis dam-break flows

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