Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    A note on variational multiscale methods for high-contrast heterogeneous porous media flows with rough source terms

    Access Status
    Fulltext not available
    Authors
    Calo, Victor
    Efendiev, Y.
    Galvis, J.
    Date
    2011
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Calo, V. and Efendiev, Y. and Galvis, J. 2011. A note on variational multiscale methods for high-contrast heterogeneous porous media flows with rough source terms. Advances in Water Resources. 34 (9): pp. 1177-1185.
    Source Title
    Advances in Water Resources
    DOI
    10.1016/j.advwatres.2010.12.011
    ISSN
    0309-1708
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51487
    Collection
    • Curtin Research Publications
    Abstract

    In this short note, we discuss variational multiscale methods for solving porous media flows in high-contrast heterogeneous media with rough source terms. Our objective is to separate, as much as possible, subgrid effects induced by the media properties from those due to heterogeneous source terms. For this reason, enriched coarse spaces designed for high-contrast multiscale problems are used to represent the effects of heterogeneities of the media. Furthermore, rough source terms are captured via auxiliary correction equations that appear in the formulation of variational multiscale methods [23]. These auxiliary equations are localized and one can use additive or multiplicative constructions for the subgrid corrections as discussed in the current paper. Our preliminary numerical results show that one can capture the effects due to both spatial heterogeneities in the coefficients (such as permeability field) and source terms (e.g., due to singular well terms) in one iteration. We test the cases for both smooth source terms and rough source terms and show that with the multiplicative correction, the numerical approximations are more accurate compared to the additive correction. © 2010 Elsevier Ltd.

    Related items

    Showing items related by title, author, creator and subject.

    • Fractals and fuzzy sets for modelling the heterogenity and spatial complexity of urban landscapes using multiscale remote sensing data
      Islam, Zahurul (2004)
      This research presents models for the analysis of textural and contextual information content of multiscale remote sensing to select an appropriate scale for the correct interpretation and mapping of heterogeneous urban ...
    • Optimum use of the flexible pavement condition indicators in pavement management system
      Shiyab, Adnan M S H (2007)
      This study aimed at investigating the current practices and methods adopted by roads agencies around the world with regard to collection, analysis and utilization of the data elements pertaining to the main pavement ...
    • Global-local nonlinear model reduction for flows in heterogeneous porous media
      Alotaibi, M.; Calo, Victor; Efendiev, Y.; Galvis, J.; Ghommem, M. (2015)
      In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM), to reduce the ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.