Efficient C1-continuous phase-potential upwind (C1-PPU) schemes for coupled multiphase flow and transport with gravity

Keywords

Flux limiter, Upwind scheme, Smoothness, Applied mathematics, Nonlinear system

References

• Nonlinear analysis of multiphase transport in porous media in the presence of viscous, buoyancy, and capillary forcesBoxiao Li, Hamdi A. Tchelepi — 2015
• Upstream differencing for multiphase flow in reservoir simulationYann Brenier, Jérôme Jaffré — 1991
• Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous MediaFélix Kwok, Hamdi A. Tchelepi — 2008
• Adaptively Localized Continuation-Newton Method—Nonlinear Solvers That Converge All the TimeRami M. Younis, Hamdi A. Tchelepi, Khalid Aziz — 2010
• Hybrid upwind discretization of nonlinear two-phase flow with gravityS.H. Lee, Yalchin Efendiev, Hamdi A. Tchelepi — 2015
• Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functionsPatrick Jenny, Hamdi A. Tchelepi, Seong H. Lee — 2009
• Mathematical study of a petroleum-engineering schemeRobert Eymard, Raphaèle Herbin, Anthony Michel — 2003
• Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemesRobert Eymard — 1998
• Mathematical and Numerical Study of an Industrial Scheme for Two-phase Flows in Porous Media under GravityGuillaume Enchéry, Roland Masson, Sylvie Wolf — 2002
• Trust-region based solver for nonlinear transport in heterogeneous porous mediaXiaochen Wang, Hamdi A. Tchelepi — 2013
• Hybrid finite element techniques for oil recovery simulationRobert Eymard, Thierry Gallouët, Philippe Joly — 1989
• Monotone difference approximations for scalar conservation lawsMichael G. Crandall, Andrew J. Majda — 1979
• Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with GravityFrançois P. Hamon, Hamdi A. Tchelepi — 2016
• C1-Continuous relative permeability and hybrid upwind discretization of three phase flow in porous mediaS.H. Lee, Yalchin Efendiev — 2016
• Implicit Hybrid Upwind scheme for coupled multiphase flow and transport with buoyancyFrançois P. Hamon, Bradley Mallison, Hamdi A. Tchelepi — 2016
• Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous MediaBilal Saad, Mazen Saad — 2012
• Iterative Solution of Nonlinear Equations in Several Variables1970
• Computational methods for multiphase flows in porous mediaBeatrice Riviere — 2007

Cited by

• Dissipation-based continuation method for multiphase flow in heterogeneous porous mediaJiamin Jiang, Hamdi A. Tchelepi — 2018
• Nonlinear acceleration of sequential fully implicit (SFI) method for coupled flow and transport in porous mediaJiamin Jiang, Hamdi A. Tchelepi — 2018
• An integrated workflow for fracture propagation and reservoir simulation in tight oilShiqian Xu, Qihong Feng, Li Yuyao — 2019
• Consistent upwinding for sequential fully implicit multiscale compositional simulationArthur Moncorgé, Olav Møyner, Hamdi A. Tchelepi — 2019
• Smooth Formulation for Multi-component Compositional Simulation with Superior Nonlinear ConvergenceJiamin Jiang, Xian‐Huan Wen — 2020
• Smooth formulation for isothermal compositional simulation with improved nonlinear convergenceJiamin Jiang, Xian‐Huan Wen — 2020
• Upwinding and artificial viscosity for robust discontinuous Galerkin schemes of two-phase flow in mass conservation formSavithru Jayasinghe, David Darmofal, Steven R. Allmaras — 2020
• Inexact methods for sequential fully implicit (SFI) reservoir simulationJiamin Jiang, Pavel Tomin, Yifan Zhou — 2020
• Smooth Implicit Hybrid Upwinding for Compositional Multiphase Flow in Porous MediaSebastian B.M. Bosma, François P. Hamon, Bradley Mallison — 2021
• Sequential fully implicit newton method for flow and transport with natural black-oil formulationJiawei Li, Pavel Tomin, Hamdi A. Tchelepi — 2023
• Smooth Formulation for Three-Phase Black-Oil Simulation with Superior Nonlinear ConvergenceJiamin Jiang, Xian‐Huan Wen — 2023
• Correction to: Sequential fully implicit newton method for flow and transport with natural black-oil formulationJiawei Li, Pavel Tomin, Hamdi A. Tchelepi — 2023
• Performance study of variational quantum linear solver with an improved ansatz for reservoir flow equationsXiang Rao — 2024

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