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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, in-viscid Taylor-Green vortex flow. It was found that numerical filtering using the high-order exponential filter and low-pass filter with(More)
The reshocked single-mode Richtmyer-Meshkov instability is simulated in two spatial dimensions using the fifth-and 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)
The desirable features of algorithms for the direct, implicit large-eddy, and large-eddy numerical simulation of compressible turbulent mixing are discussed. Issues specific to turbulence and mixing induced by interfacial instabilities are briefly reviewed. A high-resolution, Eulerian numerical algorithm for compressible turbulent mixing simulations(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)
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