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two-phase Darcy flows

Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

... dimensional Darcy flow model with continuous pressures has been the object of several ...a Two Point Flux Ap- proximation (TPFA) is proposed assuming the orthogonality of the mesh and isotropic permeability ...

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Vertex Approximate Gradient Discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media

Vertex Approximate Gradient Discretization preserving positivity for two-phase Darcy flows in heterogeneous porous media

... Introduction Two-phase Darcy flows are widely used in many subsurface applications such as oil and gas recovery, basin modeling, geological storage, geothermal energy or ...the Darcy ...

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Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

... multiphase Darcy flows, in the case of heteroge- neous anisotropic porous media and general 3D meshes used in practice to represent reservoir and basin ...single phase diffusive problems in [9], to ...

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Sequential implicit Vertex Approximate Gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure

Sequential implicit Vertex Approximate Gradient discretization of incompressible two-phase Darcy flows with discontinuous capillary pressure

... cible two-phase Darcy flows which are commonly used and well understood in the case of spatially homogeneous capillary pressure ...the two-phase flow model and only differ in the ...

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Convergence of a Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

Convergence of a Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

... multiphase Darcy flows on general polyhedral ...immiscible two-phase Darcy flow model with capillary diffusion using a global pressure ...

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Analysis of a finite volume-finite element method for Darcy-Brinkman two-phase flows in porous media

Analysis of a finite volume-finite element method for Darcy-Brinkman two-phase flows in porous media

... Darcy-Brinkman two-phase flows in porous media Houssein NASSER EL DINE (1,2) , Mazen SAAD (1) Abstract In this paper, we are interested in the displacement of two incompressible phases ...

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Formulations of two phase liquid gas compositional Darcy flows with phase transitions

Formulations of two phase liquid gas compositional Darcy flows with phase transitions

... compositional Darcy flow models ranging from immiscibility to full miscibility (see ...thermodynamics, two and tri phase Darcy flows, but with usually small capillary effects and the ...

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Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

... such that Γ i = S σ ∈F Γi σ . We will denote by F Γ the set of fracture faces S i∈I F Γ i . This geometrical discretization of Ω and Γ is denoted in the following by D. The VAG discretization has been introduced in [3] ...

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Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems

Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems

... compositional two-phase Darcy ...extended phase molar fractions and to express the thermodynamical equilibrium as comple- mentary constraints for both phases α ∈ ...compositional ...

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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

... has two aims: Providing a reduced model for two phase flows in porous media with complex Discrete Fracture Networks (DFN) and validating the reduced model by comparing numerically derived ...

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Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

... tiphase Darcy flow models, accounting for an arbitrary number of phases and phase appearance and disappear- ...multiphase Darcy flow model, and the pore vol- ume assignment procedure is ...with ...

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Hybrid dimensional modeling of multi-phase Darcy flows in fractured porous media

Hybrid dimensional modeling of multi-phase Darcy flows in fractured porous media

... 3 Two phase flow analysis ...energy. Two classes of models, dual continuum and discrete fracture models, are typically employed and possibly coupled to simulate flow and transport in fractured porous ...

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Experimental and numerical study of two-phase flows in arrays of cylinders

Experimental and numerical study of two-phase flows in arrays of cylinders

... The two-phase flow modeling at low Reynolds numbers, in which interfaces play an important role and need to be explicitly tracked, is a complex case due to numerical ...simulate two- phase flow ...

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A Simple Finite-Volume Method for Compressible Isothermal Two-Phase Flows Simulation

A Simple Finite-Volume Method for Compressible Isothermal Two-Phase Flows Simulation

... phases. Two different systems will then be derived by considering the equilibria which correpond to instantaneous relaxations due to the source ...the two-step convection-relaxation numerical strategy we ...

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Experimenting with the p4est library for AMR simulations of two-phase flows

Experimenting with the p4est library for AMR simulations of two-phase flows

... Florence Drui 1, 2 , Alexandru Fikl 2 , Pierre Kestener 2 , Samuel Kokh 2, 3 , Adam Larat 1, 4 , Vincent Le Chenadec 1 and Marc Massot 1,4 Abstract. Many physical problems involve spatial and temporal inhomogeneities ...

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Dynamics and Transfers in two phase flows with phase change in normal and microgravity conditions

Dynamics and Transfers in two phase flows with phase change in normal and microgravity conditions

... discussed two mechanisms identified that can dominate the largest fraction of the channel, bubbly and slug flow are mainly present in the channel whereas a significant part of the channel length is dominated by ...

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Towards eulerian-eulerian large eddy simulation of reactive two-phase flows

Towards eulerian-eulerian large eddy simulation of reactive two-phase flows

... carrier phase velocity at the location of the ...carrier phase energy decays due to molecular viscosity (continuous line with ...carrier phase energy (dot-dashed line with ...dispersed phase ...

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A simple and fast phase transition relaxation solver for compressible multicomponent two-phase flows

A simple and fast phase transition relaxation solver for compressible multicomponent two-phase flows

... accurate phase transition solver dedicated to unsteady multiphase flow ...liquid phase and its corresponding vapor ...gas phase instead of pure vapor, a necessary improvement in most practical ...

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Coupling rigid bodies motion with single phase and two-phase compressible flows on unstructured meshes

Coupling rigid bodies motion with single phase and two-phase compressible flows on unstructured meshes

... A Level-Set type method has been developed to track rigid bodies on unstructured meshes. Thanks to the Overbee limiter of Chiapolino et al. (2017) the method doesn’t need reinitialization, nor interface reconstruction. A ...

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Gradient Discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media

Gradient Discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media

... 3. Eymard, R., Guichard, C., Herbin, R.: Small-stencil 3d schemes for diffusive flows in porous media. ESAIM: M2AN 46, 265–290 (2010) 4. Eymard, R., Herbin, R., Gallouet, T.: Discretisation of heterogeneous and ...

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