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 CHENG1,2、*, Xiangzhou CAI1,2, and Zhimin DAI1,2
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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    Figures & Tables(13)
    Flow chart of construction of ROM calculation
    Diagram of LFMSR primary loop(a) Geometry, (b) 2D spatial mesh
    Relative power variation of the core under transient conditions (a) Laminar, (b) Turbulence
    Normalized modal eigenvalue curves of velocity, pressure and flow resistance (a) Laminar, (b) Turbulence
    L2 norm relative error of FV-ROM and SUP-ROM in different modes at laminar scenario (a) Velocity, (b) Pressure
    Absolute error of velocity and pressure field between FV-ROM and SUP-ROM at 350 s(a) Velocity (FV-ROM), (b) Velocity (SUP-ROM), (c) Pressure (FV-ROM), (d) Pressure (SUP-ROM)
    Single step time acceleration ratio of FV-ROM and SUP-ROM (color online)
    L2 norm relative errors of FV-ROM and SUP-ROM in different modes at turbulent scenario (a) Velocity, (b) Pressure
    Absolute errors of velocity and pressure field between FV-ROM and SUP-ROM at 5 s(a) Velocity (FV-ROM), (b) Velocity (SUP-ROM), (c) Pressure (FV-ROM), (d) Pressure (SUP-ROM)
    Single step time acceleration ratio of FV-ROM and SUP-ROM (color online)
    • Table 1. LFMSR thermophysical

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      Table 1. LFMSR thermophysical

      参数Parameter name参数值Parameter value
      密度Density / kg∙m-34 200
      热容Specific heat / J∙kg-1∙K-19 50

      热膨胀系数

      Thermal expansion coefficient / K-1

      4.60×10-4
      普朗特数Prandtl number2.945
    • Table 2. Velocity and pressure average L2 norm error and max L2 norm error

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      Table 2. Velocity and pressure average L2 norm error and max L2 norm error

      降阶方法ROM methodPOD模态数POD modese¯u/eu,max / %e¯p/ep,max / %
      FV-ROMNu=40.904/2.0215.932/22.362
      Nu=60.504/1.1642.941/14.65
      Nu=80.448/1.1171.482/12.176
      Nu=100.444/1.1100.865/10.046
      Nu=120.444/1.1240.747/8.985
      SUP-ROMNu=4 Nsup=2 Np=21.385/3.9850.241/0.579
      Nu=6 Nsup=4 Np=40.982/3.2060.197/0.753
      Nu=8 Nsup=6 Np=61.034/3.6980.197/0.745
      Nu=10 Nsup=8 Np=81.037/3.7040.187/0.778
      Nu=12 Nsup=10 Np=101.048/3.7780.188/0.778
    • Table 3. Velocity and pressure average L2 norm error and max L2 norm error

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      Table 3. Velocity and pressure average L2 norm error and max L2 norm error

      降阶方法ROM methodPOD模态数POD modese¯u/eu,max / %e¯p/ep,max / %
      FV-ROMNu=51.008/1.99327.595/43.227
      Nu=101.085/2.31236.628/58.602
      Nu=150.599/0.98913.217/27.148
      Nu=200.933/1.93930.938/155.336
      Nu=250.920/1.92929.935/50.816
      SUP-ROMNu=5 Nsup=2 Np=21.075/1.8470.406/1.071
      Nu=10 Nsup=2 Np=21.007/1.6790.263/0.945
      Nu=15 Nsup=3 Np=30.914/1.5100.387/1.027
      Nu=20 Nsup=4 Np=40.959/1.6360.259/0.938
      Nu=25 Nsup=5 Np=50.934/1.5760.253/0.933
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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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