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  • 1
    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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  • 2
    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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