Multiscale estimation with spline wavelets, with application to two-phase porous-media flow

2000 ◽  
Vol 16 (2) ◽  
pp. 315-332 ◽  
Author(s):  
Geir Nævdal ◽  
Trond Mannseth ◽  
Kari Brusdal ◽  
Jan-Erik Nordtvedt
Keyword(s):  
Porous Media ◽  
Porous Media Flow ◽  
Two Phase ◽  
Spline Wavelets

scholarly journals Controllability and observability in two-phase porous media flow

2013 ◽  
Vol 17 (5) ◽  
pp. 773-788 ◽  
Author(s):  
Jorn F. M. Van Doren ◽  
Paul M. J. Van den Hof ◽  
Okko H. Bosgra ◽  
Jan Dirk Jansen
Keyword(s):  
Porous Media ◽  
Porous Media Flow ◽  
Two Phase ◽  
Controllability And Observability

scholarly journals Convergence of nonlinear finite volume schemes for two-phase porous media flow on general meshes

2020 ◽  
Author(s):  
Léo Agélas ◽  
Martin Schneider ◽  
Guillaume Enchéry ◽  
Bernd Flemisch
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
A Priori ◽  
Porous Media Flow ◽  
Finite Volume Schemes ◽  
Two Phase ◽  
Finite Volume Discretization ◽  
Flux Approximation ◽  
Specific Scheme ◽  
Flow Through

Abstract In this work we present an abstract finite volume discretization framework for incompressible immiscible two-phase flow through porous media. A priori error estimates are derived that allow us to prove the existence of discrete solutions and to establish the proof of convergence for schemes belonging to this framework. In contrast to existing publications the proof is not restricted to a specific scheme and it assumes neither symmetry nor linearity of the flux approximations. Two nonlinear schemes, namely a nonlinear two-point flux approximation and a nonlinear multipoint flux approximation, are presented, and some properties of these schemes, e.g. saturation bounds, are proven. Furthermore, the numerical behavior of these schemes (e.g. accuracy, coercivity, efficiency or saturation bounds) is investigated for different test cases for which the coercivity is checked numerically.

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