By M. D. Brough, C. T. Chudley (auth.), Jeffery Lewins, Martin Becker (eds.)

The Editors get pleasure from proposing an additional vol ume of their Annual evaluation sequence. the current quantity con tains six papers that could be stated to span from the idea of layout to the perform of operation of recent nuclear energy stations, accordingly focusing on nuclear power as a resource of electric strength. beginning with the main mathem atical, and continuing towards expertise, now we have the Chudley and Brough account of a brand new interpretation of (linear) Boltzmann delivery concept by way of the attribute or ray method. This seems new in program the following, yet after all the tactic is the kid of many classical experiences within the resolution of partial differen tial equations and proves to remarkably well-suited to trendy desktops and their numerical bases. we'd placed the object via Dickson and Doncals at the layout of heterogeneous cores subsequent, with its value for speedy reactors of the longer term. a few of the "central worthy" discrepancies, with their implication for safeguard and relia bility based on, inter alia, the Doppler influence, have made this an enormous zone for answer: to determine that we will be able to improve layout tools and codes that may reconcile idea and exper,. . . iment to the purpose at which theoretical designs may be approved for development with out the necessity for a full-scale mock up, as needed to be performed within the 1950's for the sunshine water re actors.

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M. and Wigner, W. , "Physical Theory of Neutron Chain Reactors ," University of Chicago, 1958. 3. Carlson, B. and Bell, V. , "Solution of the Transport Equation by the SN Method," Proceedings of the Second Geneva Conference, Page 2386. 1958. 4. " R498, 1967. AEEW- RAY SOLUTIONS OF THE TRANSPORT EQUATION 31 5. Askew, J. R. and Brissenden, R. , "Some Improvements in the DSN Method of B. Carlson for Solving the Neutron Transport Equation," AEEW-Rl6l, 1963, 6. Askew, J. , "Some Boundary Condition Problems Arising in the Application of Collision Probability Methods," Proceedings of the Vienna Seminar, Page 343, 1972.

In recent years, the cost of programming and interpretation has become more important than that associated with hardware. Conceptually· simple methods therefore will become "cheaper", when all things are taken into account, than more complex, possibly slightly quicker methods. 8). Applying this idea to many different types of problems, we should bear in mind that a large amount of effort to make a computer code more "efficient" is. not justified unless it makes the code very considerably quicker and does not obscure the underlying principle.

C. BWR with Cruciform Rod The geometry for benchmark problem No. 2 is shown in Figure 12. This problem, and particularly the presence of the cruciform control rod, is a particularly exhaustive test for any code. Here, there are essentially three types of pin cell: 1. closest to the cruciform rod 2. opposite the cruciform rod 3. diagonal cells RAY SOLUTIONS OF THE TRANSPORT EQUATION 27 Again, the results in each region can be divided into fuel, can and coolant. Clearly, the flux is lowest close to the cruciform rod, and a detailed absorption prediction by the CHARACTERISTICS method is compared with the best results in Table III.