A fully conservative block-centered finite difference method for simulating Darcy-Forchheimer compressible wormhole propagation

DOI10.1007/S11075-018-0609-9zbMath1426.65127OpenAlexW2899471827WikidataQ129015631 ScholiaQ129015631MaRDI QIDQ2274156

Shuangshuang Chen, Xiao-Li Li, Hong-Xing Rui

Publication date: 19 September 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0609-9

zbMATH Keywords

numerical experimentsnonuniform gridsblock-centered finite differenceDarcy-Forchheimer compressible wormholefull mass conservation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

Block-centered local refinement methods for the time-fractional equations ⋮ An energy stable, conservative and bounds‐preserving numerical method for thermodynamically consistent modeling of incompressible two‐phase flow in porous media with rock compressibility ⋮ A high-order time discretizing block-centered finite difference method for compressible wormhole propagation ⋮ Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation ⋮ Characteristic splitting mixed finite element analysis of compressible wormhole propagation ⋮ Modified Newton integration algorithm with noise suppression for online dynamic nonlinear optimization ⋮ Stability analysis and error estimates of fully-discrete local discontinuous Galerkin methods for simulating wormhole propagation with Darcy-Forchheimer model

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