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Application of variational-synthesis methods in neutron-physics research on reactors

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Conclusion

Variational-synthesis methods have found application in many areas of research on reactor physics. These methods are used successfully to describe both the steady states of reactors and the dynamics of the neutron field [56, 57].

Despite the differences in the classes of approximation of the solution and the algorithms of the equations variational-synthesis methods are characterized by a compact representation of the basic data arrays and a saving of computing time (by a factor of no less than 7–8) in comparison with iterative methods. The synthesis methods are especially effective in solving reactor problems with many independent variables, since they permit a considerable reduction of the volume of data stored and processed by a computer.

In view of what has been said above variational-synthesis methods can be considered as computational instruments for the expeditious study of neutron-physical processes in reactors. Another important area of application of these methods is that of optimization of the neutron-physical parameters on reactors, considered as a constituent part of the comprehensive optimization of the technical and economic indicators of an atomic power plant. In this area the application of variational-synthesis methods is determined primarily by the speed of the programs. Because of their economy these methods can be used successfully in mathematical models of existing reactors for their operational servicing.

Concurrently with the development of computing technique, improvements are being made in the mathematical methods of solving reactor problems. In the new computing technique that has now appeared, qualitatively new approaches are taken to the execution of computations, making it possible to consider existing mathematical methods in a different way. The use of multiprocessor computers as well as computers with processors that include matrix modules will open up the possibilities of variational-synthesis methods much more widely, since the iden of carrying out parallel computations corresponds to the approach of synthesis methods with separation of the initial problem into several connected subproblems which have a matrix structure.

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Authors
  1. V. V. Khromov
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  2. V. B. Glebov
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Translated from Atomnaya Énergiya, Vol. 58, No. 5, pp. 360–369, May, 1985.

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Khromov, V.V., Glebov, V.B. Application of variational-synthesis methods in neutron-physics research on reactors. At Energy 58, 410–422 (1985). https://doi.org/10.1007/BF01121932

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