The finite difference method for the three-dimensional nonlinear coupled system of dynamics of fluids in porous media

DOI10.1007/s11425-004-5209-6zbMath1102.76045OpenAlexW1849203059MaRDI QIDQ854644

Yi-Rang Yuan

Publication date: 6 December 2006

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-004-5209-6

zbMATH Keywords

convergenceerror estimatessecond-order upwind fractional step schemes

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (4)

Modified characteristic finite difference fractional step method for moving boundary value problem of nonlinear percolation system ⋮ Characteristic finite difference method and application for moving boundary value problem of coupled system ⋮ The multistep finite difference fractional steps method for a class of viscous wave equations ⋮ Modified characteristic finite difference fractional step method for moving boundary value problem of percolation coupled system

Cites Work

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• The characteristic finite difference fractional step methods for compressible two-phase displacement problem
• The characteristic finite difference methods for enhanced oil recovery simulation and \(L^ 2\) estimates
• Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit
• The upwind finite difference fractional steps method for combinatorial system of dynamics of fluids in porous media and its application
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space
• Finite Volume Methods for Convection-Diffusion Problems

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