Iury Igreja

Iury Igreja
Federal University of Juiz de Fora · Departamento de Ciência da Computação

DSc Computational Modelling

About

26
Publications
2,286
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41
Citations
Citations since 2017
17 Research Items
35 Citations
20172018201920202021202220230246810
20172018201920202021202220230246810
20172018201920202021202220230246810
20172018201920202021202220230246810
Additional affiliations
June 2015 - September 2016

Publications

Publications (26)
Article
Full-text available
In this work, we study injectivity issues caused by the use of the Peaceman equation in the numerical simulation of chemical enhanced oil recovery (EOR) processes aimed at reducing fluid mobility, such as foam injection, on coarse grids. Employing analytical solutions, we demonstrate that the Peaceman equation, commonly applied to mathematical mode...
Article
In this paper, we present a stabilized mixed hybrid discontinuous Galerkin finite element method for solving fourth-order parabolic problems such as the Cahn-Hilliard equation used to describe the dynamics of avascular tumor growth. The proposed method is compared to other methods previously studied in this context. Several numerical experiments ar...
Conference Paper
Full-text available
Este trabalho propõe uma abordagem numérica pelo método implícito de direções alternadas (ADI) para o problema de convecção natural. Esse problemaé governado pelas equações de Navier-Stokes incluindo os efeitos da temperatura pela relação de Boussinesq. O problema em questãoé reescrito em termos da função corrente e da vorticidade eé incluído termo...
Article
Full-text available
In this work we present a multiscale model to characterize the constitutive behavior of a macro scale fluid accounting micro scale convective, transient and obstacle effects. With the concept of Representative Volume Element (RVE), we perform computational homogenization of several scenarios accentuating the capabilities of the proposed two scale m...
Chapter
Full-text available
This work is dedicated to simulating the Enhanced Oil Recovery (EOR) process of foam injection in a fully saturated reservoir. The presence of foam in the gas-water mixture acts in controlling the mobility of the gas phase, contributing to reduce the effects of fingering and gravity override. A fractional flow formulation based on global pressure i...
Chapter
We propose stable and locally conservative hybrid mixed finite element methods to approximate the Darcy system and convection-diffusion problem, presented in a mixed form, to solve miscible displacements considering convective flows with adverse mobility ratio. The stability of the proposed formulations is achieved due to the choice of non-conformi...
Article
Numerical methods for solving the cardiac electrophysiology model, which describes the electrical activity in the heart, are proposed. The model problem consists of a non‐linear reaction‐diffusion partial differential equation coupled to systems of ordinary differential equations that describes electrochemical reactions in cardiac cells. The propos...
Chapter
In this work we propose a new combination of finite element methods to solve incompressible miscible displacements in heterogeneous media formed by the coupling of the free-fluid with the porous medium employing the stabilized hybrid mixed finite element method developed and analyzed by Igreja and Loula in [10] and the classical Streamline Upwind P...
Chapter
In this work a stabilized variational formulation is proposed to solve the interface problem describing the electric response of cells to an applied electric field. The proposed stabilized formulation is attractive since the discrete operator resulting from finite element discretization generates a definite linear system for which efficient iterati...
Article
The coupling of free fluid and porous medium flows, governed by the Stokes and Darcy systems in their mixed velocity–pressure formulations, is addressed in two space dimensions. A stabilized mixed hybrid finite element method is proposed using discontinuous finite element spaces for the velocity and pressure approximations. Lagrange multipliers, as...
Article
Full-text available
The electroremediation process is an efficient method for removing pollutants from clayey soils. We model this process in kaolinite clays considering three scales—nano, micro and macro—under the assumption of a stratified geometry in conjunction with more realistic Danckwerts’ boundary conditions imposed at the electrodes. The resulting multiscale...
Article
Full-text available
This article reports an efficient method to characterize constitutive responses based on multiscale modeling for fluid flow in heterogeneous media based on the concept of representative volume element (RVE). Between different scales, it is considered as the basic principles for down-scaling information the conservation of velocity and of the strain...
Article
We propose mixed hybrid finite element formulations for the Stokes problem characterized by the introduction of Lagrange multipliers associated with the traces of the velocity and pressure fields on the edges of the elements to weakly impose the transmission conditions. Both velocity and pressure multipliers are stabilized and, as a consequence of...
Conference Paper
Full-text available
In the last decades mixed finite element methods have been developed to solve the Darcy law. However, the classical finite element approximations for this problems present lim-itations due to necessity to preserve the compatibility condition between the space of approx-imations. Moreover, for the heterogenous media where the porous formation is com...
Conference Paper
Full-text available
Resumo: Apresentamos um estudo comparativo da convergência de aproximações obtidas com elementos triangulares e quadrilaterais associados a formulações variacionais híbridas do pro-blema de Stokes em velocidade e pressão . São analisados os métodos de elementos finitos híbridos estabilizados SH2M e SH3M desenvolvidos em [10]. Os métodos em questão...
Thesis
Full-text available
Este trabalho objetiva o desenvolvimento de modelos computacionais capazes de construir simulações numéricas mais realistas e menos custosas computacionalmente para o problema de descontaminação de solos argilosos por técnicas de eletrocinética. Resultados inovadores são obtidos aprimorando-se os modelos multi-escala desenvolvidos anteriormente por...
Conference Paper
Full-text available
Naturally stable or stabilized finite element formulations to solve incompressible flow problems governed by Stokes equations have been the goal of research for a long time. Mixed finite element methods for the pressure and the velocity fields with different stabilization forms have been widely used. Recently, hybrid formulations have been develope...
Chapter
Full-text available
We propose a new multiscale computational model to simulate electrokinetic remediation processes in clayey soils. The macroscopic governing equations are derived using the homogenization procedure applied to the pore-scale description consisting of micro-pores saturated by an aqueous solution containing four monovalent ionic species (Na + , H + , C...

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Project (1)
Project
Development of analytical solutions for oil spreading problems that is appropriate for foam generation including resolution of the Riemann problem for this model along with solutions in the form of traveling waves.