The finite volume method approach to the collapsed dimension method in analyzing steady/transient radiative transfer problems in participating media

Author(s):  
Subhash C. Mishra ◽  
R. Muthukumaran ◽  
S. Maruyama
2007 ◽  
Vol 21 (1) ◽  
pp. 239-243
Author(s):  
Guobiao Cai ◽  
Xiaoying Zhang ◽  
Ding-Qiang Zhu

2019 ◽  
Vol 633 ◽  
pp. A16 ◽  
Author(s):  
L. Hennicker ◽  
J. Puls ◽  
N. D. Kee ◽  
J. O. Sundqvist

Context. Knowledge about hot, massive stars is usually inferred from quantitative spectroscopy. To analyse non-spherical phenomena, the existing 1D codes must be extended to higher dimensions, and corresponding tools need to be developed. Aims. We present a 3D radiative transfer code that is capable of calculating continuum and line scattering problems in the winds of hot stars. By considering spherically symmetric test models, we discuss potential error sources, and indicate advantages and disadvantages by comparing different solution methods. Further, we analyse the ultra-violet (UV) resonance line formation in the winds of rapidly rotating O stars. Methods. We consider both a (simplified) continuum model including scattering and thermal sources, and a UV resonance line transition approximated by a two-level-atom. We applied the short-characteristics (SC) method, using linear or monotonic Bézier interpolations, for which monotonicity is of prime importance, to solve the equation of radiative transfer on a non-uniform Cartesian grid. To calculate scattering dominated problems, our solution method is supplemented by an accelerated Λ-iteration scheme using newly developed non-local operators. Results. For the spherical test models, the mean relative error of the source function is on the 5 − 20% level, depending on the applied interpolation technique and the complexity of the considered model. All calculated line profiles are in excellent agreement with corresponding 1D solutions. Close to the stellar surface, the SC methods generally perform better than a 3D finite-volume-method; however, they display specific problems in searchlight-beam tests at larger distances from the star. The predicted line profiles from fast rotating stars show a distinct behaviour as a function of rotational speed and inclination. This behaviour is tightly coupled to the wind structure and the description of gravity darkening and stellar surface distortion. Conclusions. Our SC methods are ready to be used for quantitative analyses of UV resonance line profiles. When calculating optically thick continua, both SC methods give reliable results, in contrast to the alternative finite-volume method.


Author(s):  
Xiaodong Lu ◽  
Pei-Feng Hsu ◽  
John C. Chai

The transient radiative transfer process is studied with a finite volume method (FVM) and an integral equation (IE) model. Propagation of a short light pulse in the three-dimensional absorbing and isotropic scattering media is considered. Collimated irradiation enters at one side of the rectangular medium. The other five boundaries are cold and black, nonparticipating surfaces. The spatial and temporal distributions of the integrated intensity and radiative flux are obtained.


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