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    An Improved Ghost-cell Immersed Boundary Method for Compressible Inviscid Flow Simulations

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    Name:
    KAUST_Thesis_Cheng.pdf
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    2.739Mb
    Format:
    PDF
    Description:
    Chi, Cheng Final Thesis
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    Type
    Thesis
    Authors
    Chi, Cheng cc
    Advisors
    Im, Hong G. cc
    Committee members
    Samtaney, Ravi cc
    Deiterding, Ralf
    Program
    Mechanical Engineering
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Date
    2015-05
    Embargo End Date
    2016-05-20
    Permanent link to this record
    http://hdl.handle.net/10754/554401
    
    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 2016-05-20.
    Abstract
    This study presents an improved ghost-cell immersed boundary approach to represent a solid body in compressible flow simulations. In contrast to the commonly used approaches, in the present work ghost cells are mirrored through the boundary described using a level-set method to farther image points, incorporating a higher-order extra/interpolation scheme for the ghost cell values. In addition, a shock sensor is in- troduced to deal with image points near the discontinuities in the flow field. Adaptive mesh refinement (AMR) is used to improve the representation of the geometry efficiently. The improved ghost-cell method is validated against five test cases: (a) double Mach reflections on a ramp, (b) supersonic flows in a wind tunnel with a forward- facing step, (c) supersonic flows over a circular cylinder, (d) smooth Prandtl-Meyer expansion flows, and (e) steady shock-induced combustion over a wedge. It is demonstrated that the improved ghost-cell method can reach the accuracy of second order in L1 norm and higher than first order in L∞ norm. Direct comparisons against the cut-cell method demonstrate that the improved ghost-cell method is almost equally accurate with better efficiency for boundary representation in high-fidelity compressible flow simulations. Implementation of the improved ghost-cell method in reacting Euler flows further validates its general applicability for compressible flow simulations.
    Citation
    Chi, C. (2015). An Improved Ghost-cell Immersed Boundary Method for Compressible Inviscid Flow Simulations. KAUST Research Repository. https://doi.org/10.25781/KAUST-LMKST
    DOI
    10.25781/KAUST-LMKST
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-LMKST
    Scopus Count
    Collections
    MS Theses; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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