A one-dimensional moving grid solution for the coupled non-linear equations governing multiphase flow in porous media. 1: Model development

1992 ◽  
Vol 14 (1) ◽  
pp. 25-45 ◽  
Author(s):  
Amir Gamliel ◽  
Linda M. Abriola
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Linear Equations ◽  
Model Development ◽  
Flow In Porous Media ◽  
Moving Grid ◽  
One Dimensional ◽  
Non Linear ◽  
Grid Solution ◽  
Non Linear Equations

scholarly journals Quantification of non-linear multiphase flow in porous media

2020 ◽  
Author(s):  
Yihuai Zhang ◽  
Branko Bijeljic ◽  
Ying Gao ◽  
Qingyang Lin ◽  
Martin Blunt
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Flow In Porous Media ◽  
Non Linear

scholarly journals A master exceptional field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Guillaume Bossard ◽  
Axel Kleinschmidt ◽  
Ergin Sezgin
Keyword(s):  
Field Theory ◽  
Gauge Invariance ◽  
Sigma Model ◽  
Linear Equations ◽  
Field Theories ◽  
Gauge Invariant ◽  
Non Linear ◽  
Non Linear Equations

Abstract We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.

scholarly journals An open-source toolbox for multiphase flow in porous media

2015 ◽  
Vol 187 ◽  
pp. 217-226 ◽  
Author(s):  
P. Horgue ◽  
C. Soulaine ◽  
J. Franc ◽  
R. Guibert ◽  
G. Debenest
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Open Source ◽  
Flow In Porous Media
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