Chih-Che Chueh, Wolfgang Bangerth, Ned Djilali
Integrated Adaptive Numerical Method for Transient Two-phase Flow in Heterogeneous Porous Media
Proceedings of the Seventh International Conference on Computational Fluid Dynamics (ICCFD7), Big Island, Hawaii, July 9-13, 2012.

An interconnected set of algorithms is presented for the simulation of two-phase flow in porous media achieving more than two orders of magnitudes acceleration. The methods combine: an adaptive operator splitting technique; adaptive meshing; efficient block preconditioning; and a localized artificial diffusion strategy for stabilization. The accuracy and efficiency of the approach is demonstrated through numerical experiments for three types of flows in heterogeneous porous media, including an advection dominated flow and flow involving capillary transport.

Wolfgang Bangerth
Thu Jun 14 16:00:01 MDT 2018