Radiative Transfer Equation and Solutions

Zhao, Junming; Liu, Linhua H.

doi:10.1007/978-3-319-32003-8_56-1

Cited by 5 publications

(3 citation statements)

References 76 publications

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“…The equation of radiative transfer can describe the balance radiative energy transport in absorbing, emitting and scattering media with uniform refractive index distribution. 23 Although the RTE has been demonstrated to be a feasible method for the LST retrievals in some specific research areas, it cannot be widely applied in many other relevant applications. As mentioned early, the RTE method requires accurate real-time atmospheric profile(s) for atmospheric simulations, which could be very hard or complicated to be obtained due to the fact that the characteristics of the atmospheric profiles may vary significantly with times and/or locations.…”

Section: Methodsmentioning

confidence: 99%

Land surface temperature retrieval from Landsat 8 OLI/TIRS images based on back-propagation neural network

Zhang

Hong

2019

Indoor and Built Environment

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Land surface temperature (LST) is an important parameter related to the environmental assessment concerning the surface energy, water balance, greenhouse effect, etc. at local and global scales. With the rapid development of the remote sensing technology, various methodologies have been developed to retrieve LST from space-based remote sensing images. Due to the ill-posed problem, the LST retrieval is still a challenge. In this research, a so-called multiple band reflectance (MBR)-LST model has been proposed based on the back-propagation neural (BPN) network, which can be employed to retrieve the LSTs from Landsat 8 Operational Land Imager (OLI)/TIRS images as well as produce continuous spatial LST distributions with a spatial resolution of 30 m. Experiments conducted in two randomly selected areas in mainland China proved that the proposed MBR-LST model has yielded a much better performance than the traditional radiative transfer equation (RTE) method with respect to both the accuracy and stability for the LST retrievals. Moreover, another significant advantage of the proposed MBR-LST is the generic nature – once trained by the sample data in the whole region of mainland China, the proposed MBR-LST model can be utilized for the accurate LST-retrievals in any area of mainland China.

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Section: Methodsmentioning

confidence: 99%

Land surface temperature retrieval from Landsat 8 OLI/TIRS images based on back-propagation neural network

Zhang

Hong

2019

Indoor and Built Environment

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“…At macroscopic scales, the time and spectral changes of radiative information are often considered as non-significant due to its very large propagation speed and gray medium assumption [13]. Hence, the radiation assessment involves an integro-differential radiative transfer equation (RTE) including three spatial and two angular variables.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, the radiation assessment involves an integro-differential radiative transfer equation (RTE) including three spatial and two angular variables. Furthermore, for present curvilinear shape, the differential form of the RTE coupled to the dependence of spatial/angular variables and the optically inhomogeneous complex media make the radiative transfer equation difficult to solve analytically except for some limiting cases [1,2,13]. Generally, the solutions of RTE found in the literatures are typically determined by numerical means and therefore, contain errors such as angular and spatial errors due to solution procedures.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Heat Transfer in the Case of Non-linear Hyperbolic Conduction Equation Coupled with Radiation or with Thermoelectricity

Lazard¹,

Ymeli²,

Kamdem³

et al. 2019

IJES

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Nonlinear hyperbolic heat conduction problems are analyzed thanks to the Cattaneo-Vernotte model, which takes what happens at very short times into account. First, the case of the coupled conductive-radiative heat transfer in planar and spherical media is considered. The accuracy of the Lattice Boltzmann heat conduction model coupled with an analytical layered spherical harmonics solution of the radiative transport equation is investigated. The effects of different parameters such as scattering albedo on both temperature and conductive heat flux distributions within the medium are studied for steady and transient states. The present predictions agree well with literature benchmarks. It is also shown that the parameters have a significant effect on both temperature profile and hyperbolic sharp wave front. Second, the non-Fourier heat conduction in a thermoelectric thin layer is investigated under several boundary conditions by performing a specific quadrupole method. The expressions of the temperature and the heat flux of the small-scale thermoelectric materials are obtained and the whole matrix formulation is given explicitly. Good agreement is observed between quadrupole temperature predictions and analytical results for the Fourier heat conduction problems.

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Applicability of Beer's law in particulate system from random to regular arrangement: A numerical evaluation

Liu

Zhao

2021

Journal of Quantitative Spectroscopy and Radiative Transfer

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Radiative Transfer Equation and Solutions

Cited by 5 publications

References 76 publications

Land surface temperature retrieval from Landsat 8 OLI/TIRS images based on back-propagation neural network

Land surface temperature retrieval from Landsat 8 OLI/TIRS images based on back-propagation neural network

Analysis of Heat Transfer in the Case of Non-linear Hyperbolic Conduction Equation Coupled with Radiation or with Thermoelectricity

Applicability of Beer's law in particulate system from random to regular arrangement: A numerical evaluation

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