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A Spatially Variant Rebalancing Method forDiscrete-Ordinates Transport Equation

Abstract : In this paper we propose a new non-linear technique for accelerat-ing source iterations for the discrete-ordinates transport equation. Themethod, called Spatially Variant Rebalancing Method (SVRM), is basedon the computation of the zero and first order spatial variation of theneutron balance equation. The non-linear acceleration is applied to themethod of characteristics (MOC) with a step-approximation of the source.The new acceleration is meant to catch high-order variation of the neutronflux within the spatial mesh. The paper proposes a numerical analysis ofthe technique based on the explicit computation of the Jacobian. Thelatter is analyzed with both spectral and Fourier analysis. Also, a com-parison of the new method with CMFD, DSA, and BPA has been donefor a parametrized heterogeneous problem that allows the study of theperformances of the method in different transport regimes.
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W. Ford, E. Masiello, C. Calvin, F. Févotte, B. Lathuilliere. A Spatially Variant Rebalancing Method forDiscrete-Ordinates Transport Equation. Annals of Nuclear Energy, Elsevier Masson, 2019, 133, pp.589-602. ⟨10.1016/j.anucene.2019.06.046⟩. ⟨cea-02339871⟩

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