River flood valleys are being subjected to the impact of urbanization in large cities throughout the world. Therefore, urban planning strategies based on water resources management must be established to avoid adverse environmental impacts. This paper describes a two-dimensional mathematical model for the determination of flood risk maps of the Rosario region, Argentina. The mapping was made over the River Luduena flood plain, which embraces an area of 5000 ha, with a population of 300 000. Based on the results, regional governments are developing non-structural planning rules with the associated legislation. In this way, the hydrodynamic mathematical modelling contributes to the planning and control of water resources for a sustainable development.Fil: Riccardi, Gerardo A. Universidad Nacional de Rosario. Departamento de Hidráulica, Escuela de Ingenieria Civil, Fac. de Cs. Exactas, Ingenieria y Agrimensura. Centro Universitario Rosario de Investigaciones Hidroambientales (CURIHAM). Consejo de Investigaciones. Rosario; Argentina.