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28 March 2024 |
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Algorithmic comparisons of decaying, isothermal, compressible turbulence. I. Low-resolution simulations with fixed grids | S. Kitsionas
; R. Klessen
; C. Federrath
; W. Schmidt
; D. Price
; J. Dursi
; M. Gritschneder
; S. Walch
; R. Piontek
; J. Kim
; A.-K. Jappsen
; P. Ciecielag
; M.-M. Mac Low
; | Date: |
25 Oct 2008 | Abstract: | Simulations of astrophysical turbulence have reached a level of
sophistication that quantitative results are now starting to emerge.
Contradicting results have been reported, however, in the literature with
respect to the performance of the numerical techniques employed for its study
and their relevance to the physical systems modelled. We aim at characterising
the performance of a number of hydrodynamics codes on the modelling of
turbulence decay. This is the first such large-scale comparison ever conducted.
We have driven compressible, supersonic, isothermal turbulence with GADGET and
then let it decay in the absence of gravity, using a number of grid (ENZO,
FLASH, TVD, ZEUS) and SPH codes (GADGET, VINE, PHANTOM). We have analysed the
results of our numerical experiments using a variety of statistical measures
ranging from energy spectrum functions (power spectra), to velocity structure
functions, to probability distribution functions. In the low numerical
resolution employed here the performance of the various codes is comparable. In
more detail, our analysis indicates that the numerical techniques used can be
sorted from least to most dissipative as follows: ENZO-FLASH; TVD; ZEUS-SPH
codes. Use of the Morris & Monaghan viscosity implementation for SPH results in
less dissipation. We have shown that the density-weighted power spectrum is a
more robust statistical measure for the study of compressible turbulence. Here
we have adopted the (rho/rho_0)^{1/2} velocity weights which provide physical
reference to kinetic energy. | Source: | arXiv, 0810.4599 | Services: | Forum | Review | PDF | Favorites |
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