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A S{sub 2}-like acceleration method for the Nonlinear Characteristic transport scheme

Conference ·
OSTI ID:10171774
Recently a nonlinear spatial differencing scheme for solving the discrete-ordinate equations was introduced. This scheme, referred to as the Nonlinear Characteristic (NC) scheme, is accurate for both optically thin and optically thick spatial meshes and is strictly positive. The NC discrete-ordinate equations can be solved using the source iteration (SI) method. It is well known that the SI method converges infinitely slowly for optically thick problems with scattering ratios near unity. In this summary, we describe a S{sub 2}-like acceleration scheme for accelerating the convergence of the SI method as applied to the NC scheme and provide results to show how effective it is.
Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
10171774
Report Number(s):
LA-UR--94-2397; CONF-941102--13; ON: DE94016285
Country of Publication:
United States
Language:
English