Numerical solution of the Stokes-Brinkman model for porous media flows

• Grant number: 18/13028-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: October 01, 2018
• End date: September 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Fabrício Simeoni de Sousa
• Grantee: Anna Caroline Felix Santos de Jesus
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

In porous media flows, specially those arising from petroleum exploration, the Darcy model is largely employed, which is suitable when the domain scale is much larger than the pore scale structure of the porous material. When free channels or high-porosity media are considered (such as fractures in the porous material, for instance), the Stokes-Brinkman model is more adequate, as an intermediate model between Darcy and direct solution in the pore scale modelled by the Stokes equations. This research proposal is concerned about the numerical solution of the Stokes-Brinkman modeling porous media flow. We intend to investigate the limits of this formulation, the numerical challenges in its discretization, as well as its viability for large scale simulations by using modern multiscale domain decomposition methods.

Academic Publications

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

JESUS, Anna Caroline Felix Santos de. Numerical solution of the Stokes-Brinkman model for porous media flows. 2020. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.