On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies LES Queiroz, MRA Souza, FRL Contreras, PRM Lyra, DKE de Carvalho International Journal for Numerical Methods in Fluids 74 (4), 270-291, 2014 | 42 | 2014 |
A node‐centred finite volume formulation for the solution of two‐phase flows in non‐homogeneous porous media DKE de Carvalho, RB Willmersdorf, PRM Lyra International journal for numerical methods in fluids 53 (8), 1197-1219, 2007 | 39 | 2007 |
An edge-based unstructured finite volume procedure for the numerical analysis of heat conduction applications PRM Lyra, R Lima, CSC Guimarães, DKE de Carvalho Journal of the Brazilian Society of Mechanical Sciences and Engineering 26 …, 2004 | 31 | 2004 |
A new multipoint flux approximation method with a quasi-local stencil (MPFA-QL) for the simulation of diffusion problems in anisotropic and heterogeneous media FRL Contreras, PRM Lyra, DKE de Carvalho Applied Mathematical Modelling 70, 659-676, 2019 | 22 | 2019 |
Some results on the accuracy of an edge‐based finite volume formulation for the solution of elliptic problems in non‐homogeneous and non‐isotropic media DKE De Carvalho, RB Willmersdorf, PRM Lyra International journal for numerical methods in fluids 61 (3), 237-254, 2009 | 19 | 2009 |
An unstructured edge‐based finite volume formulation for solving immiscible two‐phase flows in porous media DKE De Carvalho, PRM Lyra, RB Willmersdorf, FDS Araújo Communications in numerical methods in engineering 21 (12), 747-756, 2005 | 19 | 2005 |
An axisymmetric finite volume formulation for the solution of heat conduction problems using unstructured meshes PRM Lyra, R Lima, DKE De Carvalho, G Da Silva Journal of the Brazilian Society of Mechanical Sciences and Engineering 27 …, 2005 | 17 | 2005 |
A linearity-preserving finite volume scheme with a diamond stencil for the simulation of anisotropic and highly heterogeneous diffusion problems using tetrahedral meshes RJM de Lira Filho, SR dos Santos, TM Cavalcante, FRL Contreras, ... Computers & Structures 250, 106510, 2021 | 13 | 2021 |
A multiscale control volume framework using the multiscale restriction smooth basis and a non-orthodox multi-point flux approximation for the simulation of two-phase flows on … ACR de Souza, LMC Barbosa, FRL Contreras, PRM Lyra, ... Journal of Petroleum Science and Engineering 188, 106851, 2020 | 13 | 2020 |
A higher resolution edge‐based finite volume method for the simulation of the oil–water displacement in heterogeneous and anisotropic porous media using a modified IMPES method RS da Silva, PRM Lyra, RB Willmersdorf, DKE de Carvalho International Journal for Numerical Methods in Fluids 82 (12), 953-978, 2016 | 13 | 2016 |
An algebraic multiscale solver for the simulation of two-phase flow in heterogeneous and anisotropic porous media using general unstructured grids (AMS-U) ACR de Souza, DKE de Carvalho, JCA dos Santos, RB Willmersdorf, ... Applied Mathematical Modelling 103, 792-823, 2022 | 11 | 2022 |
A multipoint flux approximation with diamond stencil finite volume scheme for the two‐dimensional simulation of fluid flows in naturally fractured reservoirs using a hybrid … TM Cavalcante, FRL Contreras, PRM Lyra, DKE de Carvalho International Journal for Numerical Methods in Fluids 92 (10), 1322-1351, 2020 | 10 | 2020 |
Adaptive triangular, quadrilateral and hybrid unstructured mesh generation with classical resequencing techniques PRM Lyra, DKE de Carvalho, RB Willmersdorf WCCM'98-Proc. of the 4th World Conference on Comput. Mechanics, Buenos Aires …, 1998 | 6 | 1998 |
Streamline-based simulation in highly heterogeneous and anisotropic petroleum reservoirs using a non-orthodox MPFA method and an adaptive timestep strategy with unstructured meshes J da Cunha Teixeira, LJ do Nascimento Guimarães, DKE de Carvalho Journal of Petroleum Science and Engineering 201, 108369, 2021 | 5 | 2021 |
A First Step Towards a Petroleum Reservoir Simulator Using an Edge-Based Unstructured Finite Volume Formulation DKE De Carvalho, PRM Lyra, RB Willmersdorf The 2nd Brazilian Congress on R&D in Petroleum and Gas, 2003 | 3 | 2003 |
Parallel simulation of two-phase incompressible and immiscible flows in porous media using a finite volume formulation and a modified IMPES approach RS Da Silva, DKE De Carvalho, ARE Antunes, PRM Lyra, ... IOP Conference Series: Materials Science and Engineering 10 (1), 012034, 2010 | 2 | 2010 |
Preliminary Comparative Study Between Two Different Control Volume Formulations for the Simulation of Diffusion Problems in Heterogeneous and Anisotropic Media Using an Edge … DKE de Carvalho, RS da Silva, PRM Lyra, RB Willmersdorf International Journal of Modeling and Simulation for the Petroleum Industry …, 2009 | 2 | 2009 |
Automatic Upscaling In Petroleum Reservoir Simulation Using Classical Techniques JAF Ramos, D de SM Filho, PRM Lyra, RB Willmersdorf, RS da Silva, ... International Journal of Simulation Modelling, 6 (2), 43-50, 2012 | 1 | 2012 |
Utilização de Técnicas de Adaptação de Malhas para a Simulação Numérica de Escoamento em Meios Porosos MTL Cezano, LM da Costa, PRM Lyra, DKE de Carvalho CONIC, 2008 | 1 | 2008 |
Utilização de Estratégias de Adaptação de Malhas na Simulação Computacional de Escoamentos Bifásicos em Meios Porosos PRM Lyra, DKE de Carvalho, GB Luna Bruno, JPS Queiroz, ... Congresso ibero-americano de engenharia mecânica, 2007 | 1 | 2007 |