High Performance Computing in Science and Engineering ’02: by Franz Gähler, Christopher Kohler, Johannes Roth, Hans-Rainer

By Franz Gähler, Christopher Kohler, Johannes Roth, Hans-Rainer Trebin (auth.), Egon Krause, Willi Jäger (eds.)

This publication provides the state of the art in modeling and simulation on supercomputers. best German examine teams current their effects completed on high-end structures of the excessive functionality Computing middle Stuttgart (HLRS) for the yr 2002. experiences hide all fields of supercomputing simulation starting from computational fluid dynamics to desktop technology. targeted emphasis is given to industrially appropriate purposes. in addition, by means of offering effects for either vector sytems and micro-processor dependent platforms the e-book permits to check functionality degrees and usefulness of quite a few supercomputer architectures. It consequently turns into an essential guidebook to evaluate the influence of the japanese Earth Simulator undertaking on supercomputing within the years to come.

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Extra info for High Performance Computing in Science and Engineering ’02: Transactions of the High Performance Computing Center Stuttgart (HLRS) 2002

Sample text

The engineering community was led by this problem to perform experiments with precessing containers which are very much the same as those motivated by geophysical problems ([20], [21 ]). Vortices in shear layers and turbulent flows may also be regarded as being locally in a state of uniform rotation. The instability of such a vortex, if stretched or deformed into an ellipsoidal rather than a circular cross section, is observed in a variety of transitional flows ([12], [7], [10]). The same type of distorted vortex also occurs in a precessing ellipsoidal vessel.

An impression of the boundary layer flow is given in Fig. 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.

The dynamo oscillations become much more pronounced as the Coriolis parameter T and the Rayleigh number R are increased. In Fig. 8a the strong nearly periodic oscillations are clearly seen. They represent a striking coherent structure of a highly turbulent system. The oscillations are similar to the relaxation oscillations of convection in the absence of a magnetic field in that the convection columns can grow in amplitude only if the differential rotation is sufficiently weak. While viscous diffusion leads to the decay of 26 R.

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