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 foreign convention together promoted by means 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 points of nuclear modelling and simulation in conception and perform, to advertise the trade of data and event among diversified foreign examine teams during this box, and to bolster the foreign touch among builders and clients of modelling and simulation suggestions. at the party of the Symposium humans of medical and engineering disciplines will meet to debate the state of the art and destiny actions and advancements. numerous contributed papers has been strictly tested and chosen through the papers committee to assure a excessive overseas commonplace. The ebook comprises the approved papers so that it will be offered on the Symposium. The papers were categorised in response to the next themes: 1. instruments 2. SIMULATION-SOFTWARE-TOOLS three. PLANT ANALYSER four. REACTOR center five. NUCLEAR WASTE Authors from nine nations will meet on the Symposium. They paintings for commercial businesses, Universities and the study and improvement Institutes in order that a large spectrum of simulation actions is roofed: idea and alertness, and software program, study and operations. The editor is greatful to the authors for making attainable the booklet of this ebook, and particularly to WOLFGANG F. WERNEB, for the choice of the papers and the contribution to the good fortune of the Symposium.
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Extra resources for Nuclear Simulation: Proceedings of an International Symposium and Workshop, October 1987, Schliersee, West Germany
Due to the explicit treatment of transverse directions, all implicit l-dimen- 34 sional problems related to a selected space coordinate can be executed in parallel. By eliminating the intermediate values u n+1/3 and u n+2/3 . t 2 x Q x 0 y + Q Q + 0 x Q y Q z z y Q) (un+1 - un) z (un+ 1 - un) = 0 The following observations can be made. The first line represents the . . du " u =. 0 Th e error terms 0 f t h e approximation 0 f t h e equation dt + .. second and third line are introduced by the splitting of the operator n+1 n Q.
Flexible, mathematically sound control of the error must be available. The specification of parameters controlling the error must be a user option. Error control is standard in many of the modern ordinary differential equation (ODE) solver packages /32,33/. However I their use in 31 this context requires that a semi-discrete approach /34/ (continuous in time, discrete in space) is taken for the solution of the partial differential equations (POE's) of the process models. Then the influence of the temporal discretisation error can be kept at any desired level.
Of Compo Physics, Vol. 24, 1974, pp. 299-319 /36/ U. Graf, P. Romstedt, W. Werner: Use of a Dynamic Grid Adaptation in the Asymmetric Weighted Residual Method, Nuclear Science and Engineering, 92, 66-70 (1986) /37/ J . Douglas, H. H. Rachford : On the Numerical Solution of the Heat Conduction Problems in two and three variables, Trans. Americ. Math. Soc. 82 (1956), p . 421 43 /38/ U. Graf, W. Werner : Solution of 2- and 3-Dimensional PDE Problems: "An Implicit Time-Integration Method for Parallel Processing", International Topical Meeting on Advances in Reactor Physics, Mathematics and Computation, Hotel Meridien Montparnasse, Paris, 27-30 Avril 1987, Volume 1 /39/ J.