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The Use of Dual Number Automatic Differentiation With Sensitivity Analysis to Investigate Physical Models
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 ...
Models for Crenulation of a Converging Shell
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 ...
Computational Studies of Two Dimensional Rayleigh Taylor Driven Mixing for a Tilted Rig
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A timedependent, incompressible, turbulent mixing problem, referred here to as the “tiltedrig,†is defined, based results from an experiment that involved the introduction of a largescale overturning motion, with a ...
The Tilted Rocket Rig: A Rayleigh–Taylor Test Case for RANS Models1
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 ...