A high-resolution multidimensional finite volume scheme coupled to a nonlinear two-point flux approximation method for the numerical simulation of groundwater contaminant transport using unstructured 2D meshes

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

(2021) Fernando R.L. Contreras et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Efficient simulation of groundwater solute transport using the multipoint flux approximation method with arbitrary polygon grids

(2021) Yulong Gao et al.   JOURNAL OF HYDROLOGY

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

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

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

High resolution finite volume computations on unstructured grids using solution dependent weighted least squares gradients

(2010) J.C. Mandal 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

Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids

(2009) Jin Seok Park et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Higher-resolution convection schemes for flow in porous media on highly distorted unstructured grids

(2008) Sadok Lamine et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Solving the advection-dispersion equation with discontinuous Galerkin and multipoint flux approximation methods on unstructured meshes

(2008) Anis Younes et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

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

(2008) Darlan Karlo Elisiário de Carvalho et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support

(2008) Michael G. Edwards et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Monotone finite volume schemes for diffusion equations on polygonal meshes

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