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A comparison of mix models for the Rayleigh-Taylor instability. (English) Zbl 1426.76577

Summary: Four mix models, implemented into an Arbitrary Lagrangian-Eulerian (ALE) multi-physics code, are compared on simulations of the Rayleigh-Taylor instability. The specific models of interest are a mass diffusion model, the \(k-L\) turbulence model, the BHR turbulence model, and a multifluid interpenetration mix model. The bubble growth rates produced by the different models are compared to experimentally determined growth rates. The diffusion model reproduces the characteristic \(t^{1/2}\) growth for diffusion processes and therefore does not reproduce instability growth rates, as expected. The \(k-L\) and BHR turbulence models reproduce the nominal instability growth rates at multiple Atwood numbers with a single set of model parameters. The multifluid interpenetration model exhibits diffusion-like behavior and therefore does not reproduce instability growth rates. All four models exhibit Cauchy-like convergence in the mixing layer width with decreasing mesh size, although the multifluid model exhibits both a larger error for a given mesh size and a slower convergence rate than the turbulence models.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76E17 Interfacial stability and instability in hydrodynamic stability

Software:

SHASTA
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Full Text: DOI

References:

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