Karhunen–Loeve functions for non-Kolmogorov turbulence
| Autor: | Valeri G. Orlov, Valeri V. Voitsekhovich |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Karhunen–Loève theorem
Physics 010504 meteorology & atmospheric sciences Zernike polynomials Covariance matrix Turbulence Computational Mechanics Phase (waves) General Physics and Astronomy Condensed Matter Physics 01 natural sciences Statistics::Computation Physics::Fluid Dynamics Nonlinear Sciences::Chaotic Dynamics 010309 optics symbols.namesake Mechanics of Materials 0103 physical sciences symbols Statistical physics 0105 earth and related environmental sciences |
| Zdroj: | Journal of Turbulence. 18:560-568 |
| ISSN: | 1468-5248 |
| Popis: | Karhunen–Loeve functions for the case of non-Kolmogorov turbulence are calculated. The calculations are performed using the covariance matrix of Zernike coefficients which is derived in analytical form. It is shown that the Karhunen–Loeve expansion is more efficient than the Zernike one for simulations of high-order, turbulence-induced phase distortions. |
| Databáze: | OpenAIRE |
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