Assessment of the integrated mass conservative Kalman filter algorithm for Computational Thermo-Fluid Dynamics on the TRIGA Mark II reactor

ANSYS Inc., ANSYS Meshing User Guide, Version 15.0 (November 2013). Artana, 2012, Strong and weak constraint variational assimilation for reduced order fluid modelling, J. Comput. Phys., 231, 3264, 10.1016/j.jcp.2012.01.010 Bakosi, 2013, Large-eddy simulation of turbulent flows for grid-to-rod fretting in nuclear reactors, Nucl. Eng. Des., 262, 544, 10.1016/j.nucengdes.2013.06.007 Cammi, 2016, Characterisation of the TRIGA Mark II reactor full-power steady state, Nucl. Eng. Des., 300, 308, 10.1016/j.nucengdes.2016.01.026 Colburn, 2006, State estimation in wall-bounded flow systems, J. Fluid Mech., 552, 167, 10.1017/S0022112005008578 Darema, F., 2004. Dynamic data driven application systems: a new paradigm for application simulations and measurement. In: Computational Science - ICCS 2004: 4th International Conference, Krakow, Poland, 6–9 June, 2004, pp. 662–669. Ferziger, 2002 Germano, 1991, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids, 3, 1760, 10.1063/1.857955 Gronskis, 2013, Inflow and initial conditions for direct numerical simulation based on adjoint data assimilation, J. Comput. Phys., 242, 480, 10.1016/j.jcp.2013.01.051 Harvey, 1989 Henry, 2017, CFD/Monte-Carlo neutron transport coupling scheme, application to TRIGA reactor, Ann. Nucl. Energy, 110, 36, 10.1016/j.anucene.2017.06.018 Henry, 2017, Natural and mixed convection in the cylindrical pool of TRIGA reactor, Heat Mass Transfer, 53, 537, 10.1007/s00231-016-1833-2 Henry, 2018, Transient CFD/Monte-Carlo Neutron Transport Coupling Scheme for simulation of a control rod extraction in TRIGA reactor, Nucl. Eng. Des., 331, 302, 10.1016/j.nucengdes.2018.03.015 IAEA-TECDOC-1379, Use of computational fluid dynamics codes for safety analysis of nuclear reactor systems, Technical meeting, IAEA-NEA (November 2002). Introini, C., Lorenzi, S., Cammi, A., Baroli, D., Peters, B., Chiesa, D., Nastasi, M., Previtali, E., 2017. Comparison of Several RANS Modelling for the Pavia TRIGA Mark II Research Reactor. In: Proceedings of the 26th International Conference Nuclear Energy for New Europe (NENE26), Bled, Slovenia, 11–14 September 2017, 2018, p. 503. Introini, 2018, A Mass Conservative Kalman Filter Algorithm for Computational Thermo-Fluid Dynamics, Materials, 11, 2222, 10.3390/ma11112222 Introini, C., Lorenzi, S., Cammi, A., Baroli, D., Peters, B., Chiesa, D., Nastasi, M., Previtali, E., 2018. A 3D CFD Model for the Study of Natural Circulation in the Pavia TRIGA Mark II Research Reactor, in: Proceedings of the 26th International Conference Nuclear Energy for New Europe (NENE26), Bled, Slovenia, 11–14 September 2017, p. 508. Introini, C., Lorenzi, S., Cammi, A., Baroli, D., Peters, B., Chiesa, D., Nastasi, M., Previtali, E., 2019. Complete Thermal-Hydraulic Modelling of the Pavia TRIGA Mark II Research Reactor for the Study of the Natural Circulation Regime, in: Proceedings of the 12th International Topical Meeting on Nuclear Reactor Thermal-Hydraulics, Operation and Safety (NUTHOS12), Qingdao, China, 14–18 October 2018, p. 959. Jasak, 1996, Error analysis and estimation for the Finite Volume method with applications to fluid flow, Phd thesis, Imperial College of Science, Technology and Medicine, Department of, Mech. Eng. Kalman, 1960, A new approach to linear filtering and prediction problems, J. Basic Eng., 82, 35, 10.1115/1.3662552 Kato, 2013, Approach for uncertainty of turbulence modelling based on data assimilation techniques, Computational Fluids, 85, 2, 10.1016/j.compfluid.2012.09.002 Meldi, 2017, A reduced order model based on Kalman filtering for sequential data assimilation of turbulent flows, J. Comput. Phys., 347, 207, 10.1016/j.jcp.2017.06.042 Moukalled, F., Mangani, L., Darwish, M., 2016. The Finite Volume Method in Computational Fluid Dynamics, 1st Edition, Vol. 113 of Fluid Mechanics and Its Applications, Springer International Publishing, 2016. OpenFOAM Foundation, OpenFOAM User Guide, Version 4.0 (June 2016). Papadakis, 2010, Data assimilation with the weighted ensemble Kalman filter, Tellus, 62, 673, 10.1111/j.1600-0870.2010.00461.x Patankar, 1980 Roache, 1998 Salim, M.S., Cheah, S.C., 2009. Wall y+ Strategy for Dealing with Wall-bounded Turbulent Flows, in: Proceedings of the International Multi Conference of Engineers and Computer Scientists (IMECS2009), Vol. 2, Hong Kong, 18–20 March 2009, pp. 2165–2170. Schneider, 1987 Smagorinsky, 1963, General circulation experiments with the primitive equations: part i. the basic experiment, Mon. Weather Rev., 91, 99, 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2 Suzuki, 2012, Reduced-order Kalman-filtered hybrid simulation combining particle tracking velocimetry and direct numerical simulation, J. Fluid Mech., 709, 249, 10.1017/jfm.2012.334 Suzuki, 2015, Data assimilation in fluid dynamics, Fluid Dyn. Res., 47, 1, 10.1088/0169-5983/47/5/050001 Welch, 2006 D.C. Wilcox, Turbulence Modelling for CFD, 3rd Edition, DCW Industries, 2006. Yakhot, 1992, Development of turbulence models for shear flows by a double expansion technique, Phys. Fluids A, 4, 1510, 10.1063/1.858424