Numerical Proof of Self-Similarity in Burgers' Turbulence
| dc.creator | Aurell, Erik | |
| dc.creator | Gurbatov, Sergey N. | |
| dc.creator | Simdyankin, Sergey I. | |
| dc.date | 1996-02-23 | |
| dc.date.accessioned | 2026-07-07T09:16:01Z | |
| dc.date.available | 2026-07-07T09:16:01Z | |
| dc.description | We study the statistical properties of solutions to Burgers' equation, $v_t + vv_x = νv_{xx}$, for large times, when the initial velocity and its potential are stationary Gaussian processes. The initial power spectral density at small wave numbers follows a steep power-law $E_0(k) \sim |k|^n$ where the exponent $n$ is greater than two. We compare results of numerical simulations with dimensional predictions, and with asymptotic analytical theory. The theory predicts self-similarity of statistical characteristics of the turbulence, and also leads to a logarithmic correction to the law of energy decay in comparison with dimensional analysis. We confirm numerically the existence of self-similarity for the power spectral density, and the existence of a logarithmic correction to the dimensional predictions. | |
| dc.description | LaTeX, 18 pages (no figures) Hardcopy with figures available from britta@pdc.kth.se, Physics of Fluids A (submitted) | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9602005 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9602005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153217 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Numerical Proof of Self-Similarity in Burgers' Turbulence | |
| dc.type | text |