# Difference between revisions of "Coupled multi-physics calculations"

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== Power relaxation == | == Power relaxation == | ||

− | Serpent relaxes the power distribution calculated in the iterations using the stochastic approximation based method, where the power distribution at iteration <math>n</math> is calculated by | + | Serpent relaxes the power distribution calculated in the iterations using the stochastic approximation based method<ref>Dufek, J. and Gudowski, W. "''Stochastic Approximation for Monte Carlo Calculation of Steady-State Conditions in Thermal Reactors''", Nucl. Sci. Eng, 152 (2006) 274-283</ref>, where the power distribution at iteration <math>n</math> is calculated by |

<math>P_{\mathrm{rel}}^{n} = P_{\mathrm{rel}}^{n-1} - \frac{s_{n}}{\sum_{i = 1}^{n} s_{n}} d \left(P_{\mathrm{rel}}^{n-1} - P^{n}\right),</math> | <math>P_{\mathrm{rel}}^{n} = P_{\mathrm{rel}}^{n-1} - \frac{s_{n}}{\sum_{i = 1}^{n} s_{n}} d \left(P_{\mathrm{rel}}^{n-1} - P^{n}\right),</math> |

## Revision as of 16:33, 1 December 2015

## External coupling

## Iteration

## Power relaxation

Serpent relaxes the power distribution calculated in the iterations using the stochastic approximation based method^{[1]}, where the power distribution at iteration is calculated by

where is the unrelaxed power distribution tallied on iteration , is the relaxed power distribution after the previous iteration, is the active neutron population simulated on iteration and is an underrelaxation factor that can be defined by the set relfactor option.