A posteriori-based, local multilevel mesh refinement for the Darcy porous media flow problem (Q6593322)

This work combines the Flux Interface Correction (FIC) method and the equilibrated flux a posteriori error estimate with a cell-centered finite volume scheme to solve the Darcy porous media flow problem.\N\NThe equilibrated flux a posteriori error estimate is used within the FIC method in order to define the cells to refine in the context of the adaptive mesh refinement (AMR) procedure. Using the Berger-Rigoustos algorithm, patches are defined for the multilevel local mesh refinement algorithm presented in the contribution.\N\NFinally, two numerical examples are provided. The first one deals with a simple single phase flow model in order to check the coupling between the two methods. The second one, is a two-phase flow model (gas and water) with a comparison with an h-refinement strategy.