Convergents to Infinite Series in Turbulence Theory
- 5 October 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 174 (1), 240-246
- https://doi.org/10.1103/physrev.174.240
Abstract
Padé approximants to the irreducible diagram expansions are proposed as a possible source of convergent sequences of approximations to turbulence correlation functions. The approximants are used to close off infinite-series integral equations, which then must be solved for the correlation functions. Alternatively, they are applied to an explicit expansion about the direct-interaction, or random-coupling, approximation. Good results are obtained for an exactly soluble test problem, the random oscillator, which has served to exhibit inadequacies of some previous approximation schemes for turbulence.Keywords
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