Radiative transfer and spectroscopic databases: A line-sampling Monte Carlo approach

- A rigorous spectral integration of radiative quantities in gases is addressed.
- The intermediate step of producing accurate absorption spectra is suppressed.
- This is made possible by an original extension of the null-collision concept.
- The radiative transfer formulations starts from the spectroscopic database itself.
- A corresponding Monte Carlo algorithm is applied to six academic test-cases.

Dealing with molecular-state transitions for radiative transfer purposes involves two successive steps that both reach the complexity level at which physicists start thinking about statistical approaches: (1) constructing line-shaped absorption spectra as the result of very numerous state-transitions, (2) integrating over optical-path domains. For the first time, we show here how these steps can be addressed simultaneously using the null-collision concept. This opens the door to the design of Monte Carlo codes directly estimating radiative transfer observables from spectroscopic databases. The intermediate step of producing accurate high-resolution absorption spectra is no longer required. A Monte Carlo algorithm is proposed and applied to six one-dimensional test cases. It allows the computation of spectrally integrated intensities (over 25 cm−1 bands or the full IR range) in a few seconds, regardless of the retained database and line model. But free parameters need to be selected and they impact the convergence. A first possible selection is provided in full detail. We observe that this selection is highly satisfactory for quite distinct atmospheric and combustion configurations, but a more systematic exploration is still in progress.