Three dimensional hydrodynamic calculations with adaptive mesh refinement of the evolution of Rayleigh Taylor and Richtmyer Meshkov instabilities in converging geometry: Multi-mode perturbations
- Lawrence Livermore National Lab., CA (US)
The authors present results for high resolution hydrodynamic calculations of the growth and development of instabilities in shock driven imploding spherical geometries in both 2D and 3D. They solve the Eulerian equations of hydrodynamics with a high order Godunov approach using local adaptive mesh refinement to study the temporal and spatial development of the turbulent mixing layer resulting from both Richtmyer Meshkov and Rayleigh Taylor instabilities. The use of a high resolution Eulerian discretization with adaptive mesh refinement permits them to study the detailed three-dimensional growth of multi-mode perturbations far into the non-linear regime for converging geometries. They discuss convergence properties of the simulations by calculating global properties of the flow. They discuss the time evolution of the turbulent mixing layer and compare its development to a simple theory for a turbulent mix model in spherical geometry based on Plesset`s equation. Their 3D calculations show that the constant found in the planar incompressible experiments of Read and Young`s may not be universal for converging compressible flow. They show the 3D time trace of transitional onset to a mixing state using the temporal evolution of volume rendered imaging. Their preliminary results suggest that the turbulent mixing layer loses memory of its initial perturbations for classical Richtmyer Meshkov and Rayleigh Taylor instabilities in spherically imploding shells. They discuss the time evolution of mixed volume fraction and the role of vorticity in converging 3D flows in enhancing the growth of a turbulent mixing layer.
- 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:
- 10168953
- Report Number(s):
- UCRL-JC-114505; CONF-9303126-4; ON: DE93017155; TRN: 93:001985
- Resource Relation:
- Conference: 4. international workshop on the physics of compressible turbulent mixing,Cambridge (United Kingdom),29 Mar - 1 Apr 1993; Other Information: PBD: Apr 1993
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
LASER TARGETS
THREE-DIMENSIONAL CALCULATIONS
TURBULENCE
IMPLOSIONS
HYDRODYNAMICS
INERTIAL CONFINEMENT
TWO-DIMENSIONAL CALCULATIONS
RAYLEIGH-TAYLOR INSTABILITY
INSTABILITY GROWTH RATES
IMPACT SHOCK
700411
990200
INERTIAL CONFINEMENT DEVICES
MATHEMATICS AND COMPUTERS