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math.NA2021★ 9 cited
Smooth Implicit Hybrid Upwinding for Compositional Multiphase Flow in Porous Media
Sebastian B. M. Bosma, Francois P. Hamon, Brad T. Mallison +1
In subsurface multiphase flow simulations, poor nonlinear solver performance is a significant runtime sink. The system of fully implicit mass balance equations is highly nonlinear…
math.NA2020★ 13 cited
Inexact Methods for Sequential Fully Implicit (SFI) Reservoir Simulation
Jiamin Jiang, Pavel Tomin, Yifan Zhou
The sequential fully implicit (SFI) scheme was introduced (Jenny et al. 2006) for solving coupled flow and transport problems. Each time step for SFI consists of an outer loop, in…
math.NA2018★ 19 cited
Fully Implicit Multidimensional Hybrid Upwind Scheme for Coupled Flow and Transport
Francois P. Hamon, Bradley T. Mallison
Robust and accurate fully implicit finite-volume schemes applied to Darcy-scale multiphase flow and transport in porous media are highly desirable. Recently, a smooth approximation…