Difference between revisions of "Coupled multi-physics calculations"

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(Power relaxation)
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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
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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 15:33, 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 n is calculated by

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),

where P^{n} is the unrelaxed power distribution tallied on iteration n, P_{\mathrm{rel}}^{n-1} is the relaxed power distribution after the previous iteration, s_{i} is the active neutron population simulated on iteration i and d is an underrelaxation factor that can be defined by the set relfactor option.

Output