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

    An energy-stable generalized-α method for the Swift-Hohenberg equation

    261774.pdf (9.651Mb)
    Access Status
    Open access
    Authors
    Sarmiento, A.
    Espath, L.
    Vignal, P.
    Dalcin, L.
    Parsani, M.
    Calo, Victor
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Sarmiento, A. and Espath, L. and Vignal, P. and Dalcin, L. and Parsani, M. and Calo, V. 2017. An energy-stable generalized-α method for the Swift-Hohenberg equation. Journal of Computational and Applied Mathematics. 344: pp. 836-851.
    Source Title
    Journal of Computational and Applied Mathematics
    DOI
    10.1016/j.cam.2017.11.004
    ISSN
    0377-0427
    School
    School of Earth and Planetary Sciences (EPS)
    URI
    http://hdl.handle.net/20.500.11937/63144
    Collection
    • Curtin Research Publications
    Abstract

    We propose a second-order accurate energy-stable time-integration method that controls the evolution of numerical instabilities introducing numerical dissipation in the highest-resolved frequencies. Our algorithm further extends the generalized-a method and provides control over dissipation via the spectral radius. We derive the first and second laws of thermodynamics for the Swift-Hohenberg equation and provide a detailed proof of the unconditional energy stability of our algorithm. Finally, we present numerical results to verify the energy stability and its second-order accuracy in time.

    Related items

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

    • Energy balance of biodiesel production from rapeseed in Western Australia
      Rustandi, Ferry (2009)
      Increasing energy consumption in Australian transport sector, rapidly depleting amount of Australian oil reserves, and the environmental concerns that arise from the associated greenhouse gas emissions produced by the ...
    • Energy efficient design in housing of small floor area : appropriateness in housing for the aged
      Karol, Elizabeth (2003)
      This thesis seeks to address energy efficient design in a temperate climate in typical small, medium density housing, particularly in housing for the aged. The connections between energy efficient design and small, medium ...
    • A holistic approach to energy efficiency assessment in plastic processing
      Schlüter, B.; Rosano, Michele (2015)
      © 2016 Elsevier Ltd. Significant increases in industry energy efficiency are crucial for the transformation of the world's energy systems. Many production sites offer high energy savings capabilities, and if these are ...
    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.