Adaptive timestepping, linearization, and a posteriori error control for multiphase flow of immiscible fluids in porous media with wells

E Ahmed, Ø Klemetsdal, X Raynaud, O Møyner… - SPE Journal, 2023 - onepetro.org
This work focuses on the development of adaptive timesteps, stopping criteria, and error
control strategies for reservoir simulations with fully implicit (FIM) solvers. Using a rigorous …

Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement

ØS Klemetsdal, O Møyner, KA Lie - SPE Reservoir Simulation …, 2019 - onepetro.org
High-resolution discretizations can be advantageous in compositional simulation to reduce
excessive numerical diffusion that tends to mask shocks and fingering effects. In this work …

Adaptive Time Stepping, Linearization and a Posteriori Error Control for Multiphase Flow with Wells

E Ahmed, Ø Klemetsdal, X Raynaud… - SPE Reservoir …, 2021 - onepetro.org
We present in this paper a-posteriori error estimators for multiphase flow with singular well
sources. The estimators are fully and locally computable, distinguish the various error …