scholarly journals Radiative transfer equation modeling by streamline diffusion modified continuous Galerkin method

2016 ◽  
Vol 21 (3) ◽  
pp. 036003 ◽  
Author(s):  
Feixiao Long ◽  
Fengyan Li ◽  
Xavier Intes ◽  
Shiva P. Kotha
Keyword(s):  
Radiative Transfer ◽  
Galerkin Method ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Equation Modeling ◽  
Continuous Galerkin ◽  
Streamline Diffusion

scholarly journals A Discrete-Ordinate Discontinuous-Streamline Diffusion Method for the Radiative Transfer Equation

2016 ◽  
Vol 20 (5) ◽  
pp. 1443-1465 ◽  
Author(s):  
Cheng Wang ◽  
Qiwei Sheng ◽  
Weimin Han
Keyword(s):  
Radiative Transfer ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Diffusion Method ◽  
Accurate Approximation ◽  
Test Functions ◽  
Discrete Ordinate ◽  
Science And Engineering ◽  
Artificial Diffusion ◽  
Streamline Diffusion

AbstractThe radiative transfer equation (RTE) arises in many different areas of science and engineering. In this paper, we propose and investigate a discrete-ordinate discontinuous-streamline diffusion (DODSD) method for solving the RTE, which is a combination of the discrete-ordinate technique and the discontinuous-streamline diffusion method. Different from the discrete-ordinate discontinuous Galerkin (DODG) method for the RTE, an artificial diffusion parameter is added to the test functions in the spatial discretization. Stability and error estimates in certain norms are proved. Numerical results show that the proposed method can lead to a more accurate approximation in comparison with the DODG method.

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