%0 Journal Article %T Solutions without Space-Time Separation for ADS Experiments: Overview on Developments and Applications %A B. Merk %A V. Glivici-Cotru£¿£¿ %J Science and Technology of Nuclear Installations %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/140946 %X The different analytical solutions without space-time separation foreseen for the analysis of ADS experiments are described. The SC3A experiment in the YALINA-Booster facility is described and investigated. For this investigation the very special configuration of YALINA-Booster is analyzed based on HELIOS calculations. The results for the time dependent diffusion and the time dependent equation are compared with the experimental results for the SC3A configuration. A comparison is given for the deviation between the analytical solution and the experimental results versus the different transport approximations. To improve the representation to the special configuration of YALINA- Booster, a new analytical solution for two energy groups with two sources (central external and boundary source) has been developed starting form the Green's function solution. Very good agreement has been found for these improved analytical solutions. 1. Introduction Different current and planned experiments (MUSE [1], YALINA [2], GUINEVERE [3]) are designed to study the zero power neutron physical behavior of accelerator-driven systems (ADSs). The detailed analysis of the kinetic space-time behavior of the neutron flux is important for the evaluation of these ADS experiments. Current analysis for all these experiments is based on the standard methods [4]¡ªSj£¿strand method [5] and Slope method [6]¡ªboth are based on the point kinetics equations [7]. The point kinetics equations are developed from different approximations to the transport equation. Nevertheless, all these partial differential equations of the transport equation are solved by the separation of space and time to derive the point kinetics equations. The separation of space and time does not provide useful results for cases with strongly space-time dependent external source [8]. In recent years, two big projects have been launched to solve the problem of subcriticality determination in ADS experiments and during ADS operation for the future. In the 6th European Framework program in the integrated project EUROTRANS, the domain 2, ECATS [9] has been dedicated to ADS experiments and the analysis methods for the experiments. In the same time frame, the IAEA has launched the coordinated research project ¡°Analytical and Experimental Benchmark Analyses of Accelerator Driven Systems (ADS)¡± [10]. Different correction methods based on Monte Carlo Results for the YALINA-Booster system have been derived for the Sj£¿strand method as well as for the Slope method in EUROTRANS/ECATS [11, 12]. Good results have been achieved with this %U http://www.hindawi.com/journals/stni/2012/140946/