Comparison of different statistical models of turbulence by similarity methods
- Lawrence Livermore National Lab., CA (United States). Center for Advanced Fluid Dynamics Applications
The process of implosion by inertial confinement is perturbed by hydrodynamic instabilities such as Rayleigh-Taylor, Richtmyer-Meshkov and Kelvin-Helmholtz instabilities. They may generate turbulent flow, causing the mixing of constituents and the degradation of the symmetry of the implosion. The authors extend Barenblatt`s study (1983) of a one-equation turbulence model to a variety of two-equation models. They consider the problem of the propagation of incompressible turbulence generated by an instantaneous plane source, for which the evolution of the turbulence is determined completely by diffusive and dissipative processes. It is then possible to find for each model a self-similar solution asymptotic to the exact flow. The authors then compare the self-similar temporal and spatial behavior of several two-equation models, including the dependence on model coefficients. They also observe the predicted self-similar behavior and evaluate similarity exponents by numerical solution of the model equations. The combined analytic and numerical approach not only elucidates the analysis but also assists in the validation of the turbulence modeling codes. Some of this analysis has previously been carried out by one of the authors on two turbulence models (Cherfils, 1993), and related work has been reported by Neuvazhaev et al. (1991).
- Research Organization:
- Lawrence Livermore National Lab., CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 10167822
- Report Number(s):
- UCRL-JC-117404; CONF-940659-9; ON: DE94015326; TRN: 94:014681
- Resource Relation:
- Conference: 1994 American Society of Mechanical Engineers (ASME) Fluids Engineering Division summer meeting,Lake Tahoe, NV (United States),19-23 Jun 1994; Other Information: PBD: May 1994
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
IMPLOSIONS
TURBULENCE
STATISTICAL MODELS
INERTIAL CONFINEMENT
HYDRODYNAMICS
RAYLEIGH-TAYLOR INSTABILITY
PLASMA INSTABILITY
HELMHOLTZ INSTABILITY
INCOMPRESSIBLE FLOW
DATA
700411
990200
INERTIAL CONFINEMENT DEVICES
MATHEMATICS AND COMPUTERS