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ACCURACY AND EFFICIENCY OF A COUPLED NEUTRONICS AND THERMAL HYDRAULICS MODEL
Pope, Michael A.,Mousseau, Vincent A. Korean Nuclear Society 2009 Nuclear Engineering and Technology Vol.41 No.7
This manuscript will discuss a numerical method where the six equations of two-phase flow, the solid heat conduction equations, and the two equations that describe neutron diffusion and precursor concentration are solved together in a tightly coupled, nonlinear fashion for a simplified model of a nuclear reactor core. This approach has two important advantages. The first advantage is a higher level of accuracy. Because the equations are solved together in a single nonlinear system, the solution is more accurate than the traditional "operator split" approach where the two-phase flow equations are solved first, the heat conduction is solved second and the neutron diffusion is solved third, limiting the temporal accuracy to $1^{st}$ order because the nonlinear coupling between the physics is handled explicitly. The second advantage of the method described in this manuscript is that the time step control in the fully implicit system can be based on the timescale of the solution rather than a stability-based time step restriction like the material Courant limit required of operator-split methods. In this work, a pilot code was used which employs this tightly coupled, fully implicit method to simulate a reactor core. Results are presented from a simulated control rod movement which show $2^{nd}$ order accuracy in time. Also described in this paper is a simulated rod ejection demonstrating how the fastest timescale of the problem can change between the state variables of neutronics, conduction and two-phase flow during the course of a transient.
ACCURACY AND EFFICIENCY OF A COUPLED NEUTRONICS AND THERMAL HYDRAULICS MODEL
MICHAEL A. POPE,VINCENT A. MOUSSEAU 한국원자력학회 2009 Nuclear Engineering and Technology Vol.41 No.7
This manuscript will discuss a numerical method where the six equations of two-phase flow, the solid heat conduction equations, and the two equations that describe neutron diffusion and precursor concentration are solved together in a tightly coupled, nonlinear fashion for a simplified model of a nuclear reactor core. This approach has two important advantages. The first advantage is a higher level of accuracy. Because the equations are solved together in a single nonlinear system, the solution is more accurate than the traditional “operator split” approach where the two-phase flow equations are solved first, the heat conduction is solved second and the neutron diffusion is solved third, limiting the temporal accuracy to 1st order because the nonlinear coupling between the physics is handled explicitly. The second advantage of the method described in this manuscript is that the time step control in the fully implicit system can be based on the timescale of the solution rather than a stability-based time step restriction like the material Courant limit required of operator-split methods. In this work, a pilot code was used which employs this tightly coupled, fully implicit method to simulate a reactor core. Results are presented from a simulated control rod movement which show 2nd order accuracy in time. Also described in this paper is a simulated rod ejection demonstrating how the fastest timescale of the problem can change between the state variables of neutronics, conduction and two-phase flow during the course of a transient.
Investigating the Effects of Low-Dose Radiation from Chernobyl to Fukushima: History Repeats Itself
( Anders Pape Moller ),( Timothy A. Mousseau ) 경남대학교 극동문제연구소 2013 ASIAN PERSPECTIVE Vol.37 No.4
The disasters at Chernobyl and Fukushima released large amounts of radioactive material, equivalent to many hundreds of nuclear bombs the size of those at Hiroshima and Nagasaki. Currently, there is worldwide interest in the effects of so-called low-dose radiation on public health and on biological systems from molecules to ecosystems. Research efforts to quantify these effects constitute a curious mixture of Soviet science, research by independent scientists, and research supported by the nuclear industry. The article explains how navigating between these diverse efforts can be reconciled to synthesize available information to the benefit of the general public and the policymaking community. KEYWORDS: Fukushima nuclear disaster, Chernobyl nuclear disaster, nuclear industry, Soviet science.The disasters at Chernobyl and Fukushima released large amounts of radioactive material, equivalent to many hundreds of nuclear bombs the size of those at Hiroshima and Nagasaki. Currently, there is worldwide interest in the effects of so-called low-dose radiation on public health and on biological systems from molecules to ecosystems. Research efforts to quantify these effects constitute a curious mixture of Soviet science, research by independent scientists, and research supported by the nuclear industry. The article explains how navigating between these diverse efforts can be reconciled to synthesize available information to the benefit of the general public and the policymaking community. KEYWORDS: Fukushima nuclear disaster, Chernobyl nuclear disaster, nuclear industry, Soviet science.