Numerical methods for the shallow-water system

• Grant number: 22/13007-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: November 01, 2022
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Maicon Ribeiro Correa
• Grantee: Thiago Felipe Castro Carrenho
• 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 in Numerical Analysis deals with the development of numerical methods for solving the systems of Partial Differential Equations that model the Shallow Water flow, well known as the Saint-Venant Equations. More specifically, we propose the development of central finite volume schemes for systems of balance laws of hyperbolic nature, including the application to the water flow in natural channels.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

CARRENHO, Thiago Felipe Castro. Numerical methods for the shallow waters system coupled to Exner equation. 2024. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.