Near optimal angular quadratures for polarised radiative transfer

0534662 - ASÚ 2021 RIV FR eng J - Journal Article
Štěpán, Jiří - Bestard, J. J. - Trujillo Bueno, J.
Near optimal angular quadratures for polarised radiative transfer.
Astronomy & Astrophysics. Roč. 636, April (2020), č. článku A24. ISSN 0004-6361. E-ISSN 1432-0746
R&D Projects: GA ČR(CZ) GA19-20632S
Institutional support: RVO:67985815
Keywords : numerical methods * polarization * radiative transfer
OECD category: Astronomy (including astrophysics,space science)
Impact factor: 5.803, year: 2020
Method of publishing: Limited access
https://doi.org/10.1051/0004-6361/202037566

In three-dimensional (3D) radiative transfer (RT) problems, the tensor product quadratures are generally not optimal in terms of the number of discrete ray directions needed for a given accuracy of the angular integration of the radiation field. In this paper, we derive a new set of angular quadrature rules that are more suitable for solving 3D RT problems with the short- and long-characteristics formal solvers. These quadratures are more suitable than the currently used ones for the numerical calculation of the radiation field tensors that are relevant in the problem of the generation and transfer of polarised radiation without assuming local thermodynamical equilibrium (non-LTE). We show that our new quadratures can save up to about 30% of computing time with respect to the Gaussian-trapezoidal product quadratures with the same accuracy.
Permanent Link: http://hdl.handle.net/11104/0312834