A Parallel Solver for Large Scale DFN Flow Simulations

DOI10.1137/140984014zbMath1320.65167OpenAlexW1585329782MaRDI QIDQ5254776

F. Vicini, Stefano Scialò, Stefano Berrone, Sandra Pieraccini

Publication date: 10 June 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4ac6dabeabbaafefe64b0578468b08e02879066f

zbMATH Keywords

PDE-constrained optimizationparallel scalabilitymessage passing interface (MPI)discrete fracture networkssingle-phase flows

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel algorithms in computer science (68W10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solutions to equations with nonlinear operators (65J15)

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Uses Software

• METIS
• Eigen
• FracSim3D

Cites Work

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• An optimization approach for large scale simulations of discrete fracture network flows
• A quasi steady state method for solving transient Darcy flow in complex 3D fractured networks
• Mixed and nonconforming finite element methods on a system of polygons
• Geometric modelling and object-oriented software concepts applied to a heterogeneous fractured network from the Grimsel rock laboratory
• The virtual element method for discrete fracture network simulations
• Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• A reduced model for Darcy’s problem in networks of fractures
• A Generalized Mixed Hybrid Mortar Method for Solving Flow in Stochastic Discrete Fracture Networks
• A Mortar BDD Method for Solving Flow in Stochastic Discrete Fracture Networks
• Balancing domain decomposition
• A mixed hybrid Mortar method for solving flow in discrete fracture networks
• An approximate BDDC preconditioner
• A New Approach to Simulating Flow in Discrete Fracture Networks with an Optimized Mesh
• Flow Simulation in Three-Dimensional Discrete Fracture Networks
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• Balancing domain decomposition for problems with large jumps in coefficients
• On Simulations of Discrete Fracture Network Flows with an Optimization-Based Extended Finite Element Method
• A PDE-Constrained Optimization Formulation for Discrete Fracture Network Flows
• Convergence of a balancing domain decomposition by constraints and energy minimization
• Scale Dependence and Scale Invariance in Hydrology