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Volume 9, Issue 1
Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations

L. Jiang, J. E. Aarnes & Y. Efendiev

Int. J. Numer. Anal. Mod., 9 (2012), pp. 115-131.

Published online: 2012-09

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  • Abstract

In this paper, we present the analysis of recently introduced multiscale finite element methods that employ limited global information. In particular, these methods use single-phase flow information for the construction of more accurate solution for two-phase immiscible flow dynamics in heterogeneous porous media. We consider the analysis of Galerkin multiscale finite element method as well as mixed multiscale finite element method. Our analysis assumes that the fine-scale features of two-phase flow dynamics strongly depend on single-phase flow. Under this assumption, we present the analysis of multiscale finite element methods that use single-phase flow information. Numerical results are presented which demonstrate that MsFEM using limited global information is more accurate and converges as the coarse mesh size decreases.

  • Keywords

Galerkin multiscale finite element method, mixed multiscale finite element method, global information, two-phase flows.

  • AMS Subject Headings

65N30, 34E13, 34K28

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-9-115, author = {Jiang , L.Aarnes , J. E. and Efendiev , Y.}, title = {Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2012}, volume = {9}, number = {1}, pages = {115--131}, abstract = {

In this paper, we present the analysis of recently introduced multiscale finite element methods that employ limited global information. In particular, these methods use single-phase flow information for the construction of more accurate solution for two-phase immiscible flow dynamics in heterogeneous porous media. We consider the analysis of Galerkin multiscale finite element method as well as mixed multiscale finite element method. Our analysis assumes that the fine-scale features of two-phase flow dynamics strongly depend on single-phase flow. Under this assumption, we present the analysis of multiscale finite element methods that use single-phase flow information. Numerical results are presented which demonstrate that MsFEM using limited global information is more accurate and converges as the coarse mesh size decreases.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/615.html} }
TY - JOUR T1 - Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations AU - Jiang , L. AU - Aarnes , J. E. AU - Efendiev , Y. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 115 EP - 131 PY - 2012 DA - 2012/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/615.html KW - Galerkin multiscale finite element method, mixed multiscale finite element method, global information, two-phase flows. AB -

In this paper, we present the analysis of recently introduced multiscale finite element methods that employ limited global information. In particular, these methods use single-phase flow information for the construction of more accurate solution for two-phase immiscible flow dynamics in heterogeneous porous media. We consider the analysis of Galerkin multiscale finite element method as well as mixed multiscale finite element method. Our analysis assumes that the fine-scale features of two-phase flow dynamics strongly depend on single-phase flow. Under this assumption, we present the analysis of multiscale finite element methods that use single-phase flow information. Numerical results are presented which demonstrate that MsFEM using limited global information is more accurate and converges as the coarse mesh size decreases.

Jiang , L.Aarnes , J. E. and Efendiev , Y.. (2012). Some Multiscale Results Using Limited Global Information for Two-Phase Flow Simulations. International Journal of Numerical Analysis and Modeling. 9 (1). 115-131. doi:
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