Researching | Applicability analysis of reduced order modeling methods for fluid dynamics in molten salt reactor

NUCLEAR TECHNIQUES, Volume. 47, Issue 9, 090604(2024)

Applicability analysis of reduced order modeling methods for fluid dynamics in molten salt reactor

Ming LIN¹, Maosong CHENG^1,2、*, Xiangzhou CAI^1,2, and Zhimin DAI^1,2

Author Affiliations

¹Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China

²University of Chinese Academy of Sciences, Beijing 100049, China

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References(37)

[1] JIANG Mianheng, XU Hongjie, DAI Zhimin. Advanced fission energy program-TMSR nuclear energy system[J]. Bulletin of Chinese Academy of Sciences, 27, 366-374(2012).

[2] Lin M, Cheng M S, Dai Z M. Feasibility of an innovative long-life molten chloride-cooled reactor[J]. Nuclear Science and Techniques, 31, 33(2020).

[3] SONG Shiyang, CHENG Maosong, LIN Ming et al. Development and application of multi-scale thermal fluid coupling program for molten salt cooled fast reactor based on RELAP5 and sub-channel program[J]. Nuclear Techniques, 45, 070602(2022).

[4] ZUO Xiandi, CHENG Maosong, DAI Zhimin. Development and validation of a three-dimensional dynamics code for liquid-fueled molten salt reactors[J]. Nuclear Techniques, 45, 030603(2022).

[5] DING Mengting, CHEN Yushuang, FU Yuan. Thermal hydraulic performance analysis of printed circuit heat exchanger based on high temperature molten salt[J]. Nuclear Techniques, 47, 040601(2024).

[6] YANG Mingrui, SUN Qizheng, LUO Chixu et al. Development and verification of a neutronics-thermal hydraulics coupling code with unstructured meshes neutron transport model[J]. Nuclear Techniques, 46, 030601(2023).

[7] ZHU Yaolin, YANG Zhihai, CHEN Xihao. Investigation on the methods of model reduction[J]. Microcomputer Information, 27, 22-25(2011).

[8] Hijazi S, Stabile G, Mola A et al. Data-driven POD-Galerkin reduced order model for turbulent flows[J]. Journal of Computational Physics, 416, 109513(2020).

[9] Girfoglio M, Quaini A, Rozza G. A POD-Galerkin reduced order model for a LES filtering approach[J]. Journal of Computational Physics, 436, 110260(2021).

[10] Prusak I, Torlo D, Nonino M et al. Optimisation: based coupling of finite element model and reduced order model for computational fluid dynamics[EB/OL](2024). http://arxiv.org/abs/2402.10570

[11] Min G Y, Ma Y, Wang Y H et al. Flow fields prediction for data-driven model of 5×5 fuel rod bundles based on POD-RBFNN surrogate model[J]. Nuclear Engineering and Design, 422, 113117(2024).

[12] CHUN Siqi, FENG Huan, ZHANG Anni et al. Method of predicting transient thermal hydraulic parameters of the core based on the gated recurrent unit model of soft attention[J]. Nuclear Techniques, 47, 010603(2024).

[13] ZHOU Tianze, YU Kaicheng, CHENG Maosong et al. Development and analysis of a K-nearest-neighbor-based transient identification model for molten salt reactor systems[J]. Nuclear Techniques, 46, 110604(2023).

[14] German P, Ragusa J C. Reduced-order modeling of parameterized multi-group diffusion k-eigenvalue problems[J]. Annals of Nuclear Energy, 134, 144-157(2019).

[15] Prince Z M, Ragusa J C. Application of proper generalized decomposition to multigroup neutron diffusion eigenvalue calculations[J]. Progress in Nuclear Energy, 121, 103232(2020).

[16] German P, Ragusa J C, Fiorina C. Application of multiphysics model order reduction to doppler/neutronic feedback[J]. EPJ Nuclear Sciences & Technologies, 5, 17(2019).

[17] Xiang Z C, Chen Q F, Zhao P C. Application of data-driven model reduction techniques in reactor neutron field calculations[J]. Nuclear Engineering and Technology(2024).

[18] MIN Guangyun, FENG Linna, JIANG Naibin. Flow-induced vibration characteristics analysis of EPR fuel rods based on POD method[J]. Chinese Journal of Theoretical and Applied Mechanics, 56, 659-669(2024).

