On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media
DOI10.1016/j.apnum.2019.07.009zbMath1448.76155arXiv1707.00035OpenAlexW2957986923MaRDI QIDQ2273077
Sourav Dutta, Prabir K. Daripa
Publication date: 18 September 2019
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.00035
convergence analysisfinite difference methodmodified method of characteristicserror estimatenumerical simulationsmulticomponent two-phase flow
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) Three or more component flows (76T30)
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Cites Work
- Unnamed Item
- Modelling two-phase incompressible flow in porous media using mixed hybrid and discontinuous finite elements
- Modeling compositional compressible two-phase flow in porous media by the concept of the global pressure
- A numerical method for solving variable coefficient elliptic equation with interfaces
- On the numerical simulation of waterflooding of heterogeneous petroleum reservoirs
- New Cartesian grid methods for interface problems using the finite element formulation
- Modeling and simulation of surfactant-polymer flooding using a new hybrid method
- A triangle based mixed finite element -- finite volume technique for modeling two phase flow through porous media
- The modified method of characteristics with adjusted advection
- A second order finite difference analog of the first biharmonic boundary value problem
- Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
- Optimal a priori error estimates for the $hp$-version of the local discontinuous Galerkin method for convection--diffusion problems
- An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
- Uniform Estimates for Eulerian–Lagrangian Methods for Singularly Perturbed Time-Dependent Problems
- Finite Difference Methods for Two-Phase Incompressible Flow in Porous Media
- Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
- Polymer Floods: A Case Study of Nonlinear Wave Analysis and of Instability Control in Tertiary Oil Recovery
- Galerkin Methods for Miscible Displacement Problems in Porous Media
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- An Optimal-Order Error Estimate for an ELLAM Scheme for Two-Dimensional Linear Advection-Diffusion Equations
- Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- Computational Methods for Multiphase Flows in Porous Media
- Mathematical study of a petroleum-engineering scheme
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