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 -