Abstract
Numerical modeling simulations and the use of high-performance computing are fundamental for detailed safety analysis, control and operation of a nuclear reactor, allowing the study and analysis of problems related with thermal-hydraulics, neutronic and the dynamic of fluids which are involved in these systems. In this work we introduce the bases for the implementation of the smoothed particle hydrodynamics (SPH) approach to analyze heat transfer in a nuclear reactor core. Heat transfer by means of convection is of great importance in many engineering applications and especially in the analysis of heat transfer in nuclear reactors. As a first approach, the natural convection in the gap (space that exists between the fuel rod and the cladding) can be analyzed helping to reduce uncertainty in such calculations that usually relies on empirical correlations while using other numerical tools. The numerical method developed in this work was validated while comparing the results obtained in previous numerical simulations and experimental data reported in the literature showing that our implementation is suitable for the study of heat transfer in nuclear reactors. Numerical simulations were done with the DualSPHysics open source code that allows to perform parallel calculations using different number of cores. The current implementation is a version written in CUDA (Compute Unified Device Architecture) that allows also the use of GPU processors (Graphics Processor Unit) to accelerate the calculations in parallel using a large number of cores contained in the GPU. This makes possible to analyze large systems using a reasonable computer time. The obtained results verified and validated our method and allowed us to have a strong solver for future applications of heat transfer in nuclear reactors fuel inside the reactor cores.
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References
Gingold, R.A., Monaghan, J.J.: Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181, 375–389 (1977)
Rodríguez-Paz, M., Bonet, J.: A corrected smooth particle hydrodynamics formulation of the shallow-water equations. Comput. Struct. 83(17–18), 1396–1410 (2005)
Sigalotti, L.D.G., López, H., Donoso, A., Sira, E., Klapp, J.: A shock-capturing SPH scheme based on adaptive kernel estimation. J. Comput. Phys. 212, 124–149 (2006)
Monaghan, J.J., Kos, A.: Solitary waves on a cretan beach, journal of waterway port, coastal, and ocean. Engineering 125, 145–154 (1999)
Crespo, A.J.C., et al.: DualSPHysics: open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH). Comput. Phys. Commun. 187, 204–216 (2015)
Verlet, L.: Computer experiments on classical fluids. I. Thermodynamical properties of Lennard-Jones molecules. Phys. Rev. 159, 98–103 (1967)
Harada, T., Koshizuka, S., Kawaguchi, Y.: Smoothed particle hydrodynamics on GPUs. In: Proceedings of the Computer Graphics International, pp. 63–70 (2007)
Yang, X., Kong, S.C.: Smoothed particle hydrodynamics method for evaporating multiphase flows. Phys. Rev. E 96, 033309 (2017). https://doi.org/10.1103/PhysRevE.96.033309
Kuehn, T.H., Goldstein, R.J.: An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders. J. Fluid Mech. 74(4), 695–719 (1976). https://doi.org/10.1017/S0022112076002012
Rook, R., Yildiz, M., Dost, S.: Modeling transient heat transfer using SPH and implicit time integration. Numer. Heat Transfer Part B: Fundam. 51(1), 1–23 (2007). https://doi.org/10.1080/10407790600762763
Acknowledgements
The authors are grateful for the financial support received from the strategic project No. 212602 (AZTLAN Platform) of the Energy Sustainability Sector Fund CONACyT-SENER for the elaboration of this work. Likewise, the author Felipe de Jesus Pahuamba Valdez thanks the National Polytechnic Institute and CONACyT for the scholarship received for their master’s studies and Dr. Carlos Enrique Alvarado Rodriguez, for the technical assistance provided for the realization of this project. We acknowledge funding from the European Union’s Horizon 2020 Programme under the ENERXICO Project, grant agreement No. 828947 and under the Mexican CONACYT- SENER-Hidrocarburos grant agreement No. B-S-69926. The authors thank ABACUS: Laboratory of Applied Mathematics and High-Performance Computing of the Mathematics Department of CINVESTAV-IPN for providing the computer facilities to accomplish this work.
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Pahuamba-Valdez, F., Mayoral-Villa, E., Alvarado-Rodríguez, C.E., Klapp, J., Gómez-Torres, A.M., Del Valle-Gallegos, E. (2019). Lagrangian Approach for the Study of Heat Transfer in a Nuclear Reactor Core Using the SPH Methodology. In: Torres, M., Klapp, J. (eds) Supercomputing. ISUM 2019. Communications in Computer and Information Science, vol 1151. Springer, Cham. https://doi.org/10.1007/978-3-030-38043-4_10
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DOI: https://doi.org/10.1007/978-3-030-38043-4_10
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