A Spectral Acceleration Approach for the Spherical Harmonics Discrete Ordinate Method
نویسندگان
چکیده
منابع مشابه
The Spherical Harmonics Discrete Ordinate Method for Three-Dimensional Atmospheric Radiative Transfer
A new algorithm for modeling radiative transfer in inhomogeneous three-dimensional media is described. The spherical harmonics discrete ordinate method uses a spherical harmonic angular representation to reduce memory use and time computing the source function. The radiative transfer equation is integrated along discrete ordinates through a spatial grid to model the streaming of radiation. An a...
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In his classic work on radiative transfer, Chandrasekhar introduced the discrete ordinates method for solving the integro-di erential equation of radiative transfer; the spherical harmonics method is a spectral analog of this method. Not surprisingly, there is a close connection between the spherical harmonics and discrete ordinates methods. The spherical harmonics method raises some interestin...
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A new effective approach to solving the three-dimensional radiative transport equation with an arbitrary phase function is proposed. The solution depends on eigenvectors and eigenvalues of several symmetrical tridiagonal matrices of infinite size. The matrices must be truncated and diagonalized numerically. Then, given eigenvectors and eigenvalues of these matrices, the dependence of the soluti...
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An overview of recent developments for solving the Boltzmann transport equation for semiconductors in a deterministic manner using spherical harmonics expansions is given. The method is an attractive alternative to the Monte Carlo method, since it does not suffer from inherent stochastic limitations such as the difficulty of resolving small currents, excessive execution times, or the inability ...
متن کاملSpherical Harmonics
5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
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ژورنال
عنوان ژورنال: Remote Sensing
سال: 2020
ISSN: 2072-4292
DOI: 10.3390/rs12223703