Stochastic Implicit Euler burnup scheme

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The Stochastic Implicit Euler (SIE) burnup scheme is an alternative burnup scheme that can be used if the traditional predictor-corrector burnup schemes in Serpent exhibit unstable behavior.

Background

The theoretical background of the SIE scheme is described in [1]

Input

The SIE burnup scheme can be chosen with the set sie input card


Implementation

Usage

Noteworthy things

  • No neutron transport solution is actually calculated using the final concentrations for a certain point.

References

  1. ^ Dufek, J., Kotlyar, D. and Shwageraus, E. "The stochastic implicit Euler method – A stable coupling scheme for Monte Carlo burnup calculations", Ann. Nucl. Energy, 60 (2013) 295-300