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HIGH-ORDER WENO SIMULATIONS OF THREE-DIMENSIONAL reshockED RICHTMYER-MESHKOV INSTABILITY TO LATE TIMES:DYNAMICS,DEPENDENCE ON INITIAL CONDITIONS,AND COMPARISONS TO EXPERIMENTAL DATA

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Acta Mathematica Scientia 2010年第2期30卷 595-620页

作者： Oleg Schilling Marco Latini Lawrence Livermore National Laboratory Applied and Computational Mathematics California Institute of Technology CNA Corporation

The dynamics of the reshocked multi-mode Richtmyer-Meshkov instability is investigated using 513 × 257^2 three-dimensional ninth-order weighted essentially nonoscil- latory shock-capturing simulations. A two-mode initial perturbation with superposed ran- dom noise is used to model the Mach 1.5 air/SF6 Vetter-Sturtevant shock tube experiment. The mass fraction and enstrophy isosurfaces, and density cross-sections are utilized to show the detailed flow structure before, during, and after reshock. It is shown that the mixing layer growth agrees well with the experimentally measured growth rate before and after reshock. The post-reshock growth rate is also in good agreement with the prediction of the Mikaelian model. A parametric study of the sensitivity of the layer growth to the choice of amplitudes of the short and long wavelength initial interfacial perturbation is also pre- sented. Finally, the amplification effects of reshock are quantified using the evolution of the turbulent kinetic energy and turbulent enstrophy spectra, as well as the evolution of the baroclinic enstrophy production, buoyancy production, and shear production terms in the enstrophy and turbulent kinetic transport equations.

关键词： Richtmyer-Meshkov instability reshock mixing properties weighted essen-tially nonoscillatory (WENO) method

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Interface instability analysis induced from the flow field in the initial nonuniform characteristics

Interface instability analysis induced from the flow field i...

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第五届全国强动载效应及防护学术会议暨复杂介质/结构的动态力学行为创新研究群体学术研讨会

作者：柏劲松 WangTao National Key Laboratory of Shock Wave and Detonation Physics(LSD) Institute of Fluid Physics China Academy of Engineering Physics

We numerically simulate the previous instability experiments of double mode perturbed interface in the initial nonuniform flows in unreshocked case,the numerical results are in very good agreement with the experiment,meanwhile investigate the effect of the nonuniformity of flows on the evolution of instability in nonlinear regime after reshock,by adopting two different nonuniform coefficients(δ=0.6162, andδ=0.4961) in the Gaussian distribution of the initial nonuniform *** results indicate that the nonuniformity of the initial flow has great effect on the evolution of instability in the linear and weak nonlinear regime prior to reshock.

关键词： nonuniform flows Richtmyer-Meshkov instability mixing reshock

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