Evolving grain-size distributions embedded in gas flows

Autor: S. Van Loo, R Sumpter
Rok vydání: 2020
Předmět:
COLLISIONS
SIO EMISSION
Discretization
COAGULATION
FOS: Physical sciences
01 natural sciences
Bin
RATIO
Approximation error
0103 physical sciences
010303 astronomy & astrophysics
Solar and Stellar Astrophysics (astro-ph.SR)
DESTRUCTION
Cosmic dust
Earth and Planetary Astrophysics (astro-ph.EP)
Physics
010308 nuclear & particles physics
numerical [methods]
Astronomy and Astrophysics
plasmas
Astrophysics - Astrophysics of Galaxies
Grain size
Computational physics
DENSE CLOUDS
SHOCK-WAVES
Distribution function
Distribution (mathematics)
Astrophysics - Solar and Stellar Astrophysics
Physics and Astronomy
Space and Planetary Science
Astrophysics of Galaxies (astro-ph.GA)
hydrodynamics
MOLECULAR CLOUDS
dust
FRAGMENTATION
Constant (mathematics)
INTERSTELLAR DUST
Astrophysics - Earth and Planetary Astrophysics
Zdroj: MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
ISSN: 1365-2966
0035-8711
DOI: 10.1093/mnras/staa846
Popis: We present a numerical approach for accurately evolving a dust grain-size distribution undergoing number-conserving (such as sputtering) and/or mass-conserving (such as shattering) processes. As typically observed interstellar dust distributions follow a power-law, our method adopts a power-law discretisation and uses both the grain mass and number densities in each bin to determine the power-law parameters. This power-law method is complementary to piecewise-constant and linear methods in the literature. We find that the power-law method surpasses the other two approaches, especially for small bin numbers. In the sputtering tests the relative error in the total grain mass remains below 0.01% independent of the number of bins N, while the other methods only achieve this for N > 50 or higher. Likewise, the shattering test shows that the method also produces small relative errors in the total grain numbers while conserving mass. Not only does the power-law method conserve the global distribution properties, it also preserves the inter-bin characteristics so that the shape of the distribution is recovered to a high degree. This does not always happen for the constant and linear methods, especially not for small bin numbers. Implementing the power-law method in a hydrodynamical code thus minimises the numerical cost whilst maintaining high accuracy. The method is not limited to dust grain distributions, but can also be applied to the evolution of any distribution function, such as a cosmic-ray distribution affected by synchrotron radiation or inverse-Compton scattering.
11 pages, 8 figures, accepted for publication in Monthly Notices of the Royal Astronomical Society
Databáze: OpenAIRE