Dynamic mode decomposition of numerical data in natural circulation
DOI:
https://doi.org/10.15392/bjrs.v8i3A.1431Keywords:
DMD, natural circulation, numerical dataAbstract
Dynamic mode decomposition (DMD) has been used for experimental and numerical data analysis in fluid dynamics. Despite of its advantages, the application of the DMD methodology to investigate the natural circulation in nuclear reactors are very scarce in literature. In this paper it is applied the traditional DMD and its variation, the sparsity-promoting dynamic mode decomposition (SPDMD), for analysis of temperature and velocity fields data, generated by computational simulation of an experimental setup in reduced scale, similar to a heat removal system by natural circulation of a pool-type research reactor. Firstly the numerical data is partitioned, using a space-time correlation approach, in order to identify fundamental sequences to compute the dynamic modes. Next, the DMD and SPDMD methodologies are applied over each subsequence to obtain the dynamic modes of the temperature and velocity fields. Finally the flow fields are reconstructed and compared with the original numerical data. The conclusion is that the SPDMD performs better than DMD to represent both the temperature and velocity data.
- Views: 154
- PDF Downloads: 186
Downloads
References
ISHIDA, T; YORITSUNE, T. Effects of ship motions on natural circulation of deep sea research reactor DRX. Nuclear Engineering and Design, 215, p. 51–67, 2002.
AZZOUNE, M.; MAMMOU, L; BOULHEOUCHAT, M. H; ZIDI, T; MOKEDDEM, M. Y; BELAID, S; BOUSBIA SALAH, A; MEFTAH, B; BOUMEDIEN, A. NUR research reactor safety analysis study for long time natural convection (NC) operation mode. Nuclear Engineering and Design, 240, p. 823–831, 2010.
LU, D; XIAO, Z; CHEN, B. A new method to derive one set of scaling criteria for reactor natural circulation at single and two-phase conditions. Nuclear Engineering and Design, 240, p. 3851–3861, 2010.
ZHANG, J; SHEN, X; FUJIHARA, Y; SANO, T; YAMAMOTO, T; NAKAJIMA, K. Experimental study on the safety of Kyoto University Research Reactor at natural circulation cooling mode. Annals of Nuclear Energy, 76, p. 410–420, 2015.
SHIEH, A. S; RAMSON, V. H; KRISHNAMURTY, R. RELAP5/MOD3 Code Manual, v. 6: Validation of Numerical Techniques, NUREG/CR-5535, EGG-2596, US-NRC, Washington DC, USA , 1994.
VIJAYAN, P. K; AUSTREGESILO, H; TESCHENDORFF, V. Simulation of the unstable oscillatory behavior of single-phase natural circulation with repetitive flow reversals in a rectangular loop using the computer code ATHLET. Nuclear Engineering and Design, 155, p. 623–641, 1995.
ANSTO. Replacement research facility - SAR chapter 1, INVAP, p. 1–58, 2004.
LEE, K. Y.; YOON, H. G.; PARK, D. K. CFD Analysis of a decay tank and a siphon breaker for an innovative integrated passive safety system for a research reactor. Science and Technology of Nuclear Installations, p. 1–9, 2017.
ARDANEH, K.; ZAFERANLOUEI, S. A lumped parameter core dynamics model for MTR type research reactors under natural convection regime. Annals of Nuclear Energy, 56, p. 243–250, 2013.
HAINOUN, A.; GHAZI, N.; ABDUL-MOAIZ, B.; MANSOUR, B. Safety analysis of the IAEA reference research reactor during loss of flow accident using the code MERSAT. Nuclear Engineering and Design, 240(5), p. 1132–1138, 2010.
SHI, S.; HIBIKI, T.; ISHII, M. Startup instability in natural circulation driven nuclear reactors. Progress in Nuclear Energy, 90, p. 140–150, 2016.
KARAMI, I.; AGHAIE, M. Sensitivity analysis of numerical schemes in natural cooling flows for low power research reactors. Advances in Energy Research, 5 (3), p. 255–275, 2017.
SCHMID, P. J. Dynamic mode decomposition of numerical and experimental data, Journal of Fluid Mechanics, 656, p. 5–28, 2010.
GOLUB, G. H.; VAN LOAN, C. F. Matrix computations, The Johns Hopkins University Press, Baltimore, USA, 1996.
JOVANOVIC, M. R.; SCHMID, P. J.; NICHOLS, J. W. Sparsity-promoting dynamic mode decomposition. Phys. Fluids, 26 (2), 2014.
RYSAK, A.; LITAK, G.; MOSDORF, R.; GÓRSKI, G. Investigation of two-phase flow patterns by analysis of eulerian space-time correlations. International Journal of Multiphase Flow, 85 (C), p. 23–37, 2016.
VIJAYAN, P. K.; NAYAK, A. K. Introduction to instabilities in natural circulation systems. Joint ICTP-IAEA Course on Natural Circulation Phenomena and Passive Safety Systems in Advanced Water Cooled Reactors - Lecture Notes for T-06, p. 1–30, Trieste, Italy, 2010.
JOVANOVIĆ, M. R.; SCHMID, P. J.; NICHOLS, J. W. Sparsity-promoting dynamic mode decomposition code. http://people.ece.umn.edu/users/mihailo/software/dmdsp/, 2013.
RAMOS, E. M.; GIRALDI, G. A.; DARZE, G. M.; FACCINI, J. L. H. Dynamic mode decomposition for analyzing two-phase flows video data, In: 10th INTERNATIONAL CONFERENCE ON MULTIPHASE FLOW (ICMF), Rio de Janeiro, Brazil, May 19-24, p. 1–10, 2019.
SELESNICK, I. W.; PAREKH, A.; BAYRAM, I. Convex 1-d total variation denoising with non-convex regularization. IEEE Signal Processing Letters, 22, p.141–144, 2015.
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Brazilian Journal of Radiation Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
Licensing: The BJRS articles are licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/