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- W624176039 abstract "We analyse the scaling properties of turbulent flows using a suite of three-dimensional numerical simulations. We model driven, compressible, isothermal, turbulence with Mach numbers ranging from the subsonic (|$mathcal {M} approx 0.5$|) to the highly supersonic regime (|$mathcal {M}approx 16$|). The forcing scheme consists of both solenoidal (transverse) and compressive (longitudinal) modes in equal parts. We confirm the relation |$sigma _{s}^2 = ln {(1+b^2mathcal {M}^2)}$| between the Mach number and the standard deviation of the logarithmic density with b = 0.33. We find increasing deviations with higher Mach number from the predicted lognormal shape in the high-density wing of the density probability density function. The density spectra follow |$mathcal {D}(k,,mathcal {M}) propto k^{zeta (mathcal {M})}$| with scaling exponents depending on the Mach number. We find |$zeta (mathcal {M}) = alpha mathcal {M}^{beta }$| with coefficients α = −2.1 and β = −0.33. The dependence of the scaling exponent on the Mach number implies a fractal dimension |$D=2+1.05 mathcal {M}^{-0.33}$|." @default.
- W624176039 created "2016-06-24" @default.
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- W624176039 date "2016-06-07" @default.
- W624176039 modified "2023-10-18" @default.
- W624176039 title "Mach number study of supersonic turbulence: the properties of the density field" @default.
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- W624176039 doi "https://doi.org/10.1093/mnras/stw1313" @default.
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