Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

Naturally fractured reservoirs have been a source of challenging issues with regard to field
development, well stability, drilling, and enhanced oil recovery, as a connected fracture …

Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by
novel theories in mathematical physics, advances in computational methods, insights from …

We develop a mixed finite element method for single phase flow in porous media that
reduces to cell-centered finite differences on quadrilateral and simplicial grids and performs …

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems
on unstructured irregular grids, which simultaneously gives an approximation of the solution …

Mechanistic modeling of water resources systems is a broad field with abundant challenges.
We consider classes of model formulations that are considered routine, the focus of current …

We propose a new cell-centered diffusion scheme on unstructured meshes. The main
feature of this scheme lies in the introduction of two normal fluxes and two temperatures on …

A new mixed, stabilized, discontinuous Galerkin formulation for Darcy flow is presented. The
formulation combines several attributes not simultaneously satisfied by other methods: It is …

We develop a local flux mimetic finite difference method for second order elliptic equations
with full tensor coefficients on polyhedral meshes. To approximate the velocity (vector …

This paper investigates different variants of the multipoint flux approximation (MPFA) O-
method in 2D, which rely on a transformation to an orthogonal reference space. This …