Development of the FHR advanced natural circulation analysis code and application to FHR safety analysis

Abstract The University of California, Berkeley (UCB) is performing thermal hydraulics safety analysis to develop the technical basis for design and licensing of fluoride-salt-cooled, high-temperature reactors (FHRs). FHR designs investigated by UCB use natural circulation for emergency, passive decay heat removal when normal decay heat removal systems fail. The FHR advanced natural circulation analysis (FANCY) code has been developed for assessment of passive decay heat removal capability and safety analysis of these innovative system designs. The FANCY code uses a one-dimensional, semi-implicit scheme to solve for pressure-linked mass, momentum and energy conservation equations. Graph theory is used to automatically generate a staggered mesh for complicated pipe network systems. Heat structure models have been implemented for three types of boundary conditions (Dirichlet, Neumann and Robin boundary conditions). Heat structures can be composed of several layers of different materials, and are used for simulation of heat structure temperature distribution and heat transfer rate. Control models are used to simulate sequences of events or trips of safety systems. A proportional-integral controller is also used to automatically make thermal hydraulic systems reach desired steady state conditions. A point kinetics model is used to model reactor kinetics behavior with temperature reactivity feedback. The underlying large sparse linear systems in these models are efficiently solved by using direct and iterative solvers provided by the SuperLU code on high performance machines. Input interfaces are designed to increase the flexibility of simulation for complicated thermal hydraulic systems. This paper mainly focuses on the methodology used to develop the FANCY code, and safety analysis of the Mark 1 pebble-bed FHR under development at UCB is performed.

[1]  Per F. Peterson,et al.  Design and licensing strategies for the fluoride-salt-cooled, high-temperature reactor (FHR) technology , 2014 .

[2]  N.R. Malik,et al.  Graph theory with applications to engineering and computer science , 1975, Proceedings of the IEEE.

[3]  Yue Wang,et al.  Validation of Mesh- and Timestep- Independent Spray Models for Multi-Dimensional Engine CFD Simulation , 2010 .

[4]  P. N. Haubenreich,et al.  ZERO-POWER PHYSICS EXPERIMENTS ON THE MOLTEN-SALT REACTOR EXPERIMENT. , 1968 .

[5]  Xiaoye S. Li,et al.  SuperLU Users'' Guide , 1997 .

[6]  A. T. Cisneros,et al.  Pebble Bed Reactors Design Optimization Methods and their Application to the Pebble Bed Fluoride Salt Cooled High Temperature Reactor (PB-FHR) , 2013 .

[7]  A. Bejan,et al.  Convection in Porous Media , 1992 .

[8]  S. Ergun Fluid flow through packed columns , 1952 .

[9]  J. A. Bondy,et al.  Graph Theory with Applications , 1978 .

[10]  James Demmel,et al.  A Supernodal Approach to Sparse Partial Pivoting , 1999, SIAM J. Matrix Anal. Appl..

[11]  M. Tribus,et al.  Heat Transfer to Laminar Flow in a Round Tube on Flat Conduit. The Graetz Problem Extended , 1951 .

[12]  Per F. Peterson,et al.  Options for Scaled Experiments for High Temperature Liquid Salt and Helium Fluid Mechanics and Convective Heat Transfer , 2008 .

[13]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[14]  P. F. Peterson,et al.  VALIDATION OF BEST ESTIMATE MODELS FOR FLUORIDE-SALT-COOLED , HIGH-TEMPERATURE REACTORS USING DATA FROM THE COMPACT INTEGRAL EFFECTS TEST ( CIET 1 . 0 ) FACILITY , 2015 .

[15]  Nam Zin Cho,et al.  Two-temperature homogenized model for steady-state and transient thermal analyses of a pebble with distributed fuel particles , 2009 .

[16]  Wenxi Tian,et al.  Simulations of unprotected loss of heat sink and combination of events accidents for a molten salt reactor , 2013 .

[17]  Chia-Jung Hsu Numerical Heat Transfer and Fluid Flow , 1981 .

[18]  S. Churchill,et al.  Correlating equations for laminar and turbulent free convection from a vertical plate , 1975 .

[19]  F. Dittus,et al.  Heat transfer in automobile radiators of the tubular type , 1930 .