By M. R. Heller (auth.), Moshe R. Heller (eds.)

Welcome to Bavaria - Germany and to the overseas NUCLEAR SIMULATION SYMPOSIUM AND MATHEMATICAL MODELLING WORKSHOP. A triennial overseas convention together promoted by way of Control.Data, GRS and SCS, which happens at Schliersee, a small city close to the Alps. the purpose of the Symposium is to hide many of the elements of nuclear modelling and simulation in thought and perform, to advertise the trade of information and adventure among varied foreign study teams during this box, and to reinforce the overseas touch among builders and clients of modelling and simulation innovations. at the celebration of the Symposium humans of medical and engineering disciplines will meet to debate the cutting-edge and destiny actions and advancements. lots of contributed papers has been strictly tested and chosen by means of the papers committee to assure a excessive foreign typical. The ebook comprises the accredited papers with a purpose to be offered on the Symposium. The papers were categorised based on the subsequent themes: 1. instruments 2. SIMULATION-SOFTWARE-TOOLS three. PLANT ANALYSER four. REACTOR middle five. NUCLEAR WASTE Authors from nine nations will meet on the Symposium. They paintings for commercial businesses, Universities and the examine and improvement Institutes in order that a large spectrum of simulation actions is roofed: conception and alertness, and software program, study and operations. The editor is greatful to the authors for making attainable the book of this e-book, and particularly to WOLFGANG F. WERNEB, for the choice of the papers and the contribution to the luck of the Symposium.

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Extra info for Nuclear Simulation: Proceedings of an International Symposium and Workshop, October 1987, Schliersee, West Germany

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However, this desire meets great resistance for practical reasons: many codes incorparated in reactor simulation packages have originated as stand-alone programs; in order to be able to use them for simulation purposes they are coupled into operating on the simulation package in an in-tandem grids which are staggered in time. fashion, Unfortunately, straightforward use of this coupling strategy defeats any control of the time-discretisation error performed within subprograms. Careful analyses originally of the truncation stand-alone error occurring through coupling of codes is therefore required in order to preserve overall error control.

2 Parallelism in ODE-Solvers based on Local Extrapolation Variable-(high)order ODE-solvers based on local extrapolation are in practical use since many years /39, 32/. Independent of their computational details, all extrapolation methods are based on the following idea: initial values Un of the solution u(t) of du = f (t, u(t)) dt (2) are prescribed at t = tu . = In order to obtain an approximation Un +1 to the solution u(t n + Llt) u(t +1)' the basic step length Llt is subdivided into k subintervals of n Llt the length k ' k e {1,2,3,4,5,6,8,12} k k ~ 2 =2 Llt k =3 n+l Llt =1 I 3 • u 1 ~ 2 ~ 3 n+l u 2 ~ 3 n+l u 3 On each subinterval a discrete approximation of equation (2) is solved to yield the initial entries u~+1 , k = 1,2, .

The items discussed above suggest that one ODE -solver package should be used for the time integration of all differential equations, and that the simulation problem should be formulated in terms of one large non-linear system. However, this desire meets great resistance for practical reasons: many codes incorparated in reactor simulation packages have originated as stand-alone programs; in order to be able to use them for simulation purposes they are coupled into operating on the simulation package in an in-tandem grids which are staggered in time.

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