Mass Conservative Domain Decomposition for Porous Media Flow

Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids

Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity of the reservoir and the structure of the computational grid. While previous works on multiscale control volume methods have focused on heterogeneous elliptic problems on regu...

Habilitation thesis Convergent mass conservative schemes for flow and reactive solute transport in variably saturated porous media

Convergent mass conservative schemes for flow and reactive solute transport in variably saturated porous media

Domain decomposition strategies for nonlinear flow problems in porous media

Domain decomposition (DD) methods, such as the additive Schwarz method, are almost exclusively applied to a linearised equations. In the context of non-linear problems, these linear systems appear as part of a Newton iteration. However, applying DD methods directly to the original non-linear problem has some attractive features, most notably that the Newton iterations now solve local problems, ...

A high-performance lattice Boltzmann implementation to model flow in porous media

We examine the problem of simulating single and multiphase flow in porous medium systems at the pore scale using the lattice Boltzmann (LB) method. The LB method is a powerful approach, but one which is also computationally demanding; the resolution needed to resolve fundamental phenomena at the pore scale leads to very large lattice sizes, and hence substantial computational and memory require...