Efficient numerical solution of micro–macro models for multicomponent transport and reaction problems in porous media

Abstract

ABSTRACT Transport and reaction of dissolved species in hierarchically structured complex media, e.g. porous media, can be described by micro–macro models (models with distributed micro-structure, models). These models offer advantages compared to pure micro- or pure macroscale models but exhibit, compared to pure macroscale models, a strongly increased numerical complexity. We show how parallel computing together with Schur complement techniques can make those models numerically feasible.