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    The Use of Dual Number Automatic Differentiation With Sensitivity Analysis to Investigate Physical Models 

    Source: Journal of Fluids Engineering:;2013:;volume( 135 ):;issue: 006:;page 61206
    Author(s): Andrews, Malcolm J.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Local sensitivities are explored using dualnumberautomaticdifferentiation (DNAD) across three mathematical models of physical systems that have increasing complexity. The models are: (1) a model for the approach of a sphere ...
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    Models for Crenulation of a Converging Shell 

    Source: Journal of Fluids Engineering:;2014:;volume( 136 ):;issue: 008:;page 84501
    Author(s): Margolin, Len G.; Andrews, Malcolm J.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We describe two models for the growth of perturbations on the inner surface of a converging shell: one for a solid shell and one for a shell of incompressible fluid. We consider the cases of both cylindrically and spherically ...
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    Computational Studies of Two Dimensional Rayleigh Taylor Driven Mixing for a Tilted Rig 

    Source: Journal of Fluids Engineering:;2014:;volume( 136 ):;issue: 009:;page 91212
    Author(s): Andrews, Malcolm J.; Youngs, David L.; Livescu, Daniel; Wei, Tie
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A timedependent, incompressible, turbulent mixing problem, referred here to as the “tiltedrig,â€‌ is defined, based results from an experiment that involved the introduction of a largescale overturning motion, with a ...
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    The Tilted Rocket Rig: A Rayleigh–Taylor Test Case for RANS Models1 

    Source: Journal of Fluids Engineering:;2014:;volume( 136 ):;issue: 009:;page 91301
    Author(s): Denissen, Nicholas A.; Rollin, Bertrand; Reisner, Jon M.; Andrews, Malcolm J.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: ReynoldsAveraged Navier–Stokes (RANS) models remain the most common design tool in a wide variety of fluid mixing applications. This includes variabledensity turbulent mixing as occurs in inertial confinement fusion. The ...
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