On convergence of finite volume schemes for one-dimensional two-phase flow in porous media

Journal of Computational and Applied Mathematics

Volumn 145, Issue 1, 2002, Pages 31-48

  Afif, M ^a   Amaziane, B ^b  

^a CADI AYYAD UNIVERSITY   (Morocco)

^b UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

Author keywords

Degenerate parabolic equation; Finite volume method; Nonlinear convection diffusion; Porous media

Indexed keywords

AQUIFERS; COMPUTER SIMULATION; FINITE VOLUME METHOD; GROUNDWATER; PETROLEUM RESERVOIRS; POROUS MATERIALS;

CONVECTION-DIFFUSION EQUATION;

MATHEMATICAL TECHNIQUES;

AQUIFER; FINITE VOLUME TECHNIQUE; GROUNDWATER; HYDROCARBON RESERVOIR; LIQUID-LIQUID TWO-PHASE FLOW; ONE-DIMENSIONAL FLOW; POROUS MEDIUM;

EID: 0036682315     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00534-9     Document Type: Article

References (24)

1. Quasilinear elliptic-parabolic differential equation
2. The existence of weak solutions to single porosity and simple dual porosity models of two-phase incompressible flow
3. A nonlinear mixed finite element method for a degenerate parabolic equation arising in flow in porous media
4. Mixed-hybrid finite elements and cell-centred finite volumes for two-phase flow in porous media
5. A finite-element method for the 1-D water flooding problem with gravity
6. Fully-discrete finite element analysis of multiphase flow in groundwater hydrology
7. Godunov-mixed methods for advection-diffusion equations in multidimensions
8. Measure theory and fine properties of functions
9. Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
10. Schémas de volumes finis pour les problèmes d'écoulements en milieu poreux
11. The finite volume method
12. Analyse Mathématique de Modèles non Linéaires de l'Ingénierie Pétroliè
13. Finite volume schemes for conservation laws of mixed type
14. An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh
15. On the uniqueness and stability of BV solution for nonlinear diffusion equations
16. Finite volume methods for convection-diffusion problems
17. Convergence of finite volumes schemes for an elliptic-hyperbolic system with boundary conditions