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Based on a three\u2010parameter description of the computer hardware, two dimensionless ratios, which are only a function of the problem size and the hardware parameters, completely determine the scaling. Contours of constant self\u2010speed\u2010up can be drawn on a two\u2010dimensional dimensionless universal scaling diagram (DUSD). This diagram is for a particular class of timing expressions that can be shown to represent approximately the performance of a corresponding class of computer programs or benchmarks, but it applies to all computers describable by the three hardware parameters and to all problem sizes. Thus the dimensionless ratios play a similar role in the study of computer performance, as do the Reynolds and other dimensionless numbers in fluid dynamics. This dimensional analysis of computer performance is illustrated by the case of the FFT1 benchmark from the Southampton \u2018Genesis\u2019 distributed\u2010memory benchmarks.<\/jats:p>","DOI":"10.1002\/cpe.4330070204","type":"journal-article","created":{"date-parts":[[2006,11,17]],"date-time":"2006-11-17T15:09:38Z","timestamp":1163776178000},"page":"147-166","source":"Crossref","is-referenced-by-count":9,"title":["Computational similarity"],"prefix":"10.1002","volume":"7","author":[{"given":"Roger W.","family":"Hockney","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,25]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"An Introduction to Fluid Dynamics","author":"Batchelor G. K.","year":"1967"},{"key":"e_1_2_1_3_2","volume-title":"Hydrodynamics","author":"Birkhoff Garrett","year":"1960"},{"key":"e_1_2_1_4_2","volume-title":"Dimensional Analysis","author":"Bridgman P. 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