Unravelling cosmic velocity flows: a Helmholtz-Hodge decomposition algorithm for cosmological simulations

التفاصيل البيبلوغرافية
العنوان: Unravelling cosmic velocity flows: a Helmholtz-Hodge decomposition algorithm for cosmological simulations
المؤلفون: Vallés-Pérez, David, Planelles, Susana, Quilis, Vicent
المصدر: Computer Physics Communications, Volume 263, June 2021, 107892
سنة النشر: 2021
المجموعة: Astrophysics
مصطلحات موضوعية: Astrophysics - Instrumentation and Methods for Astrophysics, Astrophysics - Cosmology and Nongalactic Astrophysics, Astrophysics - Astrophysics of Galaxies
الوصف: In the context of intra-cluster medium turbulence, it is essential to be able to split the turbulent velocity field in a compressive and a solenoidal component. We describe and implement a new method for this aim, i.e., performing a Helmholtz-Hodge decomposition, in multi-grid, multi-resolution descriptions, focusing on (but not being restricted to) the outputs of AMR cosmological simulations. The method is based on solving elliptic equations for a scalar and a vector potential, from which the compressive and the solenoidal velocity fields, respectively, are derived through differentiation. These equations are addressed using a combination of Fourier (for the base grid) and iterative (for the refinement grids) methods. We present several idealised tests for our implementation, reporting typical median errors in the order of $1\unicode{x2030}$-$1\%$, and with 95-percentile errors below a few percents. Additionally, we also apply the code to the outcomes of a cosmological simulation, achieving similar accuracy at all resolutions, even in the case of highly non-linear velocity fields. We finally take a closer look to the decomposition of the velocity field around a massive galaxy cluster.
Comment: 12 pages, 8 figures; accepted for publication in Computer Physics Communications
نوع الوثيقة: Working Paper
DOI: 10.1016/j.cpc.2021.107892
URL الوصول: http://arxiv.org/abs/2102.06217
رقم الأكسشن: edsarx.2102.06217
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.cpc.2021.107892