Oleg Schilling

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A spectral method and a fifth-order weighted essentially non-oscillatory method were used to examine the consequences of filtering in the numerical simulation of the three-dimensional evolution of nearly-incompressible, inviscid Taylor-Green vortex flow. It was found that numerical filtering using the high-order exponential filter and low-pass filter with(More)
The ninth-order weighted essentially nonoscillatory (WENO) shock-capturing method is used to investigate the physics of reshock and mixing in two-dimensional single-mode Richtmyer-Meshkov instability to late times. The initial conditions and computational domain were adapted from the Mach 1.21 air (acetone)/ SF6 shock tube experiment of Collins and Jacobs(More)
Weighted essentially non-oscillatory (WENO) simulations of the reshocked two-dimensional single-mode Richtmyer– Meshkov instability using third-, fifthand ninth-order spatial flux reconstruction and uniform grid resolutions corresponding to 128, 256 and 512 points per initial perturbation wavelength are presented. The dependence of the density, vorticity,(More)
The reshocked single-mode Richtmyer-Meshkov instability is simulated in two spatial dimensions using the fifthand ninth-order weighted essentially nonoscillatory shock-capturing method with uniform spatial resolution of 256 points per initial perturbation wavelength. The initial conditions and computational domain are modeled after the single-mode, Mach(More)
Following the successful demonstration of an OMEGA laser-driven platform for generating and studying nearly two-dimensional unstable plasma shear layers [Hurricane et al., Phys. Plasmas 16, 056305 (2009); Harding et al., Phys. Rev. Lett. 103, 045005 (2009)], this Letter reports on the first quantitative measurement of turbulent mixing in a(More)
Three-dimensional high-resolution simulations are performed of the Richtmyer-Meshkov (RM) instability for a Mach 6 shock, and of the passage of a second shock from the same side through a developed RM instability. The second shock is found to rapidly smear ne structure and strongly enhance mixing. Studies of the interaction of moderately strong shocks with(More)
The spectral eddy and backscatter viscosity and the spectral eddy and backscatter resistivity for incompressible, three-dimensional, isotropic, nonhelical magnetohydrodynamic (MHD) turbulence are constructed using the eddy-damped quasinormal Markovian statistical closure model developed by Pouquet, Frisch, and Léorat [J. Fluid Mech. 77, 321 (1976)] in terms(More)
A von Neumann–Smagorinsky turbulent transport model for stratified shear flows Bryan M. Johnson a , Jonathan I. Katz a b c & Oleg Schilling a a Lawrence Livermore National Laboratory, P. O. Box 808, Livermore, CA, 94551, USA b Department of Physics and McDonnell Center for the Space Sciences, Washington University, St. Louis, MO, 63130, USA c Los Alamos(More)