Quasi-Monotonic Families of Continuous Darcy Flux Finite Volume Schemes
M.G. Edwards (Swansea University, UK)
Families of continuous Darcy-flux control-volume distributed (Multi-point flux Approximations) CVD (MPFA) finite volume schemes are presented for the general full-tensor pressure equation arising in porous media flow modelling. These schemes offer the practical advantage of being flux-continuous while only depending on one degree of freedom per control-volume, unlike rival approximations such as the Mixed Finite Element method.
The new families of schemes are compared with earlier formulations in terms of quadrature range, numerical convergence and monotonicity for challenging problems involving high full-tensor anisotropy.