Linear kinetic transport equations play a critical role in optical tomography, radiative transfer and neutron transport. The fundamental difficulty hampering their efficient accurate numerical resolution lies the high dimensionality of physical velocity/angular variables fact that problem is multiscale nature. Leveraging existence hidden low-rank structure hinted by diffusive limit, this work, ...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 27 May 2020Accepted: 28 2021Published online: 30 August 2021Keywordsradiative transfer equation, moment model, nonlinear global hyperbolicityAMS Subject Headings78A35, 82C70Publication DataISSN (print): 1540-3459ISSN (online): 1540-3467Publisher: Society for Industrial an...

Context. New high-resolution spectropolarimetric observations of solar prominences require improved radiative modelling capabilities in order to take into account both multi-dimensional – at least 2D – geometry and complex atomic models. Aims. This makes necessary the use of very fast numerical schemes for the resolution of 2D non–LTE radiative transfer problems considering freestanding and ill...

We present a pair of coupled partial differential equations to describe the evolution of the average total intensity and intensity flux of a wave field inside a randomly layered medium. These equations represent a modification of the Kubelka-Munk equations, or radiative transfer. Our modification accounts for wave interference (e.g., localization), which is neglected in radiative transfer. We n...

In many problems related to cryopreservation of living cells and tissues, the formation of ice in intra and extracellular liquids plays very important role. There are many models predicting the homogeneous ice nucleation an formation of dendrites. Nevertheless, the application of such models requires fitting parameters and verifications trough measurements of the ice content during freezing. Th...

We study the deviation from diffusion theory that occurs in the dynamic transport of light through thin scattering slabs. Solving numerically the time-dependent radiative transfer equation, we obtain the decay time and the effective diffusion coefficient Deff. We observe a nondiffusive behavior for systems whose thickness L is smaller than 8l(tr), where l(tr) is the transport mean free path. We...