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A new set of benchmarks has been developed for the performance evaluation of highly parallel supercomput-

A new set of benchmarks has been developed for the performance evaluation of highly parallel supercomputers. These benchmarks consist of ve \parallel kernel" benchmarks and three \simulated application" benchmarks. Together they mimic the computation and data movement c haracteristics of large scale computational uid dynamics applications.The principal distinguishing feature of these benchmarks is their \pencil and paper" speci cation | all details of these benchmarks are speci ed only algorithmically. In this way m a n y of the di culties associated with conventional benchmarking approaches on highly parallel systems are avoided.

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We present an almost uniform triangulation of the two-sphere, derived from the icosahedron, and describe a procedure for discretization of a partial differential equation using this triangular grid. The accuracy of our procedure is described by a strong theoretical estimate, and verified by large-scale numerical experiments. We also describe a data structure for this spherical discretization that allows fast computation on either a vector computer or an asynchronous parallel computer.