A Shannon entropy-based strategy for adjusting history number of time-dependent transport problem automatically

Shangguan Danhua; Deng Li; Li Gang; Zhang Baoyin

doi:10.11884/HPLPB201830.170250

Volume 30 Issue 1

Jan. 2018

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Shangguan Danhua, Deng Li, Li Gang, et al. A Shannon entropy-based strategy for adjusting history number of time-dependent transport problem automatically[J]. High Power Laser and Particle Beams, 2018, 30: 016004. doi: 10.11884/HPLPB201830.170250

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Shangguan Danhua, Deng Li, Li Gang, et al. A Shannon entropy-based strategy for adjusting history number of time-dependent transport problem automatically[J]. High Power Laser and Particle Beams, 2018, 30: 016004. doi: 10.11884/HPLPB201830.170250

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A Shannon entropy-based strategy for adjusting history number of time-dependent transport problem automatically

doi: 10.11884/HPLPB201830.170250

Institute of Applied Physics and Com putational Mathematics, Beijing 100094, China

Received Date: 2017-06-21
Rev Recd Date: 2017-08-03
Publish Date: 2018-01-15

Abstract

Abstract

This paper proposes a Shannon entropy-based strategy for adjusting history number of time-dependent transport problem automatically. By dividing the total history number of each step into many batches and simulating all batches one by one, we calculate the Shannon entropy of the survival particle distribution after each batch. If the on-the-fly diagnostic of convergence of entropy shows the survival particle distribution has converged, the calculation of the current step will be stopped in advance and the next step will be activated immediately. Test for a one-dimensional model shows this strategy has decreased the calculation time greatly while keeping the results almost unchanged simultaneously.
- time-dependent transport,
- Shannon entropy,
- on-the-fly diagnostic

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References

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