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[PDF] Top 20 Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

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Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

... potential for the numerical solution of difficult to solve partial differential equations have led to large amount of re- search in domain decomposition ...methods. Domain ... Voir le document complet

164

Total-velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure

Total-velocity-based finite volume discretization of two-phase Darcy flow in highly heterogeneous media with discontinuous capillary pressure

... two-phase Darcy flow in heterogeneous porous media in total velocity ...types. In Section 3 , our fully implicit TPFA HU discretization is detailed based on a classical ... Voir le document complet

36

Robust domain decomposition methods for symmetric positive definite problems

Robust domain decomposition methods for symmetric positive definite problems

... with heterogeneous coefficients Algebraic Multigrid Techniques may build aggregates (the multigrid counterpart for subdomains) which do not resolve the hetero- geneities and hence may lead to slow ... Voir le document complet

219

Numerical simulation of two-phase inertial flow in heterogeneous porous media

Numerical simulation of two-phase inertial flow in heterogeneous porous media

... lies in the correct estimation of the velocity-dependent part of the ...mobilities. For this reason, special care must be taken in treat- ing these ...different methods were considered: the ... Voir le document complet

25

Scalable Domain Decomposition Preconditioners for Heterogeneous Elliptic Problems

Scalable Domain Decomposition Preconditioners for Heterogeneous Elliptic Problems

... iterative methods. As the current trend in high performance computing evolve towards more and more concurrency, re- cent results using domain decomposition preconditioners [20] and multigrid ... Voir le document complet

13

Domain decomposition methods for the diffusion equation with low-regularity solution

Domain decomposition methods for the diffusion equation with low-regularity solution

... of domain decomposition methods for the mixed diffusion equation has already been studied for Darcy’s law, see ...also for Fick’s law and the neutron diffusion equation, see e.g. ... Voir le document complet

23

Two-Level Domain Decomposition Methods for Highly Heterogeneous Darcy Equations. Connections with Multiscale Methods

Two-Level Domain Decomposition Methods for Highly Heterogeneous Darcy Equations. Connections with Multiscale Methods

... mandatory for its use in subsurface modeling. As explained in Section ...written in terms of the original model i.e. in terms of partial differential ...space in a finite volume ... Voir le document complet

24

Hybrid Dimensional Modelling and Discretization of Two Phase Darcy Flow through DFN in Porous Media

Hybrid Dimensional Modelling and Discretization of Two Phase Darcy Flow through DFN in Porous Media

... time in seconds. 5 Conclusion The hybrid dimensional model for two phase flow through fractured porous media with pressure dis- continuities at the mf intersecions presented here completes the ... Voir le document complet

23

Derivation of a macroscopic model for two-phase non-Darcy flow in homogeneous porous media using volume averaging

Derivation of a macroscopic model for two-phase non-Darcy flow in homogeneous porous media using volume averaging

... Handle ID: . http://hdl.handle.net/10985/9981 To cite this version : Ali Akbar ABBASIAN ARANI, Didier LASSEUX, Azita AHMADI-SENICHAULT - Derivation of a macroscopic model for two-phase non-Darcy flow ... Voir le document complet

2

A robust VAG scheme for a two-phase flow problem in heterogeneous porous media

A robust VAG scheme for a two-phase flow problem in heterogeneous porous media

... } for all k ∈ ...variable for all d.o.f.; then for the cells and the nodal ...while for the nodes s located at rock type interfaces we invoke the variable switching based on a parametrization ... Voir le document complet

8

Algebraic Methods for Geometric Modeling

Algebraic Methods for Geometric Modeling

... Marching methods involve generating point sequences of an intersection curve branch by stepping from a given point on the required curve in a direction prescribed by the curve’s local differential geometry [ ... Voir le document complet

170

Energy stable numerical methods for porous media flow type problems

Energy stable numerical methods for porous media flow type problems

... schemes for (1) – (4) or more simply for (9) that make the discrete counterpart of the energy decay with ...capture in an accu- rate way the long-time behavior of the continuous model, and in ... Voir le document complet

19

Corners and stable optimized domain decomposition methods for the Helmholtz problem

Corners and stable optimized domain decomposition methods for the Helmholtz problem

... equation in polygonal domains in dimension ...used in the context of domain decomposition where various stable algorithms are constructed and ...operator for the Domain ... Voir le document complet

33

Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media

Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media

... 3 in a triangular equilateral face of center x i , y = z = 0 and of edge size 1 ...centimeters in the matrix due to the low permeability of the reser- ...Therefore in order to obtain an accurate ... Voir le document complet

23

Fictitious domain methods for two-phase flow energy balance computations in nuclear components

Fictitious domain methods for two-phase flow energy balance computations in nuclear components

... used for a Dirichlet B.C. seems to be in O(η 1/2 ...results in an industrial context We present here an application of the FDMs of Sections ...to in- dustrial engineering computations of the ... Voir le document complet

32

A nonlinear domain decomposition method to couple compositional gas liquid Darcy and free gas flows

A nonlinear domain decomposition method to couple compositional gas liquid Darcy and free gas flows

... that for a stopping criterion ǫ = 10 − 6 in (8), the domain decomposition algorithm converges in an average of ...step. In practice, one or two iterations are enough to obtain ... Voir le document complet

9

A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows

A domain decomposition method to couple nonisothermal compositional gas liquid Darcy and free gas flows

... model for the velocity and for the pressure in the free-flow domain with a Dirichlet boundary condition for the velocity (iii) the molar and energy transport in the ... Voir le document complet

36

Coupling of a two phase gas liquid 3D Darcy flow in fractured porous media with a 1D free gas flow

Coupling of a two phase gas liquid 3D Darcy flow in fractured porous media with a 1D free gas flow

... Introduction Flow and transport processes in domains composed of a porous medium and an adjacent free- flow region appear in a wide range of industrial and environmental ...is in ... Voir le document complet

19

Domain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms

Domain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms

... [5]. In particular, we investigate the use of the high order hierarchical Whitney forms on tetrahedra proposed in [6], which associate the higher order degrees of freedom to the edges, faces and volumes of ... Voir le document complet

4

A Hybrid High-Order method for Darcy flows in fractured porous media

A Hybrid High-Order method for Darcy flows in fractured porous media

... problems in the context of polygo- nal methods, even when the fracture discretization is nonconforming in the classical ...illustrated in Figure 2 , where the fracture lies at the intersection ... Voir le document complet

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