[19] Sartori A, Cammi A, Luzzi L et al. A multi-physics reduced order model for the analysis of Lead Fast Reactor single channel[J]. Annals of Nuclear Energy, 87, 198-208(2016).

[20] Lorenzi S, Cammi A, Luzzi L et al. A reduced order model for investigating the dynamics of the Gen-IV LFR coolant pool[J]. Applied Mathematical Modelling, 46, 263-284(2017).

[21] Yang T, Zhao P C, Zhao Y N et al. Development of reduced-order thermal stratification model for upper plenum of a lead–bismuth fast reactor based on CFD[J]. Nuclear Engineering and Technology, 55, 2835-2843(2023).

[22] Balajewicz M, Dowell E H. Stabilization of projection-based reduced order models of the Navier–Stokes[J]. Nonlinear Dynamics, 70, 1619-1632(2012).

[23] Lorenzi S, Cammi A, Luzzi L et al. POD-Galerkin method for finite volume approximation of Navier-Stokes and RANS equations[J]. Computer Methods in Applied Mechanics and Engineering, 311, 151-179(2016).

[24] Ballarin F, Manzoni A, Quarteroni A et al. Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations[J]. International Journal for Numerical Methods in Engineering, 102, 1136-1161(2015).

[25] Jasak H. OpenFOAM: Open source CFD in research and industry[J]. International Journal of Naval Architecture and Ocean Engineering, 1, 89-94(2009).

[26] Ramzy Altahhan M, Bhaskar S, Ziyad D et al. Preliminary design and analysis of Liquid Fuel Molten Salt Reactor using multi-physics code GeN-Foam[J]. Nuclear Engineering and Design, 369, 110826(2020).

[27] Schilders W H A, van der Vorst H A, Rommes J[M]. Model order reduction: theory, research aspects and applications(2008).

[28] Chinesta F, Ladeveze P, Cueto E. A short review on model order reduction based on proper generalized decomposition[J]. Archives of Computational Methods in Engineering, 18, 395-404(2011).

[29] Dumon A, Allery C, Ammar A. Proper general decomposition (PGD) for the resolution of Navier–Stokes equations[J]. Journal of Computational Physics, 230, 1387-1407(2011).

[30] Stabile G, Hijazi S, Mola A et al. POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder[J]. Communications in Applied and Industrial Mathematics, 8, 210-236(2017).

[31] Quarteroni A, Manzoni A, Negri F[M]. Reduced basis methods for partial differential equations: an introduction(2015).

[32] Moukalled F, Mangani L, Darwish M. The finite volume method[M]. The Finite Volume Method in Computational Fluid Dynamics, 103-135(2015).

[33] Iliescu T, Wang Z. Variational multiscale proper orthogonal decomposition: Navier-stokes equations[J]. Numerical Methods for Partial Differential Equations, 30, 641-663(2014).

[34] Kunisch K, Volkwein S. Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics[J]. SIAM Journal on Numerical Analysis, 40, 492-515(2002).

[35] Gerner A L, Veroy K. Certified reduced basis methods for parametrized saddle point problems[J]. SIAM Journal on Scientific Computing, 34, A2812-A2836(2012).

[36] Chaturantabut S, Sorensen D C. Nonlinear model reduction via discrete empirical interpolation[J]. SIAM Journal on Scientific Computing, 32, 2737-2764(2010).

[37] Hijazi S, Ali S, Stabile G et al. The effort of increasing Reynolds number in projection-based reduced order methods: from laminar to turbulent flows[M]. Numerical Methods for Flows, 245-264(2020).

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Ming LIN, Maosong CHENG, Xiangzhou CAI, Zhimin DAI. Applicability analysis of reduced order modeling methods for fluid dynamics in molten salt reactor[J]. NUCLEAR TECHNIQUES, 2024, 47(9): 090604

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Paper Information

Category: NUCLEAR ENERGY SCIENCE AND ENGINEERING

Received: Mar. 6, 2024

Accepted: --

Published Online: Nov. 13, 2024

The Author Email:

DOI:10.11889/j.0253-3219.2024.hjs.47.090604

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