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    Linear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHD

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    SongGaoThesis-1.pdf
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    Description:
    Song Gao Final Thesis
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    Type
    Thesis
    Authors
    Gao, Song
    Advisors
    Samtaney, Ravi cc
    Committee members
    Samtaney, Ravi cc
    Stenchikov, Georgiy L. cc
    Thoroddsen, Sigurdur T cc
    Program
    Mechanical Engineering
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Date
    2013-05
    Embargo End Date
    2014-05-14
    Permanent link to this record
    http://hdl.handle.net/10754/292323
    
    Metadata
    Show full item record
    Access Restrictions
    At the time of archiving, the student author of this thesis opted to temporarily restrict access to it. The full text of this thesis became available to the public after the expiration of the embargo on 2014-05-14.
    Abstract
    The Richtmyer-Meshkov instability occurs when density-stratified interfaces are impulsively accelerated, typically by a shock wave. We present a numerical method to simulate the Richtmyer-Meshkov instability in cylindrical geometry. The ideal MHD equations are linearized about a time-dependent base state to yield linear partial differential equations governing the perturbed quantities. Convergence tests demonstrate that second order accuracy is achieved for smooth flows, and the order of accuracy is between first and second order for flows with discontinuities. Numerical results are presented for cases of interfaces with positive Atwood number and purely azimuthal perturbations. In hydrodynamics, the Richtmyer-Meshkov instability growth of perturbations is followed by a Rayleigh-Taylor growth phase. In MHD, numerical results indicate that the perturbations can be suppressed for sufficiently large perturbation wavenumbers and magnetic fields.
    Citation
    Gao, S. (2013). Linear Simulations of the Cylindrical Richtmyer-Meshkov Instability in Hydrodynamics and MHD. KAUST Research Repository. https://doi.org/10.25781/KAUST-24H7Q
    DOI
    10.25781/KAUST-24H7Q
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-24H7Q
    Scopus Count
    Collections
    MS Theses; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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