Nonlinear solver for three-phase transport problems based on approximate trust regions

DOI10.1007/s10596-017-9660-1zbMath1396.76061OpenAlexW2738710945MaRDI QIDQ1785116

Olav Møyner

Publication date: 28 September 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-017-9660-1

zbMATH Keywords

unconditional stabilitymultiphase flowtrust regionNewtonnonlinear solverflux functiontransport solver

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Multiphase and multicomponent flows (76Txx) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media ⋮ Efficient reordered nonlinear Gauss-Seidel solvers with higher order for black-oil models ⋮ Convergent sequential fully implicit method for reservoir simulation ⋮ Sequential fully implicit Newton method for flow and transport with natural black-oil formulation ⋮ Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media ⋮ Efficient dissipation-based nonlinear solver for multiphase flow in discrete fractured media ⋮ Efficient flow diagnostics proxies for polymer flooding ⋮ Smooth implicit hybrid upwinding for compositional multiphase flow in porous media ⋮ A numerical study of the additive Schwarz preconditioned exact Newton method (ASPEN) as a nonlinear preconditioner for immiscible and compositional porous media flow

Uses Software

• pchip
• Norne Benchmark
• GitHub

Cites Work

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• Trust-region based solver for nonlinear transport in heterogeneous porous media
• Nonlinear analysis of multiphase transport in porous media in the presence of viscous, buoyancy, and capillary forces
• Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions
• A comparison of multiscale methods for elliptic problems in porous media flow
• Multi-scale finite-volume method for elliptic problems in subsurface flow simulation.
• A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids
• Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements
• Potential-based reduced Newton algorithm for nonlinear multiphase flow in porous media
• Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity
• Mathematical Structure of the Black-Oil Model for Petroleum Reservoir Simulation
• Monotone Piecewise Cubic Interpolation
• Upstream Differencing for Multiphase Flow in Reservoir Simulation
• ICIAM/GAMM 95 Applied Stochastics Optimization

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