Global Implicit Solver for Multiphase Multicomponent Flow in Porous Media with Multiple Gas Phases and General Reactions

DOI10.1007/978-3-030-43651-3_56zbMath1454.65166OpenAlexW3035450005MaRDI QIDQ5117485

Peter Knabner, Serge Kräutle, Markus M. Knodel

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_56

zbMATH Keywords

carbon dioxideFVMdiffusion-advection-reactionequilibrium reactionsnested NewtonPDE reduction methodparallel FEM

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Chemically reacting flows (80A32) Reaction effects in flows (76V05) Three or more component flows (76T30) Computational methods for problems pertaining to geophysics (86-08) Liquid-gas two-phase flows, bubbly flows (76T10) Geological problems (86A60) Other special methods applied to PDEs (35A25) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08) PDEs in connection with computer science (35Q68)

Related Items (2)

Global implicit solver for multiphase multicomponent flow in porous media with multiple gas components and general reactions. Global implicit solver for multiple gas components ⋮ Semi-implicit methods for advection equations with explicit forms of numerical solution

Uses Software

• MoMaS

Cites Work

• A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing
• A global implicit solver for miscible reactive multiphase multicomponent flow in porous media
• A parallel global-implicit 2-D solver for reactive transport problems in porous media based on a reduction scheme and its application to the MoMaS benchmark problem
• 2D simulation of natural gas reservoir by two-phase multicomponent reactive flow and transport -- description of a benchmarking exercise
• FV Upwind Stabilization of FE Discretizations for Advection–Diffusion Problems
• Finite Volume Scheme for Coupling Two–Phase Flow with Reactive Transport in Porous Media

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