Numerical studies of porous media flow

• Grant number: 13/19021-8
• Support type: Scholarships abroad - Research
• Effective date (Start): February 24, 2014
• Effective date (End): February 23, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal researcher: Maicon Ribeiro Correa
• Grantee: Maicon Ribeiro Correa
• Host: Todd James Arbogast
• Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Research place: University of Texas at Austin (UT), United States

Abstract

This Research Project is the starting point of the collaboration with the Institute for Computational Engineering and Sciences (ICES) at the University of Texas at Austin, referring to a visit during the period February 24, 2014 through February 23, 2015. The project deals with the development of numerical methods for solving System of Partial Differential Equations that models flow in highly heterogeneous porous media. More specifically, we propose the development and the analysis of stabilized mixed-hybrid finite element methods to compute Darcy's velocity and pressure in highly heterogeneous rigid porous media, and of higher order finite volume central schemes for associated transport problems. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ARBOGAST, TODD; CORREA, MAICON R.. TWO FAMILIES OF H(div) MIXED FINITE ELEMENTS ON QUADRILATERALS OF MINIMAL DIMENSION. SIAM JOURNAL ON NUMERICAL ANALYSIS, v. 54, n. 6, p. 3332-3356, 2016. (13/19021-8)

CORREA, MAICON R.. A semi-discrete central scheme for incompressible multiphase flow in porous media in several space dimensions. MATHEMATICS AND COMPUTERS IN SIMULATION, v. 140, p. 24-52, OCT 2017. (13/19021-8)