Cross-Section Homogenization for Reactivity-Induced Transient Calculations

References

• Ade, B. J. (2012). Scale/triton primer: A primer for light water reactor lattice physics calculations. Technical report, Oak Ridge National Lab, Oak Ridge, TN. NUREG/CR-7041, ORNL/TM-2011/21.
   Google Scholar
• An, H.-B., Wen, J., Feng, T. (2011). On finite difference approximation of a matrix-vector product in the Jacobian-free Newton Krylov method. Journal of Computational and Applied Mathematics 236(6):1399–1409.
   Google Scholar
• Baudron, A. M., Fougeras, P., Mugat, P., Martinolli, E. Dutheillet, Y. (2009). APOLLO3: A common project of CEA, AREVA and EDF for the development of a new deterministic multi-purpose code for core physics analysis. In International Conference on Mathematics, Computational Methods and Reactor Physics, Saratoga Springs, NY.
   Google Scholar
• Bell, G., Glasstone, S. Nuclear Reactor Theory. Van Nostrand Reinhold Company, New York, Cincinnati, Toronto, London, Melborne, 1970.
   Google Scholar
• Charrier, P., Dubroca, B., Duffa, G., Turpault, R. (2003). Schèma implicite pour un modèle d’hydrodynamique radiative multigroupe 2D. Technical report, LRC-03.16. http://www.math.u-bordeaux.fr/LRC-CEA/.
   Google Scholar
• Dall’Osso, A. (2015). Neutron spectrum kinetics in the infinite homogeneous reactor. Annals of Nuclear Energy 85:662–669.
   Google Scholar
• Dugan, K. (2013). Dynamic Adaptive Multimesh Refinement for Coupled Physics Equations Applicable to Nuclear Engineering. Master’s thesis, Texas A&M University.
   Google Scholar
• Dugan, K., Zmijarevic, I., Sanchez, R. (2016). Cross Section Homogenization Technique for Transient Calculations. In Physics of Reactors (PHYSOR), Sun Valley, ID. (Accepted for Presentation).
   Google Scholar
• Gaston, D., Newman, C., Hansen, G., Lebrun-Grandié, D. (2009). MOOSE: A parallel computational framework for coupled systems of nonlinear equations. Nuclear Engineering and Design 239(10):1768–1778.
   Google Scholar
• Henry, A. F. (1964). The Application of inhour modes to the description of nonseparable reactor transients. Nuclear Science and Engineering 20:338–351.
   Google Scholar
• Kaya, S., Yavuz, H. (2000). A nodal kinetics and thermohydraulics analysis (NOKTA) code for analyzing rod-ejection accidents and other transients in nuclear power reactor cores. Nuclear Technology 129(1):26–35.
   Google Scholar
• Knoll, D., Keyes, D. (2004). Jacobian-free Newton-Krylov methods: A survey of approaches and applications. Journal of Computational Physics 193(2):357–397.
   Google Scholar
• Larsen, E. W. (1975). Neutron transport and diffusion in inhomogeneous media I. Journal of Mathematical Physics, 16(7):1421–1427.
   Google Scholar
• Larsen, E. W. (1976). Neutron transport and diffusion in inhomogeneous media. II. Nuclear Science and Engineering 60(4):357–368.
   Google Scholar
• Mahadevan, V. S., Ragusa, J. C., Mousseau, V. A. (2012). A verification exercise in multiphysics simulations for coupled reactor physics calculations. Progress in Nuclear Energy 55:12–32.
   Google Scholar
• Sanchez, R. (2009). Assembly homogenization techniques for core calculations. Progress in Nuclear Energy 51(1):14–31.
   Google Scholar
• Tyobeka, B., Pautz, A., Ivanov, K. (2011). Application of time-dependent neutron transport theory to high-temperature reactors of pebble bed type. Nuclear Science and Engineering 168(2):93–114.
   Google Scholar
• Verdú, G., Miró, R., Sánchez, A. M., Roselló, O., Ginestar, D., Vidal, V. (2004). Peach bottom transients analysis with TRAC/BF1-VALKIN. Nuclear Science and Engineering 148(2):256–269.
   Google Scholar
• Won, J.H., N. Z. Cho (2011). Discrete ordinates method-like transport computation with equivalent group condensation and angle-collapsing for local/global iteration. Annals of Nuclear Energy 38(4):846–852.
   Google Scholar
• Yasseri, S., Rahnema, F. (2014a). Consistent Spatial Homogenization in Transport Theory. Nuclear Science and Engineering 176(3):292–311.
   Google Scholar
• Yasseri S., Rahnema., F. (2014b). On the Consistent Spatial Homogenization Method in Neutron Transport Theory. Journal of Computational and Theoretical Transport, 43(1-7):240–261.
   Google Scholar
• Zhang, H., Rizwan-uddin, Dorning, J. J. (1997). A multiple-scales systematic theory for the simultaneous homogenization of lattice cells and fuel assemblies. Transport Theory and Statistical Physics 26(7):765–811.
   Google Scholar