Interferometric Studies of Faster than Sound Phenomena. Part II. Analysis of Supersonic Air Jets

Ladenburg, R.; Voorhis, C. C. Van; Winckler, J. R.

doi:10.1103/physrev.76.662

Cited by 66 publications

(25 citation statements)

References 8 publications

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“…In the late stages of a star's evolution, jets arising as a result of magneto-rotational stellar collapse 10 may play an important role in the explosion of some types of supernovae. 11 Laboratory studies of supersonic jets [12][13][14] have until recently been limited to relatively low pressure and Mach number, and to temperatures for which radiation transport is not an important mechanism. Consequently, detailed understanding of many phenomena for high Mach-number and radiative jets has been founded solely in numerical simulation using radiation hydrodynamic codes employing a variety of different algorithms for approximate solution of the fundamental nonlinear hydrodynamic equations.…”

Section: Introductionmentioning

confidence: 99%

Supersonic jet and shock interactions

et al. 2002

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Supersonic fluid flow and the interaction of strong shock waves to produce jets of material are ubiquitous features of inertial confinement fusion ͑ICF͒, astrophysics, and other fields of high energy-density science. The availability of large laser systems provides an opportunity to investigate such hydrodynamic systems in the laboratory, and to test their modeling by radiation hydrocodes. We describe experiments to investigate the propagation of a structured shock front within a radiation-driven target assembly, the formation of a supersonic jet of material, and the subsequent interaction of this jet with an ambient medium in which a second, ablatively driven shock wave is propagating. The density distribution within the jet, the Kelvin-Helmholz roll-up at the tip of the jet, and the jet's interaction with the counterpropagating shock are investigated by x-ray backlighting. The experiments were designed and modeled using radiation hydrocodes developed by Los Alamos National Laboratory, AWE, and Lawrence Livermore National Laboratory. The same hydrocodes are being used to model a large number of other ICF and high energy-density physics experiments. Excellent agreement between the different simulations and the experimental data is obtained, but only when the full geometry of the experiment, including both laser-heated hohlraum targets ͑driving the jet and counter-propagating shock͒, is included. The experiments were carried out at the University of Rochester's Omega laser ͓J. M. Soures et al., Phys. Plasmas 3, 2108 ͑1996͔͒.

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Section: Introductionmentioning

confidence: 99%

Supersonic jet and shock interactions

et al. 2002

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“…where the mixture density of a two-phase dust-gas flow must be, mix Ladenburg et al [1949] and Lewis and Carlson [1964] have experimentally showed that the higher the value of K, the further downstream (i.e., the further away from the nozzle) the position of the first Mach disk. The higher the value of χ, the further upstream (i.e., the closer to the nozzle) the position of the first Mach disk.…”

Section: Validation Against Under-expanded Jetsmentioning

confidence: 99%

“…In a typical plinian cloud, the lower, thrusting, momentum-driven part has all the properties of underexpanded jets expanding into the atmosphere [Kieffer and Sturtevant, 1984;Valentine, 1998]; while the upper, turbulent, buoyantly-driven part is controlled by the atmospheric drag and the dissipation is induced by multiphase turbulence [Dartevelle, 2005]. As a matter of fact, the physics of underexpanded jets [e.g., Ladenburg et al, 1949;Lewis and Carlson, 1964;Kieffer and Sturtevant, 1984] and multiphase turbulent jets [e.g., Hishida et al, 1987;Violet et al, 1992] is well known and documented with accurate measurements to be used for validation purposes.…”

Section: Figurementioning

confidence: 99%

“…One class of validations involves the development of single phase and multiphase jets under supersonic conditions [Ladenburg et al, 1949;Lewis and Carlson, 1964]. The second independent class of validation experiments involves the development of single-phase and multiphase confined jets under highly turbulent conditions [Hishida et al, 1987].…”

Section: Phase 3 -Assessing the Model Credibility: The Verification Amentioning

confidence: 99%

“…Thorough laboratory studies of momentum-driven single-to multi-phase supersonic and underexpanded jets [e.g., Ladenburg et al, 1949;Lewis and Carlson, 1964;Kieffer, 1984] provide quality and well-constrained analog experimental data to validate numerical codes against such phenomenology.…”

Section: Validation Against Under-expanded Jetsmentioning

confidence: 99%

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From model conception to verification and validation, a global approach to multiphase Navier-Stoke models with an emphasis on volcanic explosive phenomenology

Dartevelle¹

2007

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Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows

Greenshields

Weller²,

Gasparini³

et al. 2009

Numerical Methods in Fluids

420

182

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SUMMARYWe describe the implementation of a computational fluid dynamics solver for the simulation of high-speed flows. It comprises a finite volume (FV) discretization using semi-discrete, non-staggered central schemes for colocated variables prescribed on a mesh of polyhedral cells that have an arbitrary number of faces. We describe the solver in detail, explaining the choice of variables whose face interpolation is limited, the choice of limiter, and a method for limiting the interpolation of a vector field that is independent of the coordinate system. The solution of momentum and energy transport in the Navier-Stokes equations uses an operator-splitting approach: first, we solve an explicit predictor equation for the convection of conserved variables, then an implicit corrector equation for the diffusion of primitive variables. Our solver is validated against four sets of data: (1) an analytical solution of the one-dimensional shock tube case; (2) a numerical solution of two dimensional, transient, supersonic flow over a forward-facing step; (3) interferogram density measurements of a supersonic jet from a circular nozzle; and (4) pressure and heat transfer measurements in hypersonic flow over a 25 • -55 • biconic. Our results indicate that the central-upwind scheme of Kurganov, Noelle and Petrova (SIAM J. Sci. Comput. 2001; 23:707-740) is competitive with the best methods previously published (e.g. piecewise parabolic method, Roe solver with van Leer limiting) and that it is inherently simple and well suited to a colocated, polyhedral FV framework.

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Interferometric Studies of Faster than Sound Phenomena. Part II. Analysis of Supersonic Air Jets

Cited by 66 publications

References 8 publications

Supersonic jet and shock interactions

Supersonic jet and shock interactions

From model conception to verification and validation, a global approach to multiphase Navier-Stoke models with an emphasis on volcanic explosive phenomenology

Implementation of semi‐discrete, non‐staggered central schemes in a colocated, polyhedral, finite volume framework, for high‐speed viscous flows

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