An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media

DOI10.1016/j.jcp.2019.06.052zbMath1452.76095arXiv1810.01245OpenAlexW2895135403MaRDI QIDQ2222445

Florian Frank, Faruk O. Alpak, Chen Liu, Béatrice Rivière

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01245

zbMATH Keywords

porous mediaprojection methodincompressible Navier-Stokes equationinterior penalty discontinuous Galerkin method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows ⋮ Schur preconditioning of the Stokes equations in channel-dominated domains ⋮ A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence ⋮ Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier–Stokes equations ⋮ Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System ⋮ Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model ⋮ Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS ⋮ Three interior penalty DG methods for stationary incompressible magnetohydrodynamics ⋮ A Crank-Nicolson discontinuous Galerkin pressure-projection method for the hydrodynamic and sediment transport model

Uses Software

• drp-benchmarks

Cites Work

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