TY - JOUR

T1 - A comparison between grid and particle methods on the statistics of driven, supersonic, isothermal turbulence

AU - Price, Daniel James

AU - Federrath, Christoph

PY - 2010

Y1 - 2010

N2 - We compare the statistics of driven, supersonic turbulence at a high Mach number using flash, a widely used Eulerian grid-based code, and phantom, a Lagrangian smoothed particle hydrodynamics (SPH) code at resolutions of up to 5123 in both grid cells and SPH particles. We find excellent agreement between codes on the basic statistical properties: a slope of k-1.95 in the velocity power spectrum for hydrodynamic, Mach 10 turbulence, evidence in both codes for a Kolmogorov-like slope of k-5/3 in the variable 1/3 v as suggested by Kritsuk et al. and a lognormal probability distribution function (PDF) with a width that scales with the Mach number and proportionality constant b = 0.33 -0.5 in the density variance-Mach number relation. The measured structure function slopes are not converged in either code at 5123 elements.

AB - We compare the statistics of driven, supersonic turbulence at a high Mach number using flash, a widely used Eulerian grid-based code, and phantom, a Lagrangian smoothed particle hydrodynamics (SPH) code at resolutions of up to 5123 in both grid cells and SPH particles. We find excellent agreement between codes on the basic statistical properties: a slope of k-1.95 in the velocity power spectrum for hydrodynamic, Mach 10 turbulence, evidence in both codes for a Kolmogorov-like slope of k-5/3 in the variable 1/3 v as suggested by Kritsuk et al. and a lognormal probability distribution function (PDF) with a width that scales with the Mach number and proportionality constant b = 0.33 -0.5 in the density variance-Mach number relation. The measured structure function slopes are not converged in either code at 5123 elements.

UR - http://onlinelibrary.wiley.com/doi/10.1111/j.1365-2966.2010.16810.x/pdf

U2 - 10.1111/j.1365-2966.2010.16810.x

DO - 10.1111/j.1365-2966.2010.16810.x

M3 - Article

SN - 0035-8711

VL - 406

SP - 1659

EP - 1674

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

IS - 3

ER -