scholarly journals A Fast Algorithm for Time-Dependent Radiative Transport Equation Based on Integral Formulation

2020 ◽  
Vol 1 (2) ◽  
pp. 346-364
Author(s):  
Hongkai Zhao & Yimin Zhong
Keyword(s):  
Transport Equation ◽  
Fast Algorithm ◽  
Integral Formulation ◽  
Time Dependent ◽  
Radiative Transport ◽  
Radiative Transport Equation

scholarly journals A pseudospectral method for solution of the radiative transport equation

2019 ◽  
Vol 384 ◽  
pp. 376-382 ◽  
Author(s):  
Samuel Powell ◽  
Ben T. Cox ◽  
Simon R. Arridge
Keyword(s):  
Transport Equation ◽  
Pseudospectral Method ◽  
Radiative Transport ◽  
Radiative Transport Equation

Development and application of a simplified radiative transport equation in water curtain systems

2018 ◽  
Vol 96 ◽  
pp. 124-133 ◽  
Author(s):  
Woo Jun You ◽  
Hong-Sun Ryou
Keyword(s):  
Transport Equation ◽  
Radiative Transport ◽  
Water Curtain ◽  
Radiative Transport Equation

Numerical modeling of photon migration in the cerebral cortex of the living rat using the radiative transport equation

2015 ◽  
Author(s):  
Hiroyuki Fujii ◽  
Shinpei Okawa ◽  
Ken Nadamoto ◽  
Eiji Okada ◽  
Yukio Yamada ◽  
...  
Keyword(s):  
Numerical Modeling ◽  
Cerebral Cortex ◽  
Transport Equation ◽  
Photon Migration ◽  
Radiative Transport ◽  
Radiative Transport Equation

scholarly journals Global Lipschitz stability in determining coefficients of the radiative transport equation

2014 ◽  
Vol 30 (3) ◽  
pp. 035010 ◽  
Author(s):  
Manabu Machida ◽  
Masahiro Yamamoto
Keyword(s):  
Transport Equation ◽  
Radiative Transport ◽  
Lipschitz Stability ◽  
Radiative Transport Equation

scholarly journals Stochastic Modeling of Coherent Wave Fields over Variable Depth

2015 ◽  
Vol 45 (4) ◽  
pp. 1139-1154 ◽  
Author(s):  
P. B. Smit ◽  
T. T. Janssen ◽  
T. H. C. Herbers
Keyword(s):  
Transport Equation ◽  
Deterministic Model ◽  
Laboratory Data ◽  
Radiative Transport ◽  
Wave Statistics ◽  
Wave Interference ◽  
Coherent Wave ◽  
Homogeneous Wave ◽  
Radiative Transport Equation ◽  
Wave Models

AbstractRefractive focusing of swell waves can result in fast-scale variations in the wave statistics because of wave interference, which cannot be resolved by stochastic wave models based on the radiative transport equation. Quasi-coherent statistical theory does account for such statistical interferences and the associated wave inhomogeneities, but the theory has thus far been presented in a form that appears incompatible with models based on the radiative transfer equation (RTE). Moreover, the quasi-coherent theory has never been tested against field data, and it is not clear how the coherent information inherent to such models can be used for better understanding coastal wave and circulation dynamics. This study therefore revisits the derivation of quasi-coherent theory to formulate it into a radiative transport equation with a forcing term that accounts for the inhomogeneous part of the wave field. This paper shows how the model can be nested within (or otherwise used in conjunction with) quasi-homogeneous wave models based on the RTE. Through comparison to laboratory data, numerical simulations of a deterministic model, and field observations of waves propagating over a nearshore canyon head, the predictive capability of the model is validated. The authors discuss the interference patterns predicted by the model through evaluation of a complex cross-correlation function and highlight the differences with quasi-homogeneous predictions. These results show that quasi-coherent theory can extend models based on the RTE to resolve coherent interference patterns and standing wave features in coastal areas, which are believed to be important in nearshore circulation and sediment transport.

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