A non-linear finite volume method coupled with a modified higher order MUSCL-type method for the numerical simulation of two-phase flows in non-homogeneous and non-isotropic oil reservoirs

Numerical simulation of two-phase flows in 2-D petroleum reservoirs using a very high-order CPR method coupled to the MPFA-D finite volume scheme

(2020) G. Galindez-Ramirez et al.   JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING

Simulation of multi-component multi-phase fluid flow in two-dimensional anisotropic heterogeneous porous media using high-order control volume distributed methods

(2019) M. Moshiri et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A new multipoint flux approximation method with a quasi-local stencil (MPFA-QL) for the simulation of diffusion problems in anisotropic and heterogeneous media

(2019) Fernando R.L. Contreras et al.   APPLIED MATHEMATICAL MODELLING

Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the correction procedure via reconstruction (CPR) method

(2019) G. Galindez-Ramirez et al.   COMPUTATIONAL GEOSCIENCES

A Higher-Resolution Flow-Oriented Scheme With an Adaptive Correction Strategy for Distorted Meshes Coupled With a Robust MPFA-D Method for the Numerical Simulation of Two-Phase Flow in Heterogeneous and Anisotropic Petroleum Reservoirs

(2018) Márcio R. A. Souza et al.   SPE JOURNAL

A cell-centered multipoint flux approximation method with a diamond stencil coupled with a higher order finite volume method for the simulation of oil–water displacements in heterogeneous and anisotropic petroleum reservoirs

(2016) F.R.L. Contreras et al.   COMPUTERS & FLUIDS

A new nonlinear finite volume scheme preserving positivity for diffusion equations

(2016) Zhiqiang Sheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids

(2014) Jiming Wu et al.   JOURNAL OF COMPUTATIONAL PHYSICS

On the accuracy of a nonlinear finite volume method for the solution of diffusion problems using different interpolations strategies

(2013) L.E.S. Queiroz et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes

(2013) Zhiming Gao et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems

(2013) K. Lipnikov et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Multi-level adaptive simulation of transient two-phase flow in heterogeneous porous media

(2010) C.C. Chueh et al.   COMPUTERS & FLUIDS

A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes

(2010) Zhiming Gao et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations

(2009) Susana Serna   JOURNAL OF COMPUTATIONAL PHYSICS

Monotone finite volume schemes for diffusion equations on polygonal meshes

(2008) Guangwei Yuan et al.   JOURNAL OF COMPUTATIONAL PHYSICS