The influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instability

dc.contributor.authorThornber, Ben-
dc.contributor.authorDrikakis, Dimitris-
dc.contributor.authorYoungs, D. L.-
dc.contributor.authorWilliams, R. J. R.-
dc.date.accessioned2012-03-21T23:02:41Z
dc.date.available2012-03-21T23:02:41Z
dc.date.issued2010-07-10T00:00:00Z-
dc.description.abstractThis paper investigates the influence of different three-dimensional multi-mode initial conditions on the rate of growth of a mixing layer initiated via a Richtmyer-Meshkov instability through a series of well-controlled numerical experiments. Results are presented for large-eddy simulation of narrowband and broadband perturbations at grid resolutions up to 3 x 10(9) points using two completely different numerical methods, and comparisons are made with theory and experiment. It is shown that the mixing-layer growth is strongly dependent on initial conditions, the narrowband case giving, a power-law exponent theta approximate to 0.26 at low Atwood and theta approximate to 0.3 at high Atwood numbers. The broadband case uses a perturbation power spectrum of the form P(k) proportional to k(-2) with a proposed theoretical growth rate of theta = 2/3. The numerical results confirm this; however, they highlight the necessity of a very fine grid to capture an appropriately broad range of initial scales. In addition, an analysis of the kinetic energy decay rates, fluctuating kinetic energy spectra, plane-averaged volume fraction profiles and mixing parameters is presented for each case.en_UK
dc.identifier.citationBen Thornber, Dimitris Drikakis, D. L. Youngs, R. J. R. Williams. The influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instability. Journal of Fluid Mechanics, Vol. 654, July 2010, pp99-139
dc.identifier.issn0022-1120-
dc.identifier.urihttp://dx.doi.org/10.1017/S0022112010000492-
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/7067
dc.language.isoen_UK-
dc.publisherCambridge University Pressen_UK
dc.subjectrayleigh-taylor instability large-eddy simulation high-resolution methods high- order homogeneous turbulence numerical-simulation compressible flows shock-wave acceleration drivenen_UK
dc.titleThe influence of initial conditions on turbulent mixing due to Richtmyer-Meshkov instabilityen_UK
dc.typeArticle-

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