Conservative local discontinuous Galerkin method for compressible miscible displacements in porous media

DOI10.1007/s10915-017-0571-zzbMath1397.76080OpenAlexW2762304832MaRDI QIDQ1691422

Yang Yang, Fan Yu, Nattaporn Chuenjarern, Hui Guo

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0571-z

zbMATH Keywords

error estimatecompressible miscible displacementlocal discontinuous Galerkin method

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (11)

A combined hybrid mixed element method for incompressible miscible displacement problem with local discontinuous Galerkin procedure ⋮ Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions ⋮ High-order local discontinuous Galerkin method for simulating wormhole propagation ⋮ High-order bound-preserving finite difference methods for miscible displacements in porous media ⋮ High-order bound-preserving finite difference methods for incompressible wormhole propagation ⋮ Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation ⋮ Stability analysis and error estimates of local discontinuous Galerkin methods for convection-diffusion equations on overlapping meshes ⋮ A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem ⋮ An \(h-\) adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model ⋮ High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes ⋮ Fourier analysis of local discontinuous Galerkin methods for linear parabolic equations on overlapping meshes

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