Tau method approximation for radiative transfer problems in a slab medium

Mohsen Razzaghi; Seth Oppenheimer; Falih Ahmad

doi:10.1016/S0022-4073(01)00134-0

Tau method approximation for radiative transfer problems in a slab medium

Mohsen Razzaghi, Seth Oppenheimer, Falih Ahmad

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

An approximate method for solving the radiative transfer equation in a slab medium with an isotropic scattering is proposed. The method is based upon constructing the double Legendre series to approximate the required solution using Legendre tau method. The differential and integral expressions which arise in the radiative transfer equation are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. Numerical examples are included to demonstrate the validity and applicability of the method and a comparison is made with existing results.

Original language	English (US)
Pages (from-to)	439-447
Number of pages	9
Journal	Journal of Quantitative Spectroscopy and Radiative Transfer
Volume	72
Issue number	4
DOIs	https://doi.org/10.1016/S0022-4073(01)00134-0
State	Published - Feb 15 2002
Externally published	Yes

Keywords

Radiative transfer
Slab medium
Tau

ASJC Scopus subject areas

Radiation
Atomic and Molecular Physics, and Optics
Spectroscopy

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10.1016/S0022-4073(01)00134-0

Cite this

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abstract = "An approximate method for solving the radiative transfer equation in a slab medium with an isotropic scattering is proposed. The method is based upon constructing the double Legendre series to approximate the required solution using Legendre tau method. The differential and integral expressions which arise in the radiative transfer equation are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. Numerical examples are included to demonstrate the validity and applicability of the method and a comparison is made with existing results.",

keywords = "Radiative transfer, Slab medium, Tau",

author = "Mohsen Razzaghi and Seth Oppenheimer and Falih Ahmad",

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T1 - Tau method approximation for radiative transfer problems in a slab medium

AU - Razzaghi, Mohsen

AU - Oppenheimer, Seth

AU - Ahmad, Falih

N1 - Funding Information: This work was supported by NASA Grant number NCC1399001 9907609.

PY - 2002/2/15

Y1 - 2002/2/15

N2 - An approximate method for solving the radiative transfer equation in a slab medium with an isotropic scattering is proposed. The method is based upon constructing the double Legendre series to approximate the required solution using Legendre tau method. The differential and integral expressions which arise in the radiative transfer equation are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. Numerical examples are included to demonstrate the validity and applicability of the method and a comparison is made with existing results.

AB - An approximate method for solving the radiative transfer equation in a slab medium with an isotropic scattering is proposed. The method is based upon constructing the double Legendre series to approximate the required solution using Legendre tau method. The differential and integral expressions which arise in the radiative transfer equation are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. Numerical examples are included to demonstrate the validity and applicability of the method and a comparison is made with existing results.

KW - Radiative transfer

KW - Slab medium

KW - Tau

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JO - Journal of Quantitative Spectroscopy and Radiative Transfer

JF - Journal of Quantitative Spectroscopy and Radiative Transfer

IS - 4

ER -

Tau method approximation for radiative transfer problems in a slab medium

Abstract

Keywords

ASJC Scopus subject areas

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