A spectral anelastic Navier–Stokes solver for a stratified two-miscible-layer system in infinite horizontal channel

Schneider, Nicolas; Hammouch, Zohra; Labrosse, G.; Gauthier, Serge

doi:10.1016/j.jcp.2015.06.043

Cited by 6 publications

(3 citation statements)

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“…where m H and m L are the mass of the heavy and light fluids respectively. Considering the momentum equation (7) with the EOS (10), it comes…”

Section: The Anelastic and Boussinesq Models For Rtimentioning

confidence: 99%

“…It goes from weak (A01-Sr04) to high compressibility (A5-Sr2), to allow an investigation of the influence of these parameters on the RTI development. Since the numerical method has been described in a recent paper [10], we only recall here the main features. The dependent variables are expanded on Fourier series along the x y , ( )-horizontal directions.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…In this paper we report the data analysis performed on the results of four large-scale numerical simulations carried out with the recently derived anelastic model. The model equations are solved with an auto-adaptive multidomain spectral method [10]. The duration of these simulations is essentially governed by the constraint used to derive this model, i.e., the smallness of a characteristic Mach number.…”

Section: Introductionmentioning

confidence: 99%

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Anelastic Rayleigh–Taylor mixing layers

Schneider¹,

Gauthier²

2016

Phys. Scr.

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Anelastic Rayleigh-Taylor mixing layers for miscible fluids are investigated with a recently built model (Schneider and Gauthier 2015 J. Eng. Math. 92 55-71). Four Chebyshev-Fourier-Fourier direct numerical simulations are analyzed. They use different values for the compressibility parameters: Atwood number (the dimensionless difference of the heavy and light fluid densities) and stratification (accounts for the vertical variation of density due to gravity). For intermediate Atwood numbers and finite stratification, compressibility effects quickly occurs. As a result only nonlinear behaviours are reached. The influence of the compressibility parameters on the growth speed of the RTI is discussed. The 0.1-Atwood number/0.4-stratification configuration reaches a turbulent regime. This turbulent mixing layer is analyzed with statistical tools such as moments, PDFs, anisotropy indicators and spectra.

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“…where m H and m L are the mass of the heavy and light fluids respectively. Considering the momentum equation (7) with the EOS (10), it comes…”

Section: The Anelastic and Boussinesq Models For Rtimentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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