Abstract

The use of Data Assimilation methodologies, known also as a data adjustment, liaises the results of theoretical and experimental studies improving an accuracy of simulation models and giving a confidence to designers and regulation bodies. From the mathematical point of view, it approaches an optimized fit to experimental data revealing unknown causes by known consequences that would be crucial for data calibration and validation. Data assimilation adds value in a ND evaluation process, adjusting nuclear data to particular application providing so-called optimized design-oriented library, calibrating nuclear data involving IEs since all theories and differential experiments provide the only relative values, and providing an evidence-based background for validation of Nuclear data libraries substantiating the UQ process. Similarly, it valorizes experimental data and the experiments, as such involving them in a scientific turnover extracting essential information inherently contained in legacy and newly set up experiments, and prioritizing dedicated basic experimental programs. Given that a number of popular algorithms, including deterministic like Generalized Linear Least Square methodology and stochastic ones like Backward and Hierarchic or Total Monte-Carlo, Hierarchic Monte-Carlo, etc., being different in terms of particular numerical formalism are, though, commonly grounded on the Bayesian theoretical basis. They demonstrated sufficient maturity, providing optimized design-oriented data libraries or evidence-based backgrounds for a science-driven validation of general-purpose libraries in a wide range of practical applications.

Highlights

  • The first practical use of Data Assimilation (DA) in the nuclear engineering started in the sixties to take a maximum of benefits from rare À that time À experimental data, developing nuclear reactor design concepts and improving problem-oriented nuclear data libraries [1,2,3,4,5].From the very beginning it involved the deterministic algorithms, such as a Generalized Linear Least Square methodology (GLLSM) associated that time with Ordinary and Generalized Perturbation Theory (OPT and GPT) [1,2,6,7]

  • We are discussing below some examples of good practice and tendencies in DA deployment to characterize in certain extent a technological readiness À maturity À of DA methodologies

  • The adjustment critically depends on a quality of Integral Experimental (IE) data, including consistency of their uncertainties and covariance (see component Vb IE in Eqs. (6) and (7)). These uncertainties and experimental covariance matrices are resulted from the physics-based evaluation of measurements, as such, and the experimental conditions in the manner similar to what has been implemented in the International Criticality Safety Benchmark Experiments Project(ICSBEP) and the International Reactor Physics Experiments (IRPhE) Project, for example [7,25]

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Summary

Introduction

The first practical use of Data Assimilation (DA) in the nuclear engineering started in the sixties to take a maximum of benefits from rare À that time À experimental data, developing nuclear reactor design concepts and improving problem-oriented nuclear data libraries [1,2,3,4,5]. In any applications the mathematical models and data libraries to become suitable for the adjustment should be somehow parametrized using either Reduced Order Models (ROM) or variables inherent to nuclear reactions simulations [1,13,15,16]. We are discussing below some examples of good practice and tendencies in DA deployment to characterize in certain extent a technological readiness À maturity À of DA methodologies

Methodological background
Parametrization strategies
Integral experiments data and an evidence-based background
Information content of the posterior bias and uncertainties
Best practice in data assimilation worldwide
Discussion: technology readiness level
Conclusions
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