## Multiscale finite-volume method for density-driven flow in porous media

### Détails

ID Serval

serval:BIB_536BB7BE64E4

Type

**Article**: article d'un périodique ou d'un magazine.

Collection

Publications

Fonds

Titre

Multiscale finite-volume method for density-driven flow in porous media

Périodique

COMPUTATIONAL GEOSCIENCES

ISSN

1420-0597

Statut éditorial

Publié

Date de publication

2008

Volume

12

Numéro

3

Pages

337-350

Langue

anglais

Notes

ISI:000258881800006

Résumé

The multiscale finite-volume (MSFV) method has been developed to solve

multiphase flow problems on large and highly heterogeneous domains

efficiently. It employs an auxiliary coarse grid, together with its

dual, to define and solve a coarse-scale pressure problem. A set of

basis functions, which are local solutions on dual cells, is used to

interpolate the coarse-grid pressure and obtain an approximate

fine-scale pressure distribution. However, if flow takes place in

presence of gravity (or capillarity), the basis functions are not good

interpolators. To treat this case correctly, a correction function is

added to the basis function interpolated pressure. This function, which

is similar to a supplementary basis function independent of the

coarse-scale pressure, allows for a very accurate fine-scale

approximation. In the coarse-scale pressure equation, it appears as an

additional source term and can be regarded as a local correction to the

coarse-scale operator: It modifies the fluxes across the coarse-cell

interfaces defined by the basis functions. Given the closure assumption

that localizes the pressure problem in a dual cell, the derivation of

the local problem that defines the correction function is exact, and no

additional hypothesis is needed. Therefore, as in the original MSFV

method, the only closure approximation is the localization assumption.

The numerical experiments performed for density-driven flow problems

(counter-current flow and lock exchange) demonstrate excellent

agreement between the MSFV solutions and the corresponding fine-scale

reference solutions.

multiphase flow problems on large and highly heterogeneous domains

efficiently. It employs an auxiliary coarse grid, together with its

dual, to define and solve a coarse-scale pressure problem. A set of

basis functions, which are local solutions on dual cells, is used to

interpolate the coarse-grid pressure and obtain an approximate

fine-scale pressure distribution. However, if flow takes place in

presence of gravity (or capillarity), the basis functions are not good

interpolators. To treat this case correctly, a correction function is

added to the basis function interpolated pressure. This function, which

is similar to a supplementary basis function independent of the

coarse-scale pressure, allows for a very accurate fine-scale

approximation. In the coarse-scale pressure equation, it appears as an

additional source term and can be regarded as a local correction to the

coarse-scale operator: It modifies the fluxes across the coarse-cell

interfaces defined by the basis functions. Given the closure assumption

that localizes the pressure problem in a dual cell, the derivation of

the local problem that defines the correction function is exact, and no

additional hypothesis is needed. Therefore, as in the original MSFV

method, the only closure approximation is the localization assumption.

The numerical experiments performed for density-driven flow problems

(counter-current flow and lock exchange) demonstrate excellent

agreement between the MSFV solutions and the corresponding fine-scale

reference solutions.

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Création de la notice

20/02/2010 13:33

Dernière modification de la notice

18/11/2016 14:33