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U.S. Department of Energy
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Nonlinear DSA difference schemes for radiative transfer applications

Conference ·
OSTI ID:5989772
A new 3-point nonlinear difference scheme for Diffusion Synthetic Acceleration of the radiation transport equation is described. The new scheme is compared with standard 1-point method on two test problems. In addition, the two DSA methods are used to accelerate a variety of discrete-ordinates difference schemes. The methods are very effective in accelerating the convergence of the transport iteration. Each of the DSA methods is accelerated by grey, or one-group, diffusion acceleration equation, which is also successful in increasing efficiency. The new 3-point method is at least 50% faster than the 1-point DSA method, the advantage grows with increasing difficulty of the problem and tighter convergence criteria. The new acceleration method reduces computer time by at least 1 order of magnitude compared to unaccelerated calculations.
Research Organization:
Los Alamos National Lab., NM (USA)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
5989772
Report Number(s):
LA-UR-84-3902; CONF-850411-4; ON: DE85005729
Country of Publication:
United States
Language:
English