Author:
Wang Cheng,Sheng Qiwei,Han Weimin
Abstract
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.
Subject
Physics and Astronomy (miscellaneous)
Reference28 articles.
1. An Analysis of some Finite Element Methods for Advection-Diffusion Problems
2. Cubature over the sphere S2 in Sobolev spaces of arbitrary order
3. Recent developments in numerical techniques for transport-based medical imaging methods;Ren;Communications in Computational Physics 8,2010
4. Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
5. The discontinuous-streamline diffusion method for first-order hyperbolic equation;Sun;Mathematica Numerica Sinica 20,1998
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