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    A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations

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    ‏‏بدون عنوان.pdf
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    Type
    Article
    Authors
    Louaked, Mohammed
    Seloula, Nour
    Sun, Shuyu cc
    Trabelsi, Saber
    KAUST Department
    Computational Transport Phenomena Lab
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2016-01-01
    Permanent link to this record
    http://hdl.handle.net/10754/662442
    
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    Abstract
    In this work, we study the Brinkman-Forchheimer equations for unsteady flows. We prove the continuous dependence of the solution on the Brinkman’s and Forchheimer’s coefficients as well as the initial data and external forces. Next, we propose and study a perturbed compressible system that approximate the Brinkman-Forchheimer equations. Finally, we propose a time discretization of the perturbed system by a semi-implicit Euler scheme and next a lowest-order Raviart-Thomas element is applied for spatial discretization. Some numerical results are given.
    Sponsors
    The research of S. Trabelsi reported in this publication was supported by the King Abdullah University of Science and Technology. The authors warmly acknowledge Amgad Salama for valuable comments and discussions and his suggestions concerning the numerical part.
    Publisher
    Khayyam Publishing, Inc.
    Journal
    Differential and Integral Equations
    Additional Links
    https://projecteuclid.org/euclid.die/1423055233
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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