Numerical modeling of natural channels by using the Saint-Venant Equation

• Grant number: 23/01011-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2023
• End date: March 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Maicon Ribeiro Correa
• Grantee: Lucas Ferreira Moura Oliveira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

This research project is oriented to the study of one-dimensional Shallow Water Equations, also known as Saint-Venant equations, which consist of a system of hyperbolic balance laws.From a numerical point of view, we propose the computational implementation and application of high-order central finite volume schemes to solve shallow water equations in channels with irregular geometry, allowing for the simulation of flow problems typically found in nature.