Computational Simulations of the Saint-Venant Equations Applied to Flooding Problems Caused by Extreme Rainfall

• Grant number: 25/16384-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2025
• End date: October 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Graciele Paraguaia Silveira
• Grantee: Laisa Santos de Carvalho
• Host Institution: Centro de Ciências e Tecnologias para a Sustentabilidade (CCTS). Universidade Federal de São Carlos (UFSCAR). Sorocaba , SP, Brazil

Abstract

Human activity has intensified the concentration of greenhouse gases in the atmosphere, which generates global warming and increases atmospheric temperature. Research already points to the impacts of this warming on climate phenomena, such as extreme heat waves, severe droughts and intense rainfall. International organizations are mobilizing to discuss and develop strategies to contain global warming and deal with the environmental, social, and economic consequences. In this sense, this project's main objective is to apply the Saint-Venant Equations to model problems involving flooding, considering climate events such as extreme rainfall. The topography of the region is important and will be taken into account in scenario simulations. Using computational implementations, via Python codes owns, a Lax-Friedrichs-type finite volume method, coupled with an Adams-Moulton-type scheme, will be executed to obtain the temporal evolution of stormwater runoff. We hope to achieve relevant results in terms of the training of the student, a future researcher, as well as paving the way for more elaborate research on the topic of climate change, which is fundamental today and for future generations.