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Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting
Applied Optics
|June 10, 2010
Summary
This study presents a versatile discrete ordinate algorithm for atmospheric radiative transfer calculations. The new method overcomes previous numerical challenges, enabling accurate modeling across the electromagnetic spectrum.
Area of Science:
- Atmospheric physics
- Radiative transfer theory
- Computational electromagnetics
Background:
- Accurate modeling of radiative transfer is crucial for understanding atmospheric processes.
- Previous discrete ordinate methods faced challenges with ill-conditioning.
- A general-purpose algorithm is needed for diverse atmospheric applications.
Purpose of the Study:
- To present an advanced, general-purpose discrete ordinate algorithm for time-independent radiative transfer calculations.
- To incorporate recent advances in formulation and numerical solutions.
- To address and overcome ill-conditioning problems in eigenvalue computation and matrix inversion.
Main Methods:
- Development of a discrete ordinate algorithm for radiative transfer.
- Implementation of solutions for ill-conditioned eigenvalue and matrix inversion problems.
- Inclusion of physical processes: thermal emission, scattering, absorption, and bidirectional reflection/emission.
Main Results:
- A robust and accurate discrete ordinate algorithm for vertically inhomogeneous, nonisothermal, plane-parallel media.
- Successful conquest of eigenvalue computation and matrix inversion ill-conditioning.
- Applicability across the electromagnetic spectrum from UV to radar.
Conclusions:
- The developed algorithm provides a significant advancement for atmospheric radiative transfer modeling.
- The method is well-documented, general-purpose, and overcomes critical numerical limitations.
- A FORTRAN program is available for users, facilitating broader application and research.
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