DuMu\(^{\text x} 3\) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

DOI10.1016/j.camwa.2020.02.012zbMath1456.76079arXiv1909.05052OpenAlexW3012213980WikidataQ115099877 ScholiaQ115099877MaRDI QIDQ2217142

Timo Koch, Farid Mohammadi, Kilian Weishaupt, Melanie Lipp, Beatrix Becker, Felix Weinhardt, Christoph Grüninger, Katharina Heck, Martin Schneider, M. Beck, Johannes Hommel, Theresa Kurz, Martin Utz, Samuel Burbulla, Leopold Stadler, Sina Ackermann, Edward Coltman, Dennis Gläser, Thomas Fetzer, Simon Emmert, Gabriele Seitz, Samuel Scherrer, Bernd Flemisch, Holger Class

Publication date: 18 December 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05052

zbMATH Keywords

finite volume discretizationcoupled problemmulti-phase flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Three or more component flows (76T30) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

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Uses Software

• Gmsh
• Matlab
• UMFPACK
• DUNE
• deal.ii
• FEniCS
• SyFi
• Feel++
• ParaView
• Matplotlib
• MRST
• MODFLOW
• preCICE
• OpenGeoSys
• OpenCMISS
• PFLOTRAN
• DuMuX
• MOOSE
• ISTL
• PorePy
• FraC
• FoamGrid

Cites Work

• Automated solution of differential equations by the finite element method. The FEniCS book
• Hydrogenization of underground storage of natural gas. Impact of hydrogen on the hydrodynamic and bio-chemical behavior
• Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model
• A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework
• A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
• Multiscale mixed/mimetic methods on corner-point grids
• Dimensionally reduced flow models in fractured porous media: crossings and boundaries
• preCICE -- a fully parallel library for multi-physics surface coupling
• Monotone nonlinear finite-volume method for challenging grids
• An introduction to multipoint flux approximations for quadrilateral grids
• A fully implicit finite volume scheme for single phase flow with reactive transport in porous media
• The \textsc{Dune} framework: basic concepts and recent developments
• The open porous media flow reservoir simulator
• Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems
• FraC: a new conforming mesh method for discrete fracture networks
• A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media
• Numerical simulation of two-phase multicomponent flow with reactive transport in porous media: application to geological sequestration of CO₂
• A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
• Infrastructure for the Coupling of Dune Grids
• Feel++ : A computational framework for Galerkin Methods and Advanced Numerical Methods
• ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
• deal.II—A general-purpose object-oriented finite element library
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach
• Coupling Fluid Flow with Porous Media Flow
• Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• Hybrid Models for Simulating Blood Flow in Microvascular Networks
• On the Conditions for Coupling Free Flow and Porous-Medium Flow in a Finite Volume Framework
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
• Algorithm 832

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