Mathematical aspects of the plane-parallel transfer equation

1997 ◽  
Vol 58 (3) ◽  
pp. 355-373 ◽  
Author(s):  
G.V Efimov ◽  
W von Waldenfels ◽  
R Wehrse
Keyword(s):  
Transfer Equation ◽  
Plane Parallel ◽  
Parallel Transfer

Solving Radiative Transfer Equation in Scattering Plane-Parallel Medium Using Wavelets Approximation

2002 ◽  
Author(s):  
Oguzhan Guven ◽  
Bryan Y. Wang ◽  
Yildiz Bayazitoglu
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Radiative Heat ◽  
Numerical Solutions ◽  
Radiative Transfer Equation ◽  
Anisotropic Scattering ◽  
Wavelet Approximation ◽  
Plane Parallel ◽  
Scattering Phase ◽  
Scattering Phase Function

Wavelet analysis is presented for solving the radiative transfer equation for a scattering medium in a one-dimensional plane-parallel geometry. Some properties of the wavelet transform for numerical approximation of radiative heat transfer are demonstrated. The governing equations are reduced to a system of first-order ordinary differential equations. Linear anisotropic scattering is assumed in order to compare the results with the previous researchers. The method of analysis is quite general since it only requires that the scattering phase function is square integrable. The numerical solutions indicate that wavelet approximation is promising.

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