Mathematics
Scientific paper
Apr 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jqsrt..51..603k&link_type=abstract
Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 51, no. 4, p. 603-614
Mathematics
8
Analysis (Mathematics), Finite Element Method, Radiative Transfer, Boundary Conditions, Data Reduction, Matrices (Mathematics)
Scientific paper
The finite element method is applied to the solution of the radiative transfer equation (RTE) for a plane parallel homogeneous slab with absorbing boundaries. This method is shown to be numerically equivalent to the discrete ordinate method, but, differently from that, is exactly flux-conserving in a manner which does not depend on the shape of the phase function. The final form of the solution which is presented does not suffer from any numerical instability. The comparison of the zero-order Fourier component of the intensity obtained with the finite element and the discrete ordinate method demonstrates the better performance of the first moderate number of node points in the case of highly asymmetric phase functions, which provides the possibility of obtaining a higher accuracy with a more sparse grid.
Kisselev V. B.
Perona Giovanni
Roberti L.
No associations
LandOfFree
An application of the finite element method to the solution of the radiative transfer equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with An application of the finite element method to the solution of the radiative transfer equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An application of the finite element method to the solution of the radiative transfer equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1259852