The modified upwind finite difference fractional step method for compressible two-phase displacement problem

DOI10.1007/s10255-004-0177-8zbMath1054.76064OpenAlexW1966253893MaRDI QIDQ1884649

Yi-Rang Yuan

Publication date: 5 November 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0177-8

zbMATH Keywords

convergenceseawater intrusion\(L(2)\)-error estimates

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (4)

Bound-preserving discontinuous Galerkin methods with second-order implicit pressure explicit concentration time marching for compressible miscible displacements in porous media ⋮ Bound-Preserving Discontinuous Galerkin Method for Compressible Miscible Displacement in Porous Media ⋮ High-order bound-preserving finite difference methods for miscible displacements in porous media ⋮ High-order bound-preserving discontinuous Galerkin methods for compressible miscible displacements in porous media on triangular meshes

Cites Work

• Finite difference method and analysis for three-dimensional semiconductor device of heat conduction
• Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
• Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit
• The characteristic mixed finite element method and analysis for three-dimensional moving boundary value problem
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
• A Modified Upwind Scheme for Convective Transport Equations and the Use of a Conjugate Gradient Method for the Solution of Non-Symmetric Systems of Equations
• Iterative Methods for the Localization of the Global Maximum
• Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space
• Finite Volume Methods for Convection-Diffusion Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The modified upwind finite difference fractional step method for compressible two-phase displacement problem