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    Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations

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    Thesis_Jul_19.pdf
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    Final thesis
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    Type
    Thesis
    Authors
    Sayyari, Mohammed cc
    Advisors
    Parsani, Matteo cc
    Committee members
    Keyes, David E. cc
    Knio, Omar cc
    Program
    Applied Mathematics and Computational Science
    KAUST Department
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Date
    2018-07
    Permanent link to this record
    http://hdl.handle.net/10754/628048
    
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    Abstract
    In this thesis, we study the entropy stability of the compressible Navier-Stokes model along with a modification of the model. We use the discretization of the inviscid terms with the Ismail-Roe entropy conservative flux. Then, we study entropy stability of the augmentation of viscous, heat and mass diffusion finite difference approximations to the entropy conservative flux. Additionally, we look at different choices of the diffusion coefficient that arise from combining the viscous, heat and mass diffusion terms. Lastly, we present numerical results of the discretizations comparing the effects of the viscous terms on the oscillations near the shock and show that they preserve entropy stability.
    Citation
    Sayyari, M. (2018). Entropy Stability of Finite Difference Schemes for the Compressible Navier-Stokes Equations. KAUST Research Repository. https://doi.org/10.25781/KAUST-6O0K3
    DOI
    10.25781/KAUST-6O0K3
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-6O0K3
    Scopus Count
    Collections
    Applied Mathematics and Computational Science Program; MS Theses; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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