Download High Performance Computing in Science and Engineering ’02: by Franz Gähler, Christopher Kohler, Johannes Roth, Hans-Rainer PDF
By Franz Gähler, Christopher Kohler, Johannes Roth, Hans-Rainer Trebin (auth.), Egon Krause, Willi Jäger (eds.)
This ebook provides the state of the art in modeling and simulation on supercomputers. best German examine teams current their effects accomplished on high-end structures of the excessive functionality Computing heart Stuttgart (HLRS) for the yr 2002. studies conceal all fields of supercomputing simulation starting from computational fluid dynamics to machine technological know-how. certain emphasis is given to industrially suitable functions. in addition, through providing effects for either vector sytems and micro-processor established platforms the booklet permits to match functionality degrees and usefulness of quite a few supercomputer architectures. It for this reason turns into an crucial guidebook to evaluate the influence of the japanese Earth Simulator undertaking on supercomputing within the years to come.
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The abstracts and papers during this quantity have been awarded on the 5th Annual foreign Computing and Combinatorics convention (COCOON ’99), which used to be held in Tokyo, Japan from July 26 to twenty-eight, 1999. the subjects conceal such a lot features of theoretical desktop technology and combinatorics bearing on computing.
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Extra resources for High Performance Computing in Science and Engineering ’02: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2002
Sample text
2. The unstable modes vary seemingly continuously in going from ellipsoidal to spherical containers so that the container shape does not matter. In the sphere, the Poincare solution is a solid body rotation which is a stable flow, so that viscous corrections to the Poincare flow must be responsible for the instabilities. The range of parameters accessible numerically is limited mainly by the onset of the boundary layer instability accompanied by unresolvably small scales. Figure 2 presents a well resolved case, but at slightly more extreme parameters, the simultaion is underresolved and runs into numerical instability.
On the other hand, spectral methods provide a better convergence behavior than finite difference or finite element methods. Thus, the goal is to benefit from both techniques as much as possible. , 2001). Time stepping is J;-::::formed by a combination of an Adams-Bashforth second order scheme treating all the right hand sides of equations (2) explicitly, whereas the terms at the left hand sides are included in an implicit CrankNicolson step. At the beginning of a time integration an Euler step is used to start up the scheme.
9 '. i .... , ..... _ , ... i ..... " ....... ... 05 , ~~,. 07 009 Fig. 6. 1. A section of a much longer time series is shown with the energies E t (short dashed line), Et. (long dashed line) and Ep (dotted line) displayed in the upper graph and the Nusselt number NUi (solid line) and Nu o (dashed line) in the lower graph. the time sequence of plots shown in Fig. 7b. Oscillations in the magnetic field strength are clearly apparent which show some correlation with the spatial structure of the differential rotation, but not with its energy Et .