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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Shock waves 10 (2000), S. 113-117 
    ISSN: 1432-2153
    Keywords: Key words: Unsteady oblique shock waves, Unsteady to steady velocity transformation, Sensitivity analysis, Shock capturing and shock fitting algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics , Technology
    Notes: Abstract. A spatially and temporally local analysis is provided for unsteady, oblique shock waves, in which the flow is assumed to be two-dimensional or axisymmetric. Three unsteady parameters, in a laboratory frame, are viewed as the known independent variables. These are the upstream Mach number, the shock Mach number, and the angle of the shock relative to the instantaneous upstream velocity. Other steady and unsteady parameters, such as the velocity turn angles and downstream Mach numbers, are evaluated in closed form, in terms of these three quantities. Trends are assessed, and a sensitivity analysis is provided. It is suggested that the theory may find application in converting a shock capturing algorithm, at an early time during the computational process, into a shock fitting algorithm.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Shock waves 10 (2000), S. 179-184 
    ISSN: 1432-2153
    Keywords: Key words: Unsteady curved shock wave, Shock generated vorticity, Single Mach reflection pattern
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics , Technology
    Notes: Abstract. A two-dimensional theory is developed for the vorticity just downstream of a curved, unsteady shock wave. By utilizing Crocco's equation, an explicit formula is obtained for the vorticity that does not require a perfect gas and that holds for arbitrary conditions upstream of the shock wave. The analysis is applied to the flow just downstream of the reflected shock that occurs in a single-Mach reflection pattern. Flow conditions are based on an interferometric photograph of Ben-Dor and Glass (1978). In this case, the reflected shock is weak everywhere from its upstream intersection with the wall to the triple point. The vorticity has a singularity and a change of sign near the triple point that indicates the presence of a weak shear layer downstream of this location.
    Type of Medium: Electronic Resource
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