A feasibility study on the use of the MOOSE computational framework to simulate three-dimensional deformation of CANDU reactor fuel elements

Abstract Horizontally oriented fuel bundles, such as those in CANada Deuterium Uranium (CANDU) reactors present unique modeling challenges. After long irradiation times or during severe transients the fuel elements can laterally deform out of plane due to processes known as bow and sag. Bowing is a thermally driven process that causes the fuel elements to laterally deform when a temperature gradient develops across the diameter of the element. Sagging is a coupled mechanical and thermal process caused by deformation of the fuel pin due to creep mechanisms of the sheathing after long irradiation times and or high temperatures. These out-of-plane deformations can lead to reduced coolant flow and a reduction in coolability of the fuel bundle. In extreme cases element-to-element or element-to-pressure tube contact could occur leading to reduced coolant flow in the subchannels or pressure tube rupture leading to a loss of coolant accident. This paper evaluates the capability of the Multiphysics Object-Oriented Simulation Environment (MOOSE) framework developed at the Idaho National Laboratory to model these deformation mechanisms. The material model capabilities of MOOSE and its ability to simulate contact are also investigated.

[1]  Jerry F. Kerrisk,et al.  Smoothed Values of the Enthalpy and Heat Capacity of UO2 , 1972 .

[2]  David Andrs,et al.  Multidimensional multiphysics simulation of nuclear fuel behavior , 2012 .

[3]  Michael R. Tonks,et al.  Demonstrating the Temperature Gradient Impact on Grain Growth in UO2 Using the Phase Field Method , 2014 .

[4]  H. Matzke,et al.  A Pragmatic Approach to Modelling Thermal Conductivity of Irradiated UO2 Fuel. Review and Recommendations , 1996 .

[5]  Donald R. Olander,et al.  Fundamental aspects of nuclear reactor fuel elements : prepared for the Division of Reactor Development and Demonstration, Energy Research and Development Administration , 1976 .

[6]  He Sills,et al.  Predicting High-Temperature Transient Deformation from Microstructural Models , 1979 .

[7]  Derek Gaston,et al.  MOOSE: A parallel computational framework for coupled systems of nonlinear equations , 2009 .

[8]  J. S. Bell,et al.  CANDU fuel bundle deformation modelling with COMSOL multiphysics , 2012 .

[9]  Michael S. Eldred,et al.  DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's reference manual. , 2010 .

[10]  Benjamin W. Spencer,et al.  Multidimensional multiphysics simulation of TRISO particle fuel , 2013 .

[11]  Donald R. Olander,et al.  Fundamental Aspects of Nuclear Reactor Fuel Elements , 1976 .

[12]  Mixed linear complementary formulation of lateral contacts among a system of parallel beams , 2008 .

[13]  A. L. Loeb Thermal Conductivity: VIII, A Theory of Thermal Conductivity of Porous Materials , 1954 .