Improving the robustness of the control volume finite element method with application to multiphase porous media flow

Iterative Multiscale Finite Volume Method for Multiphase Flow in Porous Media with Complex Physics

In this thesis, the multiscale finite-volume (MSFV) method for the solution of elliptic problems is extended to an efficient iterative algorithm that converges to the fine-scale numerical solution. The localization errors in the MSFV method are systematically reduced by updating the local boundary conditions with global information. This iterative multiscale finite-volume (i-MSFV) method allows...

A force-balanced control volume finite element method for multi-phase porous media flow modelling

A novel method for simulating multi-phase flow in porous media is presented. The approach is based on a control volume finite element mixed formulation and new force-balanced finite element pairs. The novelty of the method lies in (i) permitting both continuous and discontinuous description of pressure and saturation between elements; (ii) the use of arbitrarily high-order polynomial representa...

A discontinuous control volume finite element method for multi-phase flow in heterogeneous porous media

Article history: Received 24 November 2016 Received in revised form 26 June 2017 Accepted 29 September 2017

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media