# two-phase Darcy flows

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

**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

**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

**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

**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

**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

**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

**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 ...

35

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

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

**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

**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

**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 ...

20

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

**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 ...

136

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

**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

**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

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

**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 ...

141

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

**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**...

253

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

**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

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### Gradient Discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media

**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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