An Overview of Flood Management from a Mathematical Perspective

Abstract

Floods are among the world’s most devastating natural disasters, resulting in loss of life, damage to property, and widespread infrastructure disruptions that impact millions. Flood modelling is a crucial tool for forecasting and effectively mitigating the consequences of such disasters. This study offers an overview of flood management strategies such as structural and non-structural strategies, and the current state of flood modelling, the challenges it faces, and potential future advancements. The scope of flood modelling encompasses various approaches, such as hydrological and hydraulic models, numerical simulations, rainfall-runoff analysis, remote sensing and geographic information systems (GIS), computational intelligence and robotics. The assessment delves into some of the merits and demerits of different models used to forecast the trajectory and consequences of flood events. This study explores the potential avenues for progress and innovation within the realm of flood modelling, including the integration of modern technology and multifaceted models. To enhance the control of flood hazards and reduce the societal influence of floods, the report underscores the imperative need for continuous research in the field of flood management through conventional and mathematical modelling.