Accession Number : AD0653112
Title : LAGRANGIAN-HISTORY STATISTICAL THEORY FOR BURGERS' EQUATION.
Descriptive Note : Research rept.,
Corporate Author : KRAICHNAN (ROBERT H) PETERBOROUGH N H
Personal Author(s) : Kraichnan,Robert H.
Report Date : JUN 1967
Pagination or Media Count : 39
Abstract : The Lagrangian-history direct-interaction approximation for Burgers' equation yields a 1/(k sq) inertial-range spectrum and an infinite-Reynolds-number similarity solution which describes stationary, decaying sawtooth shock waves. This solution differs only by a numerical factor from an exact statistical solution of Burgers' equation into which almost all spatially periodic, zero-mean, infinite-Reynolds-number initial ensembles are expected to evolve. The different inertial-range predictions of the approximation for Burgers' equation and Navier-Stokes dynamics (where k to the -5/3 power results) are directly associated with the effects of pressure-induced accelerations on Langrangian correlation times. (Author)
Descriptors : (*SHOCK WAVES, STATISTICAL ANALYSIS), TURBULENCE, THEORY, APPROXIMATION(MATHEMATICS), REYNOLDS NUMBER, PRESSURE, CORRELATION TECHNIQUES
Subject Categories : Fluid Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE