A Numerical Study of the Burgers Turbulence at Extremely Large Reynolds Numbers
Abstract
The Burgers turbulence at extremely large Reynolds numbers expressed as a train of random triangular shocks is investigated by calculating its temporal development numerically. As a result it is found that the train of random triangular shocks settles down to a similarity state determined by the mean interval between two consecutive shock fronts \ell(t). In this state the turbulent energy decays as \includegraphics{dummy.eps}. The correlation function is expressed as R(r, t)/R(0, t)≃10.73 r/\ell(t) for small r and vanishes for large r, remaining positive. The energy spectrum E(k, t) is approximately conserved in time at small wave numbers and constant with respect to k, and E(k, t){=}A\{k\ell(t)\}^{2}, A being constant, at large wave numbers.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 March 1983
 DOI:
 10.1143/JPSJ.52.827
 Bibcode:
 1983JPSJ...52..827T
 Keywords:

 Burger Equation;
 Compressible Flow;
 Computational Fluid Dynamics;
 High Reynolds Number;
 Turbulent Flow;
 Two Dimensional Flow;
 Correlation;
 Energy Spectra;
 Equations Of Motion;
 Statistical Analysis;
 Fluid Mechanics and Heat Transfer