Numerical method for three-dimensional nonlinear convection-dominated problem of dynamics of fluids in porous media

DOI10.1007/s10483-006-0515-1zbMath1178.76266OpenAlexW2021388285MaRDI QIDQ944685

Yi-Rang Yuan, Ning Du, Yu-Ji Han, Aijie Cheng, Wenqia Wang

Publication date: 17 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-0515-1

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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)

Cites Work

• Unnamed Item
• The characteristic finite difference methods for enhanced oil recovery simulation and \(L^ 2\) estimates
• 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