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  • Fluid Mechanics and Heat Transfer  (1)
  • Fluid Mechanics and Thermodynamics; Aeronautics (General)  (1)
  • Numerical Analysis; Astronautics (General)  (1)
  • 1
    Publication Date: 2019-07-13
    Description: Despite decades of development of unstructured mesh methods, high-fidelity time-accurate simulations are still predominantly carried out on structured, or unstructured hexahedral meshes by using high-order finite-difference, weighted essentially non-oscillatory (WENO), or hybrid schemes formed by their combinations. In this work, the space-time conservation element solution element (CESE) method is used to simulate several flow problems including supersonic jet/shock interaction and its impact on launch vehicle acoustics, and direct numerical simulations of turbulent flows using tetrahedral meshes. This paper provides a status report for the continuing development of the space-time conservation element solution element (CESE) numerical and software framework under the Revolutionary Computational Aerosciences (RCA) project. Solution accuracy and large-scale parallel performance of the numerical framework is assessed with the goal of providing a viable paradigm for future high-fidelity flow physics simulations.
    Keywords: Fluid Mechanics and Thermodynamics; Aeronautics (General)
    Type: NF1676L-21721 , 2016 AIAA SciTech Forum and Exposition; Jan 04, 2016 - Jan 08, 2016; San Diego, CA; United States
    Format: application/pdf
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  • 2
    Publication Date: 2019-07-10
    Description: Without resorting to special treatment for each individual test case, the 1D and 2D CE/SE shock-capturing schemes described previously (in Part I) are used to simulate flows involving phenomena such as shock waves, contact discontinuities, expansion waves and their interactions. Five 1D and six 2D problems are considered to examine the capability and robustness of these schemes. Despite their simple logical structures and low computational cost (for the 2D CE/SE shock-capturing scheme, the CPU time is about 2 micro-secs per mesh point per marching step on a Cray C90 machine), the numerical results, when compared with experimental data, exact solutions or numerical solutions by other methods, indicate that these schemes can accurately resolve shock and contact discontinuities consistently.
    Keywords: Fluid Mechanics and Heat Transfer
    Type: NASA/TM-1998-208844 , E-11457 , NAS 1.15:208844
    Format: application/pdf
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  • 3
    Publication Date: 2019-07-12
    Description: The space-time Conservation Element and Solution Element (CESE) method for solving conservation laws is examined for its development motivation and design requirements. The characteristics of the resulting scheme are discussed. The discretization of the Euler equations is presented to show readers how to construct a scheme based on the CESE method. The differences and similarities between the CESE method and other traditional methods are discussed. The strengths and weaknesses of the method are also addressed.
    Keywords: Numerical Analysis; Astronautics (General)
    Type: NASA/TM-2015-218743 , E-19071 , GRC-E-DAA-TN21438
    Format: application/pdf
